×

Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Short Title: Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci.
Publisher: Royal Society Publishing, London
ISSN: 1364-5021; 1471-2946/e
Online: https://royalsocietypublishing.org/loi/rspa
https://www.jstor.org/journal/procmathphysengi
Predecessor: Proceedings A. Royal Society of London
Comments: Journal; This journal is available open access with a moving wall of 24 months.
Documents Indexed: 1,192 Publications (since 2015)
References Indexed: 898 Publications with 39,138 References.
all top 5

Authors

10 Goriely, Alain
9 Movchan, Alexander B.
9 Parnell, William J.
8 Abrahams, I. David
8 Kaplunov, Julius D.
7 Holm, Darryl Dallas
7 Neild, Simon A.
7 Simpson, Matthew J.
6 Ammari, Habib
6 Destrade, Michel
6 Kuznetsov, Andrey V.
6 Straughan, Brian
5 Ali, Sk Zeeshan
5 Brunton, Steven L.
5 Crampin, Edmund John
5 Dey, Subhasish
5 Fokas, Athanassios S.
5 Hill, Thomas L.
5 Jones, Ian S.
5 Kutz, J. Nathan
5 Kuznetsov, Ivan A.
5 Ogden, Raymond William
5 Porporato, Amilcare
5 Rogerson, Graham A.
5 Tronci, Cesare
4 Audoly, Basile
4 Bigoni, Davide
4 Bruno, Oscar P.
4 Carta, Giorgio
4 Chiribella, Giulio
4 Craster, Richard V.
4 Crowdy, Darren Gregory
4 Daly, Keith R.
4 Dorfmann, Luis
4 Fowler, Andrew C.
4 Fu, Yibin
4 Haberman, Michael R.
4 Haller, George
4 Hui, Chung-Yuen
4 Kent, Adrian
4 Maurel, Agnès
4 Mihai, L. Angela
4 Milton, Graeme Walter
4 Mishuris, Gennady S.
4 Neff, Patrizio
4 Paulino, Glaucio H.
4 Purohit, Prashant K.
4 Roose, Tiina
4 Rothman, Daniel H.
4 Shearer, Tom
4 Vella, Dominic
4 Yan, Zhenya
4 Zabarankin, Michael
4 Zhang, Guoqiang
3 Argatov, Ivan I.
3 Assier, Raphaël C.
3 Athanassoulis, Gerassimos A.
3 Ayton, Lorna J.
3 Bagarello, Fabio
3 Barbagallo, Gabriele
3 Barletta, Antonio
3 Broom, Mark
3 Cao, Jinde
3 Cavalieri, André V. G.
3 Celli, Michele
3 Champneys, Alan R.
3 Chen, Lin
3 Chen, Yichao
3 Choi, Gary Pui-Tung
3 Clanet, Christophe
3 Cohen, Yossi
3 Colbrook, Matthew J.
3 d’Agostino, Marco Valerio
3 El, Gennady A.
3 Evangelista, Luiz Roberto
3 Gawthrop, Peter J.
3 Ghorbaniasl, Ghader
3 Gower, Artur L.
3 Groh, Rainer M. J.
3 Guzina, Bojan B.
3 Hewitt, Ian J.
3 Holmes, Douglas P.
3 Jeffrey, Mike R.
3 Joshi, Nalini
3 Joy, Soumitra Roy
3 Kaminski Lenzi, Ervin
3 Kurths, Jürgen
3 Leimkuhler, Benedict J.
3 Liu, Zezhou
3 Madeo, Angela
3 Mahadevan, Lakshminarayanan
3 Mantelli, Elisa
3 Masuda, Naoki
3 Mazumder, Pinaki
3 McCue, Scott William
3 Mercier, Jean-François
3 Misseroni, Diego
3 Moulton, Derek E.
3 Muhlestein, Michael B.
3 Muratov, Cyrill B.
...and 2,392 more Authors
all top 5

Fields

307 Mechanics of deformable solids (74-XX)
265 Fluid mechanics (76-XX)
140 Partial differential equations (35-XX)
130 Statistical mechanics, structure of matter (82-XX)
116 Biology and other natural sciences (92-XX)
90 Optics, electromagnetic theory (78-XX)
90 Quantum theory (81-XX)
71 Geophysics (86-XX)
60 Dynamical systems and ergodic theory (37-XX)
58 Mechanics of particles and systems (70-XX)
48 Statistics (62-XX)
47 Numerical analysis (65-XX)
43 Ordinary differential equations (34-XX)
38 Probability theory and stochastic processes (60-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Information and communication theory, circuits (94-XX)
28 Classical thermodynamics, heat transfer (80-XX)
22 Computer science (68-XX)
20 Relativity and gravitational theory (83-XX)
18 Convex and discrete geometry (52-XX)
18 Systems theory; control (93-XX)
17 Combinatorics (05-XX)
14 Differential geometry (53-XX)
13 Difference and functional equations (39-XX)
13 Operations research, mathematical programming (90-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Special functions (33-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Astronomy and astrophysics (85-XX)
9 Functions of a complex variable (30-XX)
8 History and biography (01-XX)
8 Algebraic geometry (14-XX)
7 Integral equations (45-XX)
6 Number theory (11-XX)
6 Real functions (26-XX)
5 Nonassociative rings and algebras (17-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
1 Sequences, series, summability (40-XX)

Publications by Year

Citations contained in zbMATH Open

937 Publications have been cited 6,189 times in 5,150 Documents Cited by Year
Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397
Schaeffer, Hayden
123
2017
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
93
2020
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks. Zbl 1402.92030
Vlachas, Pantelis R.; Byeon, Wonmin; Wan, Zhong Y.; Sapsis, Themistoklis P.; Koumoutsakos, Petros
79
2018
The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278
Tian, Shou-Fu
70
2016
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
66
2018
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175
Kaiser, E.; Kutz, J. N.; Brunton, S. L.
63
2018
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
61
2020
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
60
2017
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252
Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E.
54
2017
The postulations á la d’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Zbl 1371.82032
dell’Isola, F.; Seppecher, P.; Della Corte, A.
54
2015
Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308
Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L.
54
2017
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
49
2020
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
46
2018
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064
Giorgio, I.; Rizzi, N. L.; Turco, E.
45
2017
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
44
2020
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio
41
2018
Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392
Ma, Wen-Xiu
35
2017
Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
34
2017
Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects. Zbl 1404.35398
Zhang, Jian-Hui; Wang, Lei; Liu, Chong
33
2017
Recoverability in quantum information theory. Zbl 1371.81070
Wilde, Mark M.
33
2015
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101
Cotter, C. J.; Gottwald, G. A.; Holm, D. D.
33
2017
Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393
Ma, Wen-Xiu
32
2017
Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. Zbl 1402.35070
Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai
32
2018
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226
Forest, Samuel
31
2016
A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. Zbl 1402.76065
Gouasmi, Ayoub; Parish, Eric J.; Duraisamy, Karthik
30
2017
Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136
Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary
29
2016
Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. Zbl 1404.92013
Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E.
29
2017
Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare
29
2019
Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398
El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J.
29
2019
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
29
2020
On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228
Li, Hongjie; Liu, Hongyu
28
2018
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018
Mihai, L. Angela; Goriely, Alain
28
2017
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
28
2020
Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084
Düring, Bertram; Wolfram, Marie-Therese
26
2015
Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133
Dalwadi, M. P.; Griffiths, I. M.; Bruna, M.
26
2015
A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064
Babaee, H.; Sapsis, T. P.
26
2016
Well-posed continuum equations for granular flow with compressibility and \(\mu(I)\)-rheology. Zbl 1404.76278
Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T.
26
2017
Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Zbl 1404.39004
Fu, Wei; Nijhoff, Frank W.
25
2017
Submesocale currents in the ocean. Zbl 1371.86012
McWilliams, James C.
25
2016
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
25
2020
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
24
2016
Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261
Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos
24
2016
Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
24
2017
Quantum speedup of Monte Carlo methods. Zbl 1371.82053
Montanaro, Ashley
23
2015
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024
Das, S.; Sahoo, T.; Meylan, M. H.
23
2018
Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach. Zbl 1472.92196
Arefin, Md. Rajib; Masaki, Tanaka; Kabir, K. M. Ariful; Tanimoto, Jun
23
2019
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
22
2017
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020
Zhang, Guoqiang; Yan, Zhenya; Wang, Li
22
2019
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027
Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A.
21
2017
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
21
2019
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
20
2017
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375
Zhang, Guoqiang; Yan, Zhenya
20
2018
Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L.
20
2019
Modelling and analysing the coexistence of dual dilemmas in the proactive vaccination game and retroactive treatment game in epidemic viral dynamics. Zbl 1472.92222
Kabir, K. M. Ariful; Tanimoto, Jun
20
2019
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446
Zhang, Zhi-Yong
20
2020
Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
19
2017
Universal recovery map for approximate Markov chains. Zbl 1376.81015
Sutter, David; Fawzi, Omar; Renner, Renato
19
2016
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio
19
2016
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
19
2017
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
19
2020
A fully coupled subwavelength resonance approach to filtering auditory signals. Zbl 1472.94022
Ammari, Habib; Davies, Bryn
19
2019
Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047
Breunung, Thomas; Haller, George
18
2018
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
18
2015
Quantum machine learning: a classical perspective. Zbl 1402.68154
Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide; Pontil, Massimiliano; Rocchetto, Andrea; Severini, Simone; Wossnig, Leonard
18
2018
Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058
Freistühler, Heinrich; Temple, Blake
18
2017
Whitham modulation theory for the Kadomtsev-Petviashvili equation. Zbl 1404.35382
Ablowitz, Mark J.; Biondini, Gino; Wang, Qiao
18
2017
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
17
2015
Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043
El, Gennady A.; Smyth, Noel F.
17
2016
Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space. Zbl 1371.78330
Bruno, Oscar P.; Shipman, Stephen P.; Turc, Catalin; Venakides, Stephanos
17
2016
Point vortex interactions on a toroidal surface. Zbl 1371.76046
Sakajo, Takashi; Shimizu, Yuuki
17
2016
Bidispersive-inclined convection. Zbl 1371.80017
Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian
17
2016
Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation. Zbl 1371.35268
Bertola, Marco; El, Gennady A.; Tovbis, Alexander
17
2016
Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010
Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.
17
2018
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
16
2017
Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101
Muratov, Cyrill B.; Slastikov, Valeriy V.
16
2017
Discretization of polynomial vector fields by polarization. Zbl 1372.65201
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
16
2015
A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area. Zbl 1371.53062
Dallaston, Michael C.; McCue, Scott W.
16
2016
On well-posedness of variational models of charged drops. Zbl 1371.76163
Muratov, Cyrill B.; Novaga, Matteo
16
2016
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
16
2016
On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047
Meng, Shixu; Guzina, Bojan B.
16
2018
Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates. Zbl 1402.76165
Sun, Wen-Rong; Wang, Lei
16
2018
Control of chaotic systems by deep reinforcement learning. Zbl 1472.68171
Bucci, M. A.; Semeraro, O.; Allauzen, A.; Wisniewski, G.; Cordier, L.; Mathelin, L.
16
2019
Bidispersive vertical convection. Zbl 1404.76257
Gentile, M.; Straughan, B.
15
2017
Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298
Wang, Zhan
15
2017
Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025
Chebakov, R.; Kaplunov, J.; Rogerson, G. A.
15
2016
Formal groups and \(Z\)-entropies. Zbl 1371.94581
Tempesta, Piergiulio
15
2016
On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction. Zbl 1404.74065
Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G.
15
2017
Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders – including Wood anomalies. Zbl 1404.78024
Bruno, Oscar P.; Fernandez-Lado, Agustin G.
15
2017
Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078
Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J.
14
2017
A non-local asymptotic theory for thin elastic plates. Zbl 1404.74092
Chebakov, R.; Kaplunov, J.; Rogerson, G. A.
14
2017
On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio
14
2017
Hamiltonian structure for two-dimensional extended Green-Naghdi equations. Zbl 1371.76032
Matsuno, Yoshimasa
14
2016
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
14
2016
Bayesian adaptation of chaos representations using variational inference and sampling on geodesics. Zbl 1407.62087
Tsilifis, P.; Ghanem, R. G.
14
2018
Windowed Green function method for the Helmholtz equation in the presence of multiply layered media. Zbl 1402.78011
Bruno, O. P.; Pérez-Arancibia, C.
14
2017
Evanescent wave boundary layers in metamaterials and sidestepping them through a variational approach. Zbl 1404.74116
Srivastava, Ankit; Willis, John R.
14
2017
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Öttinger, Hans Christian
14
2020
The mathematics of asymptotic stability in the Kuramoto model. Zbl 1425.35206
Dietert, Helge; Fernandez, Bastien
14
2018
Satellite conjunction analysis and the false confidence theorem. Zbl 1472.62173
Balch, Michael Scott; Martin, Ryan; Ferson, Scott
14
2019
Vigorous convection in porous media. Zbl 1472.76094
Hewitt, D. R.
14
2020
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
93
2020
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
61
2020
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
49
2020
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
44
2020
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
29
2020
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
28
2020
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
25
2020
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446
Zhang, Zhi-Yong
20
2020
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
19
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Öttinger, Hans Christian
14
2020
Vigorous convection in porous media. Zbl 1472.76094
Hewitt, D. R.
14
2020
A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179
Giraldo-Londoño, Oliver; Paulino, Glaucio H.
14
2020
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241
Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John
14
2020
A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020
Patnaik, Sansit; Semperlotti, Fabio
13
2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010
Pelinovsky, Dmitry E.; White, Robert E.
13
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
13
2020
Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149
Bressloff, P. C.
13
2020
How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. Zbl 1439.70030
Cenedese, Mattia; Haller, George
12
2020
Learning partial differential equations for biological transport models from noisy spatio-temporal data. Zbl 1439.35493
Lagergren, John H.; Nardini, John T.; Lavigne, G. Michael; Rutter, Erica M.; Flores, Kevin B.
12
2020
Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133
Ammari, Habib; Davies, Bryn
12
2020
Steering eco-evolutionary game dynamics with manifold control. Zbl 1472.91009
Wang, Xin; Zheng, Zhiming; Fu, Feng
12
2020
The super-Stückelberg procedure and dS in pure supergravity. Zbl 1472.83109
Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne
12
2020
Non-relativistic limits and three-dimensional coadjoint Poincaré gravity. Zbl 1472.83067
Bergshoeff, Eric; Gomis, Joaquim; Salgado-Rebolledo, Patricio
12
2020
Shallow neural networks for fluid flow reconstruction with limited sensors. Zbl 1472.68172
Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan
12
2020
Exponential stability in Mindlin’s form II gradient thermoelasticity with microtemperatures of type III. Zbl 1472.74006
Aouadi, M.; Passarella, F.; Tibullo, V.
12
2020
Fokas method for linear boundary value problems involving mixed spatial derivatives. Zbl 1472.35210
Batal, A.; Fokas, A. S.; Özsarı, T.
10
2020
A new class of mass dimension one fermions. Zbl 1472.81305
Ahluwalia, Dharam Vir
10
2020
Shape analysis via inconsistent surface registration. Zbl 1472.53108
Choi, Gary P. T.; Qiu, Di; Lui, Lok Ming
10
2020
Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems. Zbl 1472.65174
Haidar, Azzam; Bayraktar, Harun; Tomov, Stanimire; Dongarra, Jack; Higham, Nicholas J.
10
2020
Heterogeneity in evolutionary games: an analysis of the risk perception. Zbl 1472.91005
Amaral, Marco A.; Javarone, Marco A.
9
2020
Fixed-time synchronization of quaternion-valued neural networks with time-varying delay. Zbl 1472.34135
Kumar, Umesh; Das, Subir; Huang, Chuangxia; Cao, Jinde
9
2020
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. Zbl 1472.78029
Wen, Xiao-Yong; Yan, Zhenya; Zhang, Guoqiang
9
2020
Bayesian differential programming for robust systems identification under uncertainty. Zbl 1472.68166
Yang, Yibo; Bhouri, Mohamed Aziz; Perdikaris, Paris
9
2020
The relationship between viscoelasticity and elasticity. Zbl 1472.74038
Snoeijer, J. H.; Pandey, A.; Herrada, M. A.; Eggers, J.
9
2020
Integrable two-component systems of difference equations. Zbl 1439.39005
Kassotakis, Pavlos; Nieszporski, Maciej; Papageorgiou, Vassilios; Tongas, Anastasios
8
2020
Beyond non-backtracking: non-cycling network centrality measures. Zbl 1472.05081
Arrigo, Francesca; Higham, Desmond J.; Noferini, Vanni
8
2020
Knot polynomials of open and closed curves. Zbl 1472.57011
Panagiotou, Eleni; Kauffman, Louis H.
8
2020
Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Zbl 1472.92174
Fadai, Nabil T.; Johnston, Stuart T.; Simpson, Matthew J.
8
2020
Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150
Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila
7
2020
Output-weighted optimal sampling for Bayesian regression and rare event statistics using few samples. Zbl 1439.62177
Sapsis, Themistoklis P.
7
2020
Two-loop n-point anomalous amplitudes in \(\mathcal{N} = 4\) supergravity. Zbl 1472.83099
Bern, Zvi; Kosower, David; Parra-Martinez, Julio
7
2020
An interacting conformal chiral 2-form electrodynamics in six dimensions. Zbl 1472.81196
Townsend, Paul K.
7
2020
Polarization whorls from M87* at the event horizon telescope. Zbl 1472.83057
Lupsasca, Alexandru; Kapec, Daniel; Shi, Yichen; Gates, Delilah E. A.; Strominger, Andrew
7
2020
From a discrete model of chemotaxis with volume-filling to a generalized Patlak-Keller-Segel model. Zbl 1472.92062
Bubba, Federica; Lorenzi, Tommaso; Macfarlane, Fiona R.
7
2020
A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Zbl 1472.74026
Yu, Xiang; Fu, Yibin; Dai, Hui-Hui
7
2020
Functional difference equations and eigenfunctions of a Schrödinger operator with \(\delta' -\) interaction on a circular conical surface. Zbl 1472.35105
Lyalinov, Mikhail A.
7
2020
Turing and Benjamin-Feir instability mechanisms in non-autonomous systems. Zbl 1472.35221
van Gorder, Robert A.
7
2020
Influence of temperature on Turing pattern formation. Zbl 1472.35410
van Gorder, Robert A.
7
2020
Improved phase-field models of melting and dissolution in multi-component flows. Zbl 1472.76105
Hester, Eric W.; Couston, Louis-Alexandre; Favier, Benjamin; Burns, Keaton J.; Vasil, Geoffrey M.
7
2020
A proof of validity for multiphase Whitham modulation theory. Zbl 1472.35332
Bridges, Thomas J.; Kostianko, Anna; Schneider, Guido
7
2020
Heavy-tailed distributions, correlations, kurtosis and Taylor’s law of fluctuation scaling. Zbl 1472.60030
Cohen, Joel E.; Davis, Richard A.; Samorodnitsky, Gennady
7
2020
The hidden unstable orbits of maps with gaps. Zbl 1439.37051
Jeffrey, Mike R.; Webber, Simon
6
2020
Scattering on a square lattice from a crack with a damage zone. Zbl 1472.74122
Sharma, Basant Lal; Mishuris, Gennady
6
2020
A new Rayleigh-like wave in guided propagation of antiplane waves in couple stress materials. Zbl 1472.74114
Nobili, A.; Radi, E.; Signorini, C.
6
2020
A framework for second-order eigenvector centralities and clustering coefficients. Zbl 1472.65043
Arrigo, Francesca; Higham, Desmond J.; Tudisco, Francesco
6
2020
Direct linearization approach to discrete integrable systems associated with \(\mathbb{Z}_\mathcal{N}\) graded Lax pairs. Zbl 1472.37080
Fu, Wei
6
2020
Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. Zbl 1472.35225
Kostianko, Anna
6
2020
Whitham equations and phase shifts for the Korteweg-de Vries equation. Zbl 1472.35330
Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor
6
2020
Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. Zbl 1472.34062
Makarenkov, Oleg
6
2020
On explicit Wiener-Hopf factorization of \(2 \times 2\) matrices in a vicinity of a given matrix. Zbl 1472.15020
Ephremidze, L.; Spitkovsky, I.
6
2020
Vaccinating behaviour guided by imitation and aspiration. Zbl 1472.91011
Arefin, Md. Rajib; Masaki, Tanaka; Tanimoto, Jun
6
2020
High endemic levels of typhoid fever in rural areas of Ghana may stem from optimal voluntary vaccination behaviour. Zbl 1472.92192
Acosta-Alonzo, Carmen B.; Erovenko, Igor V.; Lancaster, Aaleah; Oh, Hyunju; Rychtář, Jan; Taylor, Dewey
6
2020
Model reduction by mean-field homogenization in viscoelastic composites. I: Primal theory. Zbl 1472.74181
Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre
6
2020
Violations of the Clausius-Duhem inequality in Couette flows of granular media. Zbl 1472.74047
Ostoja-Starzewski, Martin; Laudani, Rossella
6
2020
Coriolis effect on thermal convection in a rotating bidispersive porous layer. Zbl 1472.76090
Capone, F.; De Luca, R.; Gentile, M.
5
2020
Passage through exceptional point: case study. Zbl 1472.81096
Znojil, Miloslav
5
2020
Wave scattering on lattice structures involving an array of cracks. Zbl 1472.74120
Maurya, Gaurav; Sharma, Basant Lal
5
2020
Stochastic modelling in fluid dynamics: Itô versus Stratonovich. Zbl 1472.76045
Holm, Darryl D.
5
2020
Exact conditions for preservation of the partial indices of a perturbed triangular \(2 \times 2\) matrix function. Zbl 1472.15019
Adukov, Victor M.; Mishuris, Gennady; Rogosin, Sergei V.
5
2020
On the consistency of a class of R-symmetry gauged 6D \(N = (1,0)\) supergravities. Zbl 1472.83110
Pang, Yi; Sezgin, Ergin
5
2020
A transformation between stationary point vortex equilibria. Zbl 1473.76013
Krishnamurthy, Vikas S.; Wheeler, Miles H.; Crowdy, Darren G.; Constantin, Adrian
5
2020
Magnetic winding: what is it and what is it good for? Zbl 1472.78010
Prior, Christopher; Mactaggart, David
5
2020
Green’s functions for unsymmetric composite laminates with inclusions. Zbl 1472.74048
Hsu, Chia-Wen; Hwu, Chyanbin
5
2020
Speed oscillations in classical pilot-wave dynamics. Zbl 1472.37044
Durey, Matthew; Turton, Sam E.; Bush, John W. M.
5
2020
Learning on dynamic statistical manifolds. Zbl 1472.62011
Boso, F.; Tartakovsky, D. M.
5
2020
The convective instability of a Maxwell-Cattaneo fluid in the presence of a vertical magnetic field. Zbl 1472.76125
Eltayeb, I. A.; Hughes, D. W.; Proctor, M. R. E.
5
2020
Model reduction by mean-field homogenization in viscoelastic composites. II: Application to rigidly reinforced solids. Zbl 1472.74182
Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre
5
2020
On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections. Zbl 1472.76130
Rogers, C.; Ruggeri, T.; Schief, W. K.
5
2020
Extreme dissipation and intermittency in turbulence at very high Reynolds numbers. Zbl 1472.76048
Elsinga, Gerrit E.; Ishihara, Takashi; Hunt, Julian C. R.
5
2020
A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras. Zbl 1472.81009
Niestegge, Gerd
4
2020
Second-order PDEs in four dimensions with half-flat conformal structure. Zbl 1472.35160
Berjawi, S.; Ferapontov, E. V.; Kruglikov, B.; Novikov, V.
4
2020
The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution. Zbl 1472.60023
Feng, Minyu; Deng, Liang-Jian; Chen, Feng; Perc, Matjaž; Kurths, Jürgen
4
2020
Collective vibrations of a hydrodynamic active lattice. Zbl 1472.76069
Thomson, S. J.; Durey, M.; Rosales, R. R.
4
2020
Static elastic cloaking, low-frequency elastic wave transparency and neutral inclusions. Zbl 1472.74121
Norris, Andrew N.; Parnell, William J.
4
2020
Exact solutions of the harmonic oscillator plus non-polynomial interaction. Zbl 1472.81072
Dong, Qian; Hernández, H. Iván García; Sun, Guo-Hua; Toutounji, Mohamad; Dong, Shi-Hai
4
2020
A Mathieu function boundary spectral method for scattering by multiple variable poro-elastic plates, with applications to metamaterials and acoustics. Zbl 1472.74117
Colbrook, Matthew J.; Kisil, Anastasia V.
4
2020
Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization. Zbl 1472.35219
Bramburger, Jason J.; Goluskin, David
4
2020
On the Wiener-Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate. Zbl 1472.76019
Smith, M. J. A.; Peter, M. A.; Abrahams, I. D.; Meylan, M. H.
4
2020
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits. Zbl 1472.78017
Brandão, Rodolfo; Holley, Jacob R.; Schnitzer, Ory
4
2020
Stability and memory-loss go hand-in-hand: three results in dynamics and computation. Zbl 1472.37088
Manjunath, G.
4
2020
Network comparison and the within-ensemble graph distance. Zbl 1472.05138
Hartle, Harrison; Klein, Brennan; McCabe, Stefan; Daniels, Alexander; St-Onge, Guillaume; Murphy, Charles; Hébert-Dufresne, Laurent
4
2020
Post-buckling analysis of functionally graded multilayer graphene platelet reinforced composite cylindrical shells under axial compression. Zbl 1472.74147
Sun, Jiabin; Zhu, Shengbo; Tong, Zhenzhen; Zhou, Zhenhuan; Xu, Xinsheng
4
2020
Oscillatory dynamics in the dilemma of social distancing. Zbl 1472.92213
Glaubitz, Alina; Fu, Feng
4
2020
Small deformation theory for two leaky dielectric drops in a uniform electric field. Zbl 1472.78016
Zabarankin, Michael
3
2020
Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube. Zbl 1472.78013
Dorfmann, Luis; Ogden, Ray W.
3
2020
Linear and nonlinear thermosolutal instabilities in an inclined porous layer. Zbl 1472.76095
Kumar, Gautam; Narayana, Puranam Anantha Lakshmi; Sahu, Kirti Chandra
3
2020
Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem. Zbl 1472.81032
Palmer, T. N.
3
2020
Explanation of the onset of bouncing cycles in isotropic rotor dynamics; a grazing bifurcation analysis. Zbl 1472.70045
Mora, Karin; Champneys, Alan R.; Shaw, Alexander D.; Friswell, Michael I.
3
2020
Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario. Zbl 1472.81040
Jafarzadeh, M.; Jahromi, H. Rangani; Amniat-Talab, M.
3
2020
How to smooth a crinkled map of space-time: Uhlenbeck compactness for \(L^\infty\) connections and optimal regularity for general relativistic shock waves by the Reintjes-Temple equations. Zbl 1472.35377
Reintjes, Moritz; Temple, Blake
3
2020
...and 837 more Documents
all top 5

Cited by 8,700 Authors

52 Tian, Shoufu
38 Ammari, Habib
28 Neff, Patrizio
27 Holm, Darryl Dallas
26 Barchiesi, Emilio
25 Zhang, Tiantian
24 Geng, Xianguo
24 Wang, Xiubin
23 Karniadakis, George Em
22 He, Jingsong
21 Liu, Hongyu
21 Simpson, Matthew J.
20 Placidi, Luca
19 Brunton, Steven L.
17 Hoefer, Mark A.
17 Ma, Wen-Xiu
17 Turco, Emilio
16 Goriely, Alain
16 Kaplunov, Julius D.
15 dell’Isola, Francesco
15 Giorgio, Ivan
15 Madeo, Angela
15 Rychtár, Jan
15 Tronci, Cesare
15 Yang, Jinjie
15 Yavari, Arash
14 Hiltunen, Erik Orvehed
14 Kutz, J. Nathan
14 Mihalache, Dumitru
14 Saccomandi, Giuseppe
14 Tian, Bo
13 Di Fratta, Giovanni
13 Haller, George
13 Movchan, Alexander B.
13 Singh, Mehakpreet
13 Straughan, Brian
12 Grammaticos, Basil
12 Peng, Weiqi
12 Yan, Zhenya
11 Aouadi, Moncef
11 Babaee, Hessam
11 Cao, Jinde
11 Carta, Giorgio
11 Chen, Yong
11 d’Agostino, Marco Valerio
11 Davies, Bryn
11 de León Rodríguez, Manuel
11 Deng, Youjun
11 El-Nabulsi, Rami Ahmad
11 Gay-Balmaz, François
11 Jentzen, Arnulf
11 McCue, Scott William
11 Meylan, Michael H.
11 Mihai, L. Angela
11 Muratov, Cyrill B.
11 Neves, Mario jun.
11 Pelinovsky, Dmitry Efimovich
11 Penta, Raimondo
11 Ramani, Alfred
11 Ratliff, Daniel J.
11 Sapsis, Themistoklis P.
11 Wang, Lei
11 Xue, Bo
10 Bagarello, Fabio
10 Cheng, Yi
10 Dyachenko, Sergey A.
10 El, Gennady A.
10 Ghiba, Ionel-Dumitrel
10 Li, Zhiqiang
10 Lustri, Christopher J.
10 Nicholls, David P.
10 Rao, Jiguang
10 Rüland, Angkana
10 Slastikov, Valeriy V.
10 Taylor, Dewey T.
10 Willox, Ralph
10 Xiu, Dongbin
10 Yu, SangHyeon
10 Zanella, Mattia
10 Zhang, Guoqiang
10 Zhang, Zhiyong
9 Abali, Bilen Emek
9 Fečkan, Michal
9 Forrester, Peter J.
9 Hutzenthaler, Martin
9 Krause, Andrew L.
9 Li, Hongjie
9 Lin, Guang
9 Lui, Lok Ming
9 Martin, Calin-Iulian
9 Nobili, Andrea
9 Ostoja-Starzewski, Martin
9 Ruzhansky, Michael V.
9 Sahoo, Trilochan
9 Smith, Frank T.
9 Tanimoto, Jun
9 Tempesta, Piergiulio
9 Voigt, Axel
9 Wang, Jinrong
9 Zhang, Haiqiang
...and 8,600 more Authors
all top 5

Cited in 492 Journals

319 Journal of Fluid Mechanics
264 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
177 Journal of Computational Physics
162 Computer Methods in Applied Mechanics and Engineering
133 Physica D
129 Journal of Physics A: Mathematical and Theoretical
121 Journal of High Energy Physics
95 Mathematics and Mechanics of Solids
95 Chaos
79 Wave Motion
76 International Journal of Engineering Science
76 ZAMP. Zeitschrift für angewandte Mathematik und Physik
74 Journal of Nonlinear Science
71 Journal of Elasticity
69 European Journal of Mechanics. A. Solids
66 Journal of Mathematical Physics
65 Acta Mechanica
65 Studies in Applied Mathematics
64 Nonlinear Dynamics
63 Communications in Nonlinear Science and Numerical Simulation
58 Applied Mathematical Modelling
58 SIAM Journal on Applied Mathematics
56 Nonlinearity
53 Applied Mathematics and Computation
47 International Journal for Numerical Methods in Engineering
43 Physics Letters. A
43 Quantum Information Processing
42 Chaos, Solitons and Fractals
42 SIAM Journal on Scientific Computing
42 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
41 Journal of Theoretical Biology
39 SIAM Journal on Applied Dynamical Systems
36 Journal of Differential Equations
35 Meccanica
34 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
33 Mathematical Methods in the Applied Sciences
33 Computational Mechanics
33 Applied Mathematics Letters
30 European Journal of Mechanics. B. Fluids
30 Multiscale Modeling & Simulation
29 Journal of Mathematical Analysis and Applications
28 Journal of Engineering Mathematics
28 Bulletin of Mathematical Biology
27 Journal of Mathematical Biology
27 Journal of the Mechanics and Physics of Solids
27 SIAM Journal on Mathematical Analysis
27 Continuum Mechanics and Thermodynamics
25 Communications in Mathematical Physics
24 Foundations of Physics
23 Computers & Mathematics with Applications
23 Journal of Scientific Computing
22 Physica A
19 Archive for Rational Mechanics and Analysis
19 Geophysical and Astrophysical Fluid Dynamics
18 Classical and Quantum Gravity
18 Journal of Statistical Physics
18 Journal of Computational and Applied Mathematics
18 Monatshefte für Mathematik
18 Computational and Applied Mathematics
16 Discrete and Continuous Dynamical Systems. Series B
15 International Journal of Theoretical Physics
15 Theoretical and Mathematical Physics
15 Journal of Geometry and Physics
15 European Journal of Applied Mathematics
15 Journal of Statistical Mechanics: Theory and Experiment
15 Waves in Random and Complex Media
15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
15 SIAM Journal on Imaging Sciences
15 Communications in Theoretical Physics
14 Mathematics and Computers in Simulation
14 Engineering Analysis with Boundary Elements
14 Nonlinear Analysis. Real World Applications
13 New Journal of Physics
13 Annales Henri Poincaré
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 AMM. Applied Mathematics and Mechanics. (English Edition)
12 Computers and Fluids
12 Letters in Mathematical Physics
12 Physics Reports
12 Neural Networks
12 Annals of Physics
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Journal of Mathematical Fluid Mechanics
12 Journal of Nonlinear Mathematical Physics
12 Mathematical Biosciences and Engineering
12 Chinese Journal of Physics (Taipei)
11 Computer Physics Communications
11 Mathematical Biosciences
11 Automatica
11 Qualitative Theory of Dynamical Systems
11 Communications in Computational Physics
11 Mathematics and Mechanics of Complex Systems
11 SIAM/ASA Journal on Uncertainty Quantification
10 Applicable Analysis
10 International Journal of Approximate Reasoning
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Oberwolfach Reports
9 Inverse Problems
9 Journal of the Franklin Institute
9 Physics Letters. B
...and 392 more Journals
all top 5

Cited in 61 Fields

1,404 Partial differential equations (35-XX)
1,196 Mechanics of deformable solids (74-XX)
1,135 Fluid mechanics (76-XX)
680 Numerical analysis (65-XX)
611 Dynamical systems and ergodic theory (37-XX)
498 Quantum theory (81-XX)
409 Biology and other natural sciences (92-XX)
367 Computer science (68-XX)
274 Statistical mechanics, structure of matter (82-XX)
272 Ordinary differential equations (34-XX)
261 Probability theory and stochastic processes (60-XX)
230 Mechanics of particles and systems (70-XX)
217 Statistics (62-XX)
205 Optics, electromagnetic theory (78-XX)
194 Geophysics (86-XX)
182 Relativity and gravitational theory (83-XX)
140 Systems theory; control (93-XX)
137 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
114 Operator theory (47-XX)
114 Differential geometry (53-XX)
105 Calculus of variations and optimal control; optimization (49-XX)
94 Classical thermodynamics, heat transfer (80-XX)
88 Information and communication theory, circuits (94-XX)
87 Real functions (26-XX)
84 Difference and functional equations (39-XX)
72 Linear and multilinear algebra; matrix theory (15-XX)
62 Integral equations (45-XX)
61 Functions of a complex variable (30-XX)
58 Combinatorics (05-XX)
58 Special functions (33-XX)
56 Functional analysis (46-XX)
56 Operations research, mathematical programming (90-XX)
54 Approximations and expansions (41-XX)
50 Algebraic geometry (14-XX)
49 Global analysis, analysis on manifolds (58-XX)
43 Convex and discrete geometry (52-XX)
32 Topological groups, Lie groups (22-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
30 Number theory (11-XX)
28 General and overarching topics; collections (00-XX)
24 Nonassociative rings and algebras (17-XX)
21 Manifolds and cell complexes (57-XX)
18 Potential theory (31-XX)
18 Astronomy and astrophysics (85-XX)
17 Associative rings and algebras (16-XX)
16 Measure and integration (28-XX)
15 Group theory and generalizations (20-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Integral transforms, operational calculus (44-XX)
14 History and biography (01-XX)
13 General topology (54-XX)
11 Mathematical logic and foundations (03-XX)
11 Geometry (51-XX)
11 Algebraic topology (55-XX)
9 Abstract harmonic analysis (43-XX)
6 Category theory; homological algebra (18-XX)
5 Commutative algebra (13-XX)
3 Sequences, series, summability (40-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)

Citations by Year