SIAM Journal on Numerical Analysis

Short Title:	SIAM J. Numer. Anal.
Publisher:	Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISSN:	0036-1429; 1095-7170/e
Online:	http://epubs.siam.org/loi/sjnaam
Predecessor:	Journal of the Society for Industrial and Applied Mathematics. Series B, Numerical Analysis
Comments:	Journal; Indexed cover-to-cover

Documents Indexed:	6,059 Publications (since 1966)
References Indexed:	1,219 Publications with 43,736 References.

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Latest Issues

62, No. 5 (2024)
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...and 151 more Volumes

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Authors

41	Carstensen, Carsten
37	Manteuffel, Thomas A.
37	Wheeler, Mary Fanett
36	Babuška, Ivo
35	Du, Qiang
31	Cockburn, Bernardo
31	Nochetto, Ricardo Horacio
31	Shu, Chi-Wang
30	Shen, Jie
29	Cai, Zhiqiang
29	McCormick, Steve Fahrney
26	Sloan, Ian Hugh
26	Sun, Weiwei
25	Li, Buyang
25	Schwab, Christoph
24	Gunzburger, Max D.
24	Süli, Endre E.
23	Ainsworth, Mark
22	Ewing, Richard Edward
21	Burman, Erik
20	Bartels, Sören
20	Guermond, Jean-Luc
20	Rheinboldt, Werner C.
20	Widlund, Olof B.
19	Osher, Stanley Joel
19	Starke, Gerhard
19	Tadmor, Eitan
18	Wohlmuth, Barbara I.
18	Zhang, Zhimin
17	Bank, Randolph E.
17	Ern, Alexandre
17	Feng, Xiaobing
17	Gopalakrishnan, Jay
17	Kelley, Carl T.
17	Layton, William J.
17	Lubich, Christian
17	Parter, Seymour V.
17	Russell, Robert D.
17	Schumaker, Larry L.
17	Wang, Junping
16	Beirão da Veiga, Lourenço
16	Durán, Ricardo G.
16	Fairweather, Graeme
16	Lazarov, Raytcho D.
16	Maday, Yvon
16	Quarteroni, Alfio M.
16	Walkington, Noel J.
15	Arbogast, Todd
15	Bernardi, Christine
15	Dahmen, Wolfgang A.
15	Prohl, Andreas
15	Tang, Tao
15	Thomée, Vidar
14	Atkinson, Kendall Eugene
14	Bao, Weizhu
14	Barrett, John William
14	Brunner, Hermann
14	Dawson, Clint N.
14	Demkowicz, Leszek
14	Gottlieb, David I.
14	Kreiss, Heinz-Otto
14	Lin, Yanping
14	Liu, Steve Wenbin
14	Makridakis, Charalambos G.
14	Reusken, Arnold
14	Stroud, Arthur H.
14	Wang, Hong
14	Wu, Haijun
14	Xu, Jinchao
14	Yotov, Ivan
13	Bialecki, Bernard
13	Burrage, Kevin
13	Conn, Andrew Roger
13	Demlow, Alan
13	Dupont, Todd F.
13	Gander, Martin Jakob
13	George, Alan
13	Graham, Ivan G.
13	Heuer, Norbert
13	Johnson, Claes G. L.
13	Nicolaides, Roy A.
13	Ostermann, Alexander
13	Schötzau, Dominik
13	Stuart, Andrew M.
13	Trefethen, Lloyd Nicholas
12	Ascher, Uri M.
12	Bochev, Pavel B.
12	Brenner, Susanne Cecelia
12	Chan, Tony Fan-Cheong
12	Falk, Richard S.
12	Jin, Shi
12	Joly, Patrick
12	Luskin, Mitchell
12	Ma, Heping
12	Novo, Julia
12	Pareschi, Lorenzo
12	Petzold, Linda Ruth
12	Sauter, Stefan
12	Xu, Xuejun
11	Bramble, James H.
...and 5,354 more Authors

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Fields

5,464	Numerical analysis (65-XX)
2,415	Partial differential equations (35-XX)
785	Fluid mechanics (76-XX)
472	Approximations and expansions (41-XX)
450	Ordinary differential equations (34-XX)
271	Mechanics of deformable solids (74-XX)
265	Calculus of variations and optimal control; optimization (49-XX)
252	Integral equations (45-XX)
221	Probability theory and stochastic processes (60-XX)
181	Optics, electromagnetic theory (78-XX)
178	Operations research, mathematical programming (90-XX)
163	Operator theory (47-XX)
149	Statistical mechanics, structure of matter (82-XX)
135	Linear and multilinear algebra; matrix theory (15-XX)
111	Dynamical systems and ergodic theory (37-XX)
100	Computer science (68-XX)
78	Harmonic analysis on Euclidean spaces (42-XX)
68	Functional analysis (46-XX)
64	Biology and other natural sciences (92-XX)
59	Systems theory; control (93-XX)
57	Functions of a complex variable (30-XX)
54	Real functions (26-XX)
53	Special functions (33-XX)
53	Statistics (62-XX)
45	Potential theory (31-XX)
44	Quantum theory (81-XX)
43	Global analysis, analysis on manifolds (58-XX)
43	Geophysics (86-XX)
43	Information and communication theory, circuits (94-XX)
40	Classical thermodynamics, heat transfer (80-XX)
38	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
34	Mechanics of particles and systems (70-XX)
30	Integral transforms, operational calculus (44-XX)
23	Number theory (11-XX)
23	Differential geometry (53-XX)
16	Difference and functional equations (39-XX)
13	Combinatorics (05-XX)
13	Sequences, series, summability (40-XX)
10	Astronomy and astrophysics (85-XX)
9	Field theory and polynomials (12-XX)
9	Algebraic geometry (14-XX)
5	Commutative algebra (13-XX)
5	Convex and discrete geometry (52-XX)
5	Relativity and gravitational theory (83-XX)
4	Algebraic topology (55-XX)
3	Group theory and generalizations (20-XX)
3	Topological groups, Lie groups (22-XX)
3	Measure and integration (28-XX)
3	Manifolds and cell complexes (57-XX)
2	History and biography (01-XX)
2	Geometry (51-XX)
2	Mathematics education (97-XX)
1	General and overarching topics; collections (00-XX)
1	Order, lattices, ordered algebraic structures (06-XX)
1	Associative rings and algebras (16-XX)
1	Several complex variables and analytic spaces (32-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

5,712 Publications have been cited 163,858 times in 78,467 Documents	Cited by ▼	Year ▼
Unified analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1008.65080 Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. Donatella	1,494	2002
The local discontinuous Galerkin method for time-dependent convection-diffusion systems. Zbl 0927.65118 Cockburn, Bernardo; Shu, Chi-Wang	1,151	1998
On the construction and comparison of difference schemes. Zbl 0184.38503 Strang, Gilbert	1,018	1968
Splitting algorithms for the sum of two nonlinear operators. Zbl 0426.65050 Lions, Pierre-Louis; Mercier, B.	864	1979
An interior penalty finite element method with discontinuous elements. Zbl 0482.65060 Arnold, Douglas N.	768	1982
High resolution schemes using flux limiters for hyperbolic conservation laws. Zbl 0565.65048 Sweby, P. K.	722	1984
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083 LeVeque, Randall J.; Li, Zhilin	714	1994
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090 Dörfler, Willy	652	1996
Unified hybridization of discontinuous Galerkin, mixed, and continuous Galerkin methods for second order elliptic problems. Zbl 1205.65312 Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Lazarov, Raytcho	650	2009
Inexact Newton methods. Zbl 0478.65030 Dembo, Ron S.; Eisenstat, Stanley C.; Steihaug, Trond	568	1982
A nonmonotone line search technique for Newton’s method. Zbl 0616.65067 Grippo, L.; Lampariello, F.; Lucidi, S.	560	1986
Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation. Zbl 1362.65089 Stynes, Martin; O’Riordan, Eugene; Gracia, José Luis	544	2017
Solution of sparse indefinite systems of linear equations. Zbl 0319.65025 Paige, C. C.; Saunders, M. A.	540	1975
Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014 Heywood, John G.; Rannacher, Rolf	528	1990
Error estimates for adaptive finite element computations. Zbl 0398.65069 Babuška, Ivo; Rheinboldt, W. C.	527	1978
Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035 Heywood, John G.; Rannacher, Rolf	486	1982
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. Zbl 0492.65051 Douglas, Jim jun.; Russell, Thomas F.	471	1982
Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081 Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R.	471	1995
Two-grid discretization techniques for linear and nonlinear PDEs. Zbl 0860.65119 Xu, Jinchao	460	1996
A stochastic collocation method for elliptic partial differential equations with random input data. Zbl 1151.65008 Babuška, Ivo; Nobile, Fabio; Tempone, Raúl	453	2007
A space-time spectral method for the time fractional diffusion equation. Zbl 1193.35243 Li, Xianjuan; Xu, Chuanju	453	2009
Galerkin finite element approximations of stochastic elliptic partial differential equations. Zbl 1080.65003 Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.	411	2004
A sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65137 Nobile, F.; Tempone, R.; Webster, C. G.	396	2008
An elliptic collocation-finite element method with interior penalties. Zbl 0384.65058 Wheeler, Mary Fanett	391	1978
Strong convergence of Euler-type methods for nonlinear stochastic differential equations. Zbl 1026.65003 Higham, Desmond J.; Mao, Xuerong; Stuart, Andrew M.	365	2002
Uniformly high-order accurate nonoscillatory schemes. I. Zbl 0627.65102 Harten, Ami; Osher, Stanley	361	1987
The rotation of eigenvectors by a perturbation. III. Zbl 0198.47201 Davis, Chandler; Kahan, W. M.	351	1970
Numerical methods for the variable-order fractional advection-diffusion equation with a nonlinear source term. Zbl 1204.26013 Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.	341	2009
An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. Zbl 1119.65379 Yuste, S. B.; Acedo, L.	334	2005
Finite element method for the space and time fractional Fokker-Planck equation. Zbl 1416.65344 Deng, Weihua	334	2009
Coupling fluid flow with porous media flow. Zbl 1037.76014 Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan	332	2003
Virtual elements for linear elasticity problems. Zbl 1268.74010 Beirao da Veiga, L.; Brezzi, F.; Marini, L. D.	325	2013
High-resolution conservative algorithms for advection in incompressible flow. Zbl 0852.76057 LeVeque, Randall J.	325	1996
On the \(O(1/n)\) convergence rate of the Douglas-Rachford alternating direction method. Zbl 1245.90084 He, Bingsheng; Yuan, Xiaoming	318	2012
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. Zbl 0876.65064 Greenberg, James M.; Le Roux, Alain-Yves	313	1996
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050 Robinson, Stephen M.	301	1976
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. Zbl 0736.65066 Osher, Stanley; Shu, Chi-Wang	297	1991
A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064 Spiteri, Raymond J.; Ruuth, Steven J.	297	2002
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027 Wise, S. M.; Wang, Cheng; Lowengrub, J. S.	296	2009
Variational iterative methods for nonsymmetric systems of linear equations. Zbl 0524.65019 Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H.	295	1983
On Krylov subspace approximations to the matrix exponential operator. Zbl 0888.65032 Hochbruck, Marlis; Lubich, Christian	294	1997
A priori \(L_2\) error estimates for Galerkin approximations to parabolic partial differential equations. Zbl 0232.35060 Wheeler, Mary Fanett	293	1972
Poincaré–Friedrichs inequalities for piecewise \(H^{1}\) functions. Zbl 1045.65100 Brenner, Susanne C.	283	2003
Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations. Zbl 1447.65026 Liao, Hong-lin; Li, Dongfang; Zhang, Jiwei	278	2018
Second-order convex splitting schemes for gradient flows with Ehrlich-Schwoebel type energy: Application to thin film epitaxy. Zbl 1247.65088 Shen, Jie; Wang, Cheng; Wang, Xiaoming; Wise, Steven M.	276	2012
On Godunov-type methods for gas dynamics. Zbl 0642.76088 Einfeldt, Bernd	275	1988
An algorithm for generalized matrix eigenvalue problems. Zbl 0253.65019 Moler, C. B.; Stewart, G. W.	273	1973
Diagonally implicit Runge-Kutta methods for stiff O.D.E.’s. Zbl 0374.65038 Alexander, Roger	273	1977
Quasi-optimal convergence rate for an adaptive finite element method. Zbl 1176.65122 Cascon, J. Manuel; Kreuzer, Christian; Nochetto, Ricardo H.; Siebert, Kunibert G.	272	2008
Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. Zbl 1075.65118 Kunisch, K.; Volkwein, S.	271	2002
Inexact and preconditioned Uzawa algorithms for saddle point problems. Zbl 0815.65041 Elman, Howard C.; Golub, Gene H.	270	1994
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015 Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.	266	2006
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. Zbl 0987.65111 Castillo, Paul; Cockburn, Bernardo; Perugia, Ilaria; Schötzau, Dominik	265	2000
Image selective smoothing and edge detection by nonlinear diffusion. Zbl 0746.65091 Catté, Francine; Lions, Pierre-Louis; Morel, Jean-Michel; Coll, Tomeu	264	1992
Error estimate procedure in the finite element method and applications. Zbl 0582.65078 Ladeveze, P.; Leguillon, D.	263	1983
Nested dissection of a regular finite element mesh. Zbl 0259.65087 George, Alan	254	1973
Some error estimates for the box method. Zbl 0634.65105 Bank, Randolph E.; Rose, Donald J.	249	1987
Discontinuous \(hp\)-finite element methods for advection-diffusion-reaction problems. Zbl 1015.65067 Houston, Paul; Schwab, Christoph; Süli, Endre	248	2002
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349 Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.	245	2014
On direct methods for solving Poisson’s equations. Zbl 0217.52902 Buzbee, B. L.; Golub, G. H.; Nielson, C. W.	245	1970
New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation. Zbl 1173.26006 Zhuang, P.; Liu, Fawang; Anh, V.; Turner, I.	243	2008
Numerical methods for nonconservative hyperbolic systems: A theoretical framework. Zbl 1130.65089 Parés, Carlos	242	2006
Special finite element methods for a class of second order elliptic problems with rough coefficients. Zbl 0807.65114 Babuška, Ivo; Caloz, Gabriel; Osborn, John E.	242	1994
Analysis of the inexact Uzawa algorithm for saddle point problems. Zbl 0873.65031 Bramble, James H.; Pasciak, Joseph E.; Vassilev, Apostol T.	236	1997
A mortar finite element method using dual spaces for the Lagrange multiplier. Zbl 0974.65105 Wohlmuth, Barbara I.	232	2000
Adaptive finite element methods for parabolic problems. I: A linear model problem. Zbl 0732.65093 Eriksson, Kenneth; Johnson, Claes	232	1991
Analysis of some Krylov subspace approximations to the matrix exponential operator. Zbl 0749.65030 Saad, Y.	231	1992
Stability analysis of large time-stepping methods for epitaxial growth models. Zbl 1127.65069 Xu, Chuanju; Tang, Tao	228	2006
Explicit exponential Runge-Kutta methods for semilinear parabolic problems. Zbl 1093.65052 Hochbruck, Marlis; Ostermann, Alexander	227	2005
Monotone piecewise cubic interpolation. Zbl 0423.65011 Fritsch, F. N.; Carlson, R. E.	227	1980
Data oscillation and convergence of adaptive FEM. Zbl 0970.65113 Morin, Pedro; Nochetto, Ricardo H.; Siebert, Kunibert G.	224	2000
A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems. Zbl 1058.65120 Karakashian, Ohannes A.; Pascal, Frederic	223	2003
Collocation at Gaussian points. Zbl 0232.65065 de Boor, Carl; Swartz, Blair	221	1973
The conjugate gradient method and trust regions in large scale optimization. Zbl 0518.65042 Steihaug, Trond	220	1983
An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. Zbl 1176.65007 Nobile, F.; Tempone, R.; Webster, C. G.	218	2008
Iterative solution of implicit approximations of multidimensional partial differential equations. Zbl 0197.13304 Stone, H. L.	215	1968
A local discontinuous Galerkin method for KdV type equations. Zbl 1021.65050 Yan, Jue; Shu, Chi-Wang	215	2002
The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate. Zbl 0258.65045 Golub, G. H.; Pereyra, V.	212	1973
An analysis of the total least squares problem. Zbl 0468.65011 Golub, Gene H.; Van Loan, Charles F.	210	1980
A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. Zbl 1010.65045 Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette	210	2001
An energy stable and convergent finite-difference scheme for the modified phase field crystal equation. Zbl 1230.82005 Wang, C.; Wise, S. M.	209	2011
Stability analysis of numerical schemes for stochastic differential equations. Zbl 0869.60052 Saito, Yoshihiro; Mitsui, Taketomo	207	1996
Mean-square and asymptotic stability of the stochastic theta method. Zbl 0982.60051 Higham, Desmond J.	206	2000
Error estimates for a semidiscrete finite element method for fractional order parabolic equations. Zbl 1268.65126 Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi	204	2013
Optimized Schwarz methods. Zbl 1117.65165 Gander, Martin J.	204	2006
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. Zbl 0880.65084 Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan	204	1997
A discrete Grönwall inequality with applications to numerical schemes for subdiffusion problems. Zbl 1414.65008 Liao, Hong-lin; McLean, William; Zhang, Jiwei	204	2019
On the accuracy of the finite volume element method based on piecewise linear polynomials. Zbl 1036.65084 Ewing, Richard E.; Lin, Tao; Lin, Yanping	203	2002
On the angle condition in the finite element method. Zbl 0324.65046 Babuška, Ivo; Aziz, A. K.	201	1976
Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem. Zbl 0955.65081 Cessenat, Olivier; Despres, Bruno	200	1998
Explicit Runge-Kutta (-Nyström) methods with reduced phase errors for computing oscillating solutions. Zbl 0624.65058 Van der Houwen, P. J.; Sommeijer, B. P.	200	1987
Convergence and error analysis for the scalar auxiliary variable (SAV) schemes to gradient flows. Zbl 1403.65047 Shen, Jie; Xu, Jie	198	2018
Two-level method based on finite element and Crank-Nicolson extrapolation for the time-dependent Navier-Stokes equations. Zbl 1130.76365 He, Yinnian	195	2003
A family of fourth-order methods for nonlinear equations. Zbl 0266.65040 King, Richard F.	195	1973
A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow. Zbl 1146.76031 Mu, Mo; Xu, Jinchao	195	2007
Finite element solution of the Helmholtz equation with high wave number. II: The \(h-p\) version of the FEM. Zbl 0884.65104 Ihlenburg, Frank; Babuška, Ivo	195	1997
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds. Zbl 0724.65067 Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L.	193	1991
Fundamental solutions method for elliptic boundary value problems. Zbl 0579.65121 Bogomolny, Alexander	192	1985
Comparing numerical methods for ordinary differential equations. Zbl 0221.65115 Hull, T. E.; Enright, W. H.; Fellen, B. M.; Sedgwick, A. E.	190	1972
A stream virtual element formulation of the Stokes problem on polygonal meshes. Zbl 1427.76198 Antonietti, P. F.; Beirão da Veiga, L.; Mora, D.; Verani, M.	189	2014
Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. Zbl 1531.35290 Bao, Weizhu; Wang, Chushan	5	2024
wPINNs: weak physics informed neural networks for approximating entropy solutions of hyperbolic conservation laws. Zbl 1535.65249 De Ryck, Tim; Mishra, Siddhartha; Molinaro, Roberto	3	2024
On uncertainty quantification of eigenvalues and eigenspaces with higher multiplicity. Zbl 07805447 Dölz, Jürgen; Ebert, David	3	2024
Asymptotic-preserving and energy stable dynamical low-rank approximation. Zbl 07794523 Einkemmer, Lukas; Hu, Jingwei; Kusch, Jonas	2	2024
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. Zbl 1535.65270 Chen, Ziang; Lu, Jianfeng; Lu, Yulong; Zhang, Xiangxiong	2	2024
Numerical methods and analysis of computing quasiperiodic systems. Zbl 1534.65273 Jiang, Kai; Li, Shifeng; Zhang, Pingwen	2	2024
Uniform substructuring preconditioners for high order FEM on triangles and the influence of nodal basis functions. Zbl 07882246 Ainsworth, Mark; Jiang, Shuai	1	2024
An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. Zbl 07899522 Bao, Weizhu; Wang, Chushan	1	2024
Learning high-dimensional McKean-Vlasov forward-backward stochastic differential equations with general distribution dependence. Zbl 07794520 Han, Jiequn; Hu, Ruimeng; Long, Jihao	1	2024
Error analysis of a first-order IMEX scheme for the logarithmic Schrödinger equation. Zbl 1531.65267 Wang, Li-Lian; Yan, Jingye; Zhang, Xiaolong	1	2024
Accurately recover global quasiperiodic systems by finite points. Zbl 07892759 Jiang, Kai; Zhou, Qi; Zhang, Pingwen	1	2024
High order splitting methods for SDEs satisfying a commutativity condition. Zbl 1532.60152 Foster, James M.; dos Reis, Gonçalo; Strange, Calum	1	2024
A universal median quasi-Monte Carlo integration. Zbl 07813245 Goda, Takashi; Suzuki, Kosuke; Matsumoto, Makoto	1	2024
Total variation error bounds for the accelerated exponential Euler scheme approximation of parabolic semilinear SPDEs. Zbl 07870732 Bréhier, Charles-Edouard	1	2024
Inverse wave-number-dependent source problems for the Helmholtz equation. Zbl 07870734 Guo, Hongxia; Hu, Guanghui	1	2024
A kernel machine learning for inverse source and scattering problems. Zbl 07870737 Meng, Shixu; Zhang, Bo	1	2024
Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. Zbl 07836940 Guth, Philipp A.; Kaarnioja, Vesa	1	2024
A posteriori error control for fourth-order semilinear problems with quadratic nonlinearity. Zbl 1541.65145 Carstensen, Carsten; Gräßle, Benedikt; Nataraj, Neela	1	2024
Singularity swapping method for nearly singular integrals based on trapezoidal rule. Zbl 1537.65178 Bao, Gang; Hua, Wenmao; Lai, Jun; Zhang, Jinrui	1	2024
Robust DPG test spaces and fortin operators – the \(H^1\) and \(\boldsymbol{H}(\operatorname{div})\) cases. Zbl 1535.65278 Führer, Thomas; Heuer, Norbert	1	2024
On optimal cell average decomposition for high-order bound-preserving schemes of hyperbolic conservation laws. Zbl 07821073 Cui, Shumo; Ding, Shengrong; Wu, Kailiang	1	2024
Space-time finite element methods for distributed optimal control of the wave equation. Zbl 1532.49031 Löscher, Richard; Steinbach, Olaf	1	2024
A positive and moment-preserving Fourier spectral method. Zbl 1534.65257 Cai, Zhenning; Lin, Bo; Lin, Meixia	1	2024
A numerical framework for nonlinear peridynamics on two-dimensional manifolds based on implicit P-(EC)\(^k\) schemes. Zbl 1534.74003 Coclite, Alessandro; Coclite, Giuseppe M.; Maddalena, Francesco; Politi, Tiziano	1	2024
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations. Zbl 1517.65128 Wang, Bin; Zhao, Xiaofei	11	2023
Adaptive VEM: stabilization-free a posteriori error analysis and contraction property. Zbl 1512.65258 Beirão da Veiga, L.; Canuto, C.; Nochetto, R. H.; Vacca, G.; Verani, M.	10	2023
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. Zbl 07670867 Busto, Saray; Dumbser, Michael	9	2023
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. Zbl 1527.35452 Liao, Hong-lin; Liu, Nan; Lyu, Pin	9	2023
Rank-adaptive time integration of tree tensor networks. Zbl 1511.65064 Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik	8	2023
Analysis of error localization of Chebyshev spectral approximations. Zbl 1528.41016 Wang, Haiyong	8	2023
Summation-by-parts operators for general function spaces. Zbl 1529.65066 Glaubitz, Jan; Nordström, Jan; Öffner, Philipp	7	2023
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems. Zbl 1517.65085 Chupeng, Ma; Alber, Christian; Scheichl, Robert	6	2023
A symmetrized parametric finite element method for anisotropic surface diffusion of closed curves. Zbl 1512.65205 Bao, Weizhu; Jiang, Wei; Li, Yifei	6	2023
Exponential convergence of deep operator networks for elliptic partial differential equations. Zbl 1519.35088 Marcati, Carlo; Schwab, Christoph	5	2023
The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems. Zbl 1517.65038 Colbrook, Matthew J.	5	2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. I: Convergence analysis. Zbl 1518.76035 Kaltenbach, Alex; RůžIčka, Michael	5	2023
A local discontinuous Galerkin approximation for the \(p\) -Navier-Stokes system. II: Convergence rates for the velocity. Zbl 1518.76036 Kaltenbach, Alex; Růžička, Michael	5	2023
Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 1529.65057 Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze	5	2023
Provably positive central discontinuous Galerkin schemes via geometric quasilinearization for ideal MHD equations. Zbl 1516.65102 Wu, Kailiang; Jiang, Haili; Shu, Chi-Wang	4	2023
Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. Zbl 1521.65118 Carstensen, Carsten; Puttkammer, Sophie	4	2023
Optimization and convergence of numerical attractors for discrete-time quasi-linear lattice system. Zbl 1512.65161 Li, Yangrong; Yang, Shuang; Caraballo, Tomás	4	2023
Convergence of a decoupled splitting scheme for the Cahn-Hilliard-Navier-Stokes system. Zbl 1528.65077 Liu, Chen; Masri, Rami; Riviere, Beatrice	4	2023
\(H^1\)-norm stability and convergence of an L2-type method on nonuniform meshes for subdiffusion equation. Zbl 07744121 Quan, Chaoyu; Wu, Xu	4	2023
A local discontinuous Galerkin approximation for the \(p\)-Navier-Stokes system. III: Convergence rates for the pressure. Zbl 1518.76037 Kaltenbach, Alex; Růžička, Michael	3	2023
Difference finite element method for the 3D steady Navier-Stokes equations. Zbl 1511.76053 Feng, Xinlong; Lu, Xiaoli; He, Yinnian	3	2023
Agglomeration-based geometric multigrid schemes for the virtual element method. Zbl 1512.65290 Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco	3	2023
Error estimation of the relaxation finite difference scheme for the nonlinear Schrödinger equation. Zbl 1529.65022 Zouraris, Georgios E.	3	2023
Analysis of a filtered time-stepping finite element method for natural convection problems. Zbl 1515.65251 Wu, Jilian; Li, Ning; Feng, Xinlong	3	2023
Fluid-fluid interaction problems at high Reynolds numbers: reducing the modeling error with LES-C. Zbl 1520.76042 Aggul, Mustafa; Labovsky, Alexander E.; Onal, Eda; Schwiebert, Kyle J.	3	2023
Dispersion analysis of CIP-FEM for the Helmholtz equation. Zbl 1529.65134 Zhou, Yu; Wu, Haijun	3	2023
Suboptimality of Gauss-Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness. Zbl 1516.65018 Kazashi, Yoshihito; Suzuki, Yuya; Goda, Takashi	3	2023
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. Zbl 1531.65237 Gómez-Vargas, Bryan; Mardal, Kent-André; Ruiz-Baier, Ricardo; Vinje, Vegard	3	2023
High-order BDF convolution quadrature for subdiffusion models with a singular source term. Zbl 1537.65117 Shi, Jiankang; Chen, Minghua	3	2023
An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. Zbl 1529.65102 Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi	3	2023
A unifying framework for interpolatory \(\mathcal{L}_2\)-optimal reduced-order modeling. Zbl 1523.30048 Mlinarić, Petar; Gugercin, Serkan	3	2023
Erratum to: “Convergence of Dziuk’s semidiscrete finite element method for mean curvature flow of closed surfaces with high-order finite elements”. Zbl 1526.65043 Bai, Genming; Li, Buyang	2	2023
Gauge-transformed exponential integrator for generalized KdV equations with rough data. Zbl 07713540 Li, Bing; Wu, Yifei; Zhao, Xiaofei	2	2023
Stationary density estimation of Itô diffusions using deep learning. Zbl 07670858 Gu, Yiqi; Harlim, John; Liang, Senwei; Yang, Haizhao	2	2023
Convergence analysis of Newton-Schur method for symmetric elliptic eigenvalue problem. Zbl 1519.65051 Shao, Nian; Chen, Wenbin	2	2023
Computational lower bounds of the Maxwell eigenvalues. Zbl 1518.35581 Gallistl, Dietmar; Olkhovskiy, Vladislav	2	2023
Robust superlinear Krylov convergence for complex noncoercive compact-equivalent operator preconditioners. Zbl 1515.65073 Axelsson, Owe; Karátson, János; Magoulès, Frédéric	2	2023
Value-gradient based formulation of optimal control problem and machine learning algorithm. Zbl 1523.49031 Bensoussan, Alain; Han, Jiayue; Yam, Sheung Chi Phillip; Zhou, Xiang	2	2023
Efficient stability-preserving numerical methods for nonlinear coercive problems in vector space. Zbl 1529.65044 Wang, Wansheng; Li, Shoufu	2	2023
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. Zbl 1516.65086 García-Archilla, Bosco; John, Volker; Novo, Julia	2	2023
Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. Zbl 1528.65103 Carstensen, Carsten; Khot, Rekha; Pani, Amiya K.	2	2023
Stability and error analysis of a second-order consistent splitting scheme for the Navier-Stokes equations. Zbl 1529.65100 Huang, Fukeng; Shen, Jie	2	2023
An energy stable and maximum bound principle preserving scheme for the dynamic Ginzburg-Landau equations under the temporal gauge. Zbl 07770182 Ma, Limin; Qiao, Zhonghua	2	2023
A probabilistic scheme for semilinear nonlocal diffusion equations with volume constraints. Zbl 07770183 Yang, Minglei; Zhang, Guannan; Del-Castillo-Negrete, Diego; Cao, Yanzhao	2	2023
Monte Carlo gradient in optimization constrained by radiative transport equation. Zbl 07770184 Li, Qin; Wang, Li; Yang, Yunan	2	2023
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow. Zbl 1522.65174 Jiang, Wei; Su, Chunmei; Zhang, Ganghui	2	2023
Discrete hyperbolic curvature flow in the plane. Zbl 1522.65139 Deckelnick, Klaus; Nürnberg, Robert	2	2023
An improved high-order method for elliptic multiscale problems. Zbl 1529.65121 Dong, Zhaonan; Hauck, Moritz; Maier, Roland	2	2023
Ensemble domain decomposition algorithm for the fully mixed random Stokes-Darcy model with the Beavers-Joseph interface conditions. Zbl 07704358 Shi, Feng; Sun, Yizhong; Zheng, Haibiao	1	2023
On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. Zbl 1519.65043 Bessemoulin-Chatard, Marianne; Filbet, Francis	1	2023
Formulae for mixed moments of Wiener processes and a stochastic area integral. Zbl 1515.60199 Komori, Yoshio; Yang, Guoguo; Burrage, Kevin	1	2023
\(p\)-robust equilibrated flux reconstruction in \(\boldsymbol{H}(\mathrm{curl})\) based on local minimizations: application to a posteriori analysis of the curl-curl problem. Zbl 1535.65275 Chaumont-Frelet, Théophile; Vohralík, Martin	1	2023
Analysis of preintegration followed by quasi-Monte Carlo integration for distribution functions and densities. Zbl 1511.65019 Gilbert, Alexander D.; Kuo, Frances Y.; Sloan, Ian H.	1	2023
On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology. Zbl 1521.65124 de Diego, Gonzalo G.; Farrell, Patrick E.; Hewitt, Ian J.	1	2023
Observable error bounds of the time-splitting scheme for quantum-classical molecular dynamics. Zbl 1518.35565 Fang, Di; Vilanova, Albert Tres	1	2023
Log orthogonal functions in semi-infinite intervals: approximation results and applications. Zbl 1512.65278 Chen, Sheng; Shen, Jie	1	2023
Convergence of regularized particle filters for stochastic reaction networks. Zbl 1511.92028 Fang, Zhou; Gupta, Ankit; Khammash, Mustafa	1	2023
Adaptive finite element approximations for elliptic problems using regularized forcing data. Zbl 1515.65292 Heltai, Luca; Lei, Wenyu	1	2023
Preintegration via active subspace. Zbl 1511.65008 Liu, Sifan; Owen, Art B.	1	2023
Projection methods for neural field equations. Zbl 1520.65082 Avitabile, Daniele	1	2023
Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves. Zbl 1510.65101 Scheel, Arnd	1	2023
Optimal rate of convergence for approximations of SPDEs with nonregular drift. Zbl 1514.60072 Butkovsky, Oleg; Dareiotis, Konstantinos; Gerencsér, Máté	1	2023
On the error rate of importance sampling with randomized quasi-Monte Carlo. Zbl 1511.65007 He, Zhijian; Zheng, Zhan; Wang, Xiaoqun	1	2023
Optimal analysis of non-uniform Galerkin-mixed finite element approximations to the Ginzburg-Landau equations in superconductivity. Zbl 1514.65128 Gao, Huadong; Sun, Weiwei	1	2023
A numerical energy reduction approach for semilinear diffusion-reaction boundary value problems based on steady-state iterations. Zbl 07679127 Amrein, Mario; Heid, Pascal; Wihler, Thomas P.	1	2023
An arbitrary order and pointwise divergence-free finite element scheme for the incompressible 3D Navier-Stokes equations. Zbl 1512.35439 Hanot, Marien-Lorenzo	1	2023
A new optimality property of Strang’s splitting. Zbl 1516.65053 Casas, Fernando; Sanz-Serna, Jesús María; Shaw, Luke	1	2023
A kernel-based least-squares collocation method for surface diffusion. Zbl 1531.65264 Chen, Meng; Cheung, Ka Chun; Ling, Leevan	1	2023
Mixed and multipoint finite element methods for rotation-based poroelasticity. Zbl 1528.65100 Boon, Wietse M.; Fumagalli, Alessio; Scotti, Anna	1	2023
Convergence of a time discrete scheme for a chemotaxis-consumption model. Zbl 07764837 Guillén-González, Francisco; Corrêa Vianna Filho, André Luiz	1	2023
The unique continuation problem for the heat equation discretized with a high-order space-time nonconforming method. Zbl 07764838 Burman, Erik; Delay, Guillaume; Ern, Alexandre	1	2023
Analysis and application of two novel finite element methods for solving Ziolkowski’s PML model in the integro-differential form. Zbl 1540.65381 Li, Jichun; Zhu, Li	1	2023
Resolution of singularities by rational functions. Zbl 1535.65049 Herremans, Astrid; Huybrechs, Daan; Trefethen, Lloyd N.	1	2023
Relaxed Kačanov scheme for the \(p\)-Laplacian with large exponent. Zbl 1529.35259 Balci, Anna Kh.; Diening, Lars; Storn, Johannes	1	2023
Fast Krasnosel’skiĭ-Mann algorithm with a convergence rate of the fixed point iteration of \(o\left(\frac{1}{k}\right)\). Zbl 07770187 Boţ, Radu Ioan; Nguyen, Dang-Khoa	1	2023
Implicit-explicit time discretization for Oseen’s equation at high Reynolds number with application to fractional step methods. Zbl 07778893 Burman, Erik; Garg, Deepika; Guzman, Johnny	1	2023
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