Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. Zbl 1488.65247
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin |
|
2017
|
Heterogeneous multiscale methods: a review. Zbl 1164.65496
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric |
|
2007
|
Phase-field models for multi-component fluid flows. Zbl 1373.76030
Kim, Junseok |
|
2012
|
Existence and uniqueness of the weak solution of the space-time fractional diffusion equation and a spectral method approximation. Zbl 1364.35424
Li, Xianjuan; Xu, Chuanju |
|
2010
|
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang |
|
2010
|
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178
Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim |
|
2008
|
Fast numerical methods for stochastic computations: a review. Zbl 1364.65019
Xiu, Dongbin |
|
2009
|
Extended physics-informed neural networks (XPINNs): a generalized space-time domain decomposition based deep learning framework for nonlinear partial differential equations. Zbl 07419158
Jagtap, Ameya D.; Karniadakis, George Em |
|
2020
|
Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations. Zbl 1373.76121
Chandrashekar, Praveen |
|
2013
|
Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431
Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei |
|
2018
|
Efficient collocational approach for parametric uncertainty analysis. Zbl 1164.65302
Xiu, Dongbin |
|
2007
|
A second-order energy stable BDF numerical scheme for the Cahn-Hilliard equation. Zbl 1488.65367
Yan, Yue; Chen, Wenbin; Wang, Cheng; Wise, Steven M. |
|
2018
|
Numerical methods for fluid-structure interaction – a review. Zbl 1373.76001
Hou, Gene; Wang, Jin; Layton, Anita |
|
2012
|
A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077
Carrillo, José A.; Chertock, Alina; Huang, Yanghong |
|
2015
|
Third order WENO scheme on three dimensional tetrahedral meshes. Zbl 1364.65177
Zhang, Yong-Tao; Shu, Chi-Wang |
|
2009
|
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme. Zbl 1488.65306
Yan, Yonggui; Sun, Zhi-Zhong; Zhang, Jiwei |
|
2017
|
All speed scheme for the low Mach number limit of the isentropic Euler equations. Zbl 1364.76129
Degond, Pierre; Tang, Min |
|
2011
|
A stochastic collocation approach to Bayesian inference in inverse problems. Zbl 1364.62064
Marzouk, Youssef; Xiu, Dongbin |
|
2009
|
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian |
|
2009
|
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F. |
|
2011
|
On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs. Zbl 1473.65349
Shin, Yeonjong; Darbon, Jérôme; Karniadakis, George Em |
|
2020
|
On the reduction of numerical dissipation in central-upwind schemes. Zbl 1164.65455
Kurganov, Alexander; Lin, Chitien |
|
2007
|
A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Zbl 1115.65096
Xing, Yulong; Shu, Chi-Wang |
|
2006
|
The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections. Zbl 1364.65200
Liu, Hailiang; Yan, Jue |
|
2010
|
An energy stable BDF2 Fourier pseudo-spectral numerical scheme for the square phase field crystal equation. Zbl 1518.65115
Cheng, Kelong; Wang, Cheng; Wise, Steven M. |
|
2019
|
Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Zbl 1186.92005
Lu, B. Z.; Zhou, Y. C.; Holst, M. J.; McCammon, J. A. |
|
2008
|
An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations. Zbl 1373.76284
Haack, Jeffrey; Jin, Shi; Liu, Jian-guo |
|
2012
|
Galerkin method for wave equations with uncertain coefficients. Zbl 1195.65009
Gottlieb, David; Xiu, Dongbin |
|
2008
|
An adaptive time-stepping strategy for the Cahn-Hilliard equation. Zbl 1388.65072
Zhang, Zhengru; Qiao, Zhonghua |
|
2012
|
A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137
Loubère, Raphaël; Dumbser, Michael; Diot, Steven |
|
2014
|
Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109
Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria |
|
2011
|
A high-order multidomain spectral difference method for the Navier-Stokes equations on unstructured hexahedral grids. Zbl 1164.76360
Sun, Yuzhi; Wang, Z. J.; Liu, Yen |
|
2007
|
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems. Zbl 1199.65381
Liska, Richard; Shashkov, Mikhail |
|
2008
|
A second-order scheme with nonuniform time steps for a linear reaction-subdiffusion problem. Zbl 1473.65110
Liao, Hong-Lin; McLean, William; Zhang, Jiwei |
|
2021
|
WENO schemes for mixed-element unstructured meshes. Zbl 1364.76121
Titarev, V. A.; Tsoutsanis, P.; Drikakis, D. |
|
2010
|
A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216
Huang, Juan-Chen; Xu, Kun; Yu, Pubing |
|
2012
|
On the order of accuracy and numerical performance of two classes of finite volume WENO schemes. Zbl 1364.65176
Zhang, Rui; Zhang, Mengping; Shu, Chi-Wang |
|
2011
|
An efficient, energy stable scheme for the Cahn-Hilliard-Brinkman system. Zbl 1373.76161
Collins, Craig; Shen, Jie; Wise, Steven M. |
|
2013
|
Generalized multiscale finite element methods. Nonlinear elliptic equations. Zbl 1388.65146
Efendiev, Yalchin; Galvis, Juan; Li, Guanglian; Presho, Michael |
|
2014
|
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael |
|
2013
|
Solving Allen-Cahn and Cahn-Hilliard equations using the adaptive physics informed neural networks. Zbl 07419706
Wight, Colby L.; Zhao, Jia |
|
2021
|
Staggered Lagrangian discretization based on cell-centered Riemann solver and associated hydrodynamics scheme. Zbl 1373.76138
Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel |
|
2011
|
Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Zbl 1373.76026
Dijkstra, Henk A.; Wubs, Fred W.; Cliffe, Andrew K.; Doedel, Eusebius; Dragomirescu, Ioana F.; Eckhardt, Bruno; Gelfgat, Alexander Yu.; Hazel, Andrew L.; Lucarini, Valerio; Salinger, Andy G.; Phipps, Erik T.; Sanchez-Umbria, Juan; Schuttelaars, Henk; Tuckerman, Laurette S.; Thiele, Uwe |
|
2014
|
Efficient energy stable schemes with spectral discretization in space for anisotropic Cahn-Hilliard systems. Zbl 1388.65117
Chen, Feng; Shen, Jie |
|
2013
|
Deep Nitsche method: deep Ritz method with essential boundary conditions. Zbl 1473.65309
Liao, Yulei; Ming, Pingbing |
|
2021
|
A computational study of a data assimilation algorithm for the two-dimensional Navier-Stokes equations. Zbl 1373.76027
Gesho, Masakazu; Olson, Eric; Titi, Edriss S. |
|
2016
|
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B. |
|
2006
|
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang |
|
2009
|
A numerical study on the weak Galerkin method for the Helmholtz equation. Zbl 1388.65156
Mu, Lin; Wang, Junping; Ye, Xiu; Zhao, Shan |
|
2014
|
A robust WENO type finite volume solver for steady Euler equations on unstructured grids. Zbl 1364.65226
Hu, Guanghui; Li, Ruo; Tang, Tao |
|
2011
|
A new weak Galerkin finite element scheme for the Brinkman model. Zbl 1373.76108
Zhai, Qilong; Zhang, Ran; Mu, Lin |
|
2016
|
Mathematical principles of anisotropic mesh adaptation. Zbl 1122.65124
Huang, Weizhang |
|
2006
|
An all-regime Lagrange-projection like scheme for the gas dynamics equations on unstructured meshes. Zbl 1373.76120
Chalons, Christophe; Girardin, Mathieu; Kokh, Samuel |
|
2016
|
Numerical approximations for Allen-Cahn type phase field model of two-phase incompressible fluids with moving contact lines. Zbl 1488.65266
Ma, Lina; Chen, Rui; Yang, Xiaofeng; Zhang, Hui |
|
2017
|
On the volume conservation of the immersed boundary method. Zbl 1373.74098
Griffith, Boyce E. |
|
2012
|
Flow in collapsible tubes with discontinuous mechanical properties: mathematical model and exact solutions. Zbl 1373.76362
Toro, Eleuterio F.; Siviglia, Annunziato |
|
2013
|
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters. Zbl 1528.65045
Dong, Lixiu; Wang, Cheng; Zhang, Hui; Zhang, Zhengru |
|
2020
|
Preconditioned iterative methods for two-dimensional space-fractional diffusion equations. Zbl 1388.65057
Jin, Xiao-Qing; Lin, Fu-Rong; Zhao, Zhi |
|
2015
|
A third order BDF energy stable linear scheme for the no-slope-selection thin film model. Zbl 1528.65086
Hao, Yonghong; Huang, Qiumei; Wang, Cheng |
|
2021
|
On linear and unconditionally energy stable algorithms for variable mobility Cahn-Hilliard type equation with logarithmic Flory-Huggins potential. Zbl 1473.65218
Yang, Xiaofeng; Zhao, Jia |
|
2019
|
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation. Zbl 1388.65066
Qiu, Jing-Mei; Shu, Chi-Wang |
|
2011
|
Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. I: Single-interval schemes. Zbl 1364.65025
Boyd, John P.; Ong, Jun Rong |
|
2009
|
Mass and volume conservation in phase field models for binary fluids. Zbl 1373.76317
Shen, Jie; Yang, Xiaofeng; Wang, Qi |
|
2013
|
Fourth order difference approximations for space Riemann-Liouville derivatives based on weighted and shifted Lubich difference operators. Zbl 1388.65130
Chen, Minghua; Deng, Weihua |
|
2014
|
Multi-scale deep neural network (MscaleDNN) for solving Poisson-Boltzmann equation in complex domains. Zbl 1473.65348
Liu, Ziqi; Cai, Wei; Xu, Zhi-Qin John |
|
2020
|
Multi-symplectic Fourier pseudospectral method for the Kawahara equation. Zbl 1388.65119
Gong, Yuezheng; Cai, Jiaxiang; Wang, Yushun |
|
2014
|
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S. |
|
2006
|
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations. Zbl 1364.76111
Cheng, Juan; Shu, Chi-Wang |
|
2008
|
A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225
He, X.-M.; Lin, T.; Lin, Y. |
|
2009
|
A compressed sensing approach for partial differential equations with random input data. Zbl 1388.65018
Mathelin, L.; Gallivan, K. A. |
|
2012
|
Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252
Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia |
|
2019
|
Numerical entropy and adaptivity for finite volume schemes. Zbl 1373.76140
Puppo, Gabriella; Semplice, Matteo |
|
2011
|
Semi-implicit interior penalty discontinuous Galerkin methods for viscous compressible flows. Zbl 1364.76085
Dolejsi, Vit |
|
2008
|
Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation. Zbl 1364.76248
Alastruey, J.; Parker, K. H.; Peiro, J.; Sherwin, S. J. |
|
2008
|
PVFMM: A parallel kernel independent FMM for particle and volume potentials. Zbl 1388.65169
Malhotra, Dhairya; Biros, George |
|
2015
|
Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 1507.68279
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng |
|
2020
|
Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation. Zbl 1164.76422
Liu, Chun; Shen, Jie; Yang, Xiaofeng |
|
2007
|
Efficient deterministic modelling of three-dimensional rarefied gas flows. Zbl 1373.82084
Titarev, V. A. |
|
2012
|
IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117
Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian |
|
2014
|
Deep network approximation characterized by number of neurons. Zbl 1507.68276
Shen, Zuowei; Yang, Haizhao; Zhang, Shijun |
|
2020
|
Stochastic collocation on unstructured multivariate meshes. Zbl 1388.65127
Narayan, Akil; Zhou, Tao |
|
2015
|
Molecular hydrodynamics of the moving contact line in two-phase immiscible flows. Zbl 1115.76079
Qian, Tiezheng; Wang, Xiao-Ping; Sheng, Ping |
|
2006
|
Numerical simulation of time-harmonic waves in inhomogeneous media using compact high order schemes. Zbl 1364.78034
Britt, Steven; Tsynkov, Semyon; Turkel, Eli |
|
2011
|
Fourth order exponential time differencing method with local discontinuous Galerkin approximation for coupled nonlinear Schrödinger equations. Zbl 1388.65086
Liang, Xiao; Khaliq, A. Q. M.; Xing, Yulong |
|
2015
|
Optimal superconvergence of energy conserving local discontinuous Galerkin methods for wave equations. Zbl 1388.65097
Cao, Waixiang; Li, Dongfang; Zhang, Zhimin |
|
2017
|
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian |
|
2016
|
Computation of two-phase biomembranes with phase dependent material parameters using surface finite elements. Zbl 1373.74089
Elliott, Charles M.; Stinner, Björn |
|
2013
|
Two-grid method for miscible displacement problem by mixed finite element methods and mixed finite element method of characteristics. Zbl 1373.76079
Chen, Yanping; Hu, Hanzhang |
|
2016
|
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing |
|
2013
|
A parallel, reconstructed discontinuous Galerkin method for the compressible flows on arbitrary grids. Zbl 1364.76090
Luo, Hong; Luo, Luqing; Ali, Amjad; Nourgaliev, Robert; Cai, Chunpei |
|
2011
|
Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong |
|
2008
|
Adaptive finite element modeling techniques for the Poisson-Boltzmann equation. Zbl 1373.82077
Holst, M.; McCammon, J. A.; Yu, Z.; Zhou, Y. C.; Zhu, Y. |
|
2012
|
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha |
|
2016
|
Efficient implicit non-linear LU-SGS approach for compressible flow computation using high-order spectral difference method. Zbl 1364.76139
Sun, Yuzhi; Wang, Z. J.; Liu, Yen |
|
2009
|
Particulate flow simulation via a boundary condition-enforced immersed boundary-lattice Boltzmann scheme. Zbl 1364.76193
Wu, J.; Shu, C. |
|
2010
|
Truncation errors, exact and heuristic stability analysis of two-relaxation-times lattice Boltzmann schemes for anisotropic advection-diffusion equation. Zbl 1373.76241
Ginzburg, Irina |
|
2012
|
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei |
|
2012
|
Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Zbl 1373.82075
Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric |
|
2015
|
Spectral-element and adjoint methods in seismology. Zbl 1183.74320
Tromp, Jeroen; Komatitsch, Dimitri; Liu, Qinya |
|
2008
|
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes. Zbl 1488.65493
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian |
|
2017
|
A second order numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential. Zbl 07895206
Chen, Wenbin; Jing, Jianyu; Liu, Qianqian; Wang, Cheng; Wang, Xiaoming |
|
2024
|
A model-data asymptotic-preserving neural network method based on micro-macro decomposition for gray radiative transfer equations. Zbl 07893895
Li, Hongyan; Jiang, Song; Sun, Wenjun; Xu, Liwei; Zhou, Guanyu |
|
2024
|
Application of continuous data assimilation in high-resolution ocean modeling. Zbl 07893904
Larios, Adam; Petersen, Mark; Victor, Collin |
|
2024
|
On the monotonicity of \(Q^2\) spectral element method for Laplacian on quasi-uniform rectangular meshes. Zbl 1536.65139
Cross, Logan J.; Zhang, Xiangxiong |
|
2024
|
Maximum-principle-preserving, steady-state-preserving and large time-stepping high-order schemes for scalar hyperbolic equations with source terms. Zbl 1536.65084
Liu, Lele; Zhang, Hong; Qian, Xu; Song, Songhe |
|
2024
|
Postprocessing techniques of high-order Galerkin approximations to nonlinear second-order initial value problems with applications to wave equations. Zbl 07895211
Zhang, Mingzhu; Yi, Lijun |
|
2024
|
AFEPack: a general-purpose C++ library for numerical solutions of partial differential equations. Zbl 07916208
Cai, Zhenning; Chen, Yun; Di, Yana; Hu, Guanghui; Li, Ruo; Liu, Wenbin; Wang, Heyu; Yang, Fanyi; Yao, Chengbao; Zhan, Hongfei |
|
2024
|
Convergence of physics-informed neural networks applied to linear second-order elliptic interface problems. Zbl 1509.65145
Wu, Sidi; Zhu, Aiqing; Tang, Yifa; Lu, Benzhuo |
|
2023
|
Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation. Zbl 1538.65297
Bailo, Rafael; Carrillo, José A.; Kalliadasis, Serafim; Perez, Sergio P. |
|
2023
|
A decreasing upper bound of the energy for time-fractional phase-field equations. Zbl 1514.65105
Quan, Chaoyu; Tang, Tao; Wang, Boyi; Yang, Jiang |
|
2023
|
Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. Zbl 1512.74099
Park, Jea-Hyun; Salgado, Abner J.; Wise, Steven M. |
|
2023
|
Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows. Zbl 1524.76490
Hosseini, S. A.; Dorschner, B.; Karlin, I. V. |
|
2023
|
The bulk-surface virtual element method for reaction-diffusion PDEs: analysis and applications. Zbl 07708276
Frittelli, Massimo; Madzvamuse, Anotida; Sgura, Ivonne |
|
2023
|
Saturation-value blind color image deblurring with geometric spatial-feature prior. Zbl 1514.65067
Zhang, Hao; Fang, Yingying; Wong, Hok Shing; Li, Lihua; Zeng, Tieyong |
|
2023
|
Efficient splitting methods based on modified potentials: numerical integration of linear parabolic problems and imaginary time propagation of the Schrödinger equation. Zbl 1514.65115
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild |
|
2023
|
A characteristic boundary condition for multispeed lattice Boltzmann methods. Zbl 1524.76286
Klass, Friedemann; Gabbana, Alessandro; Bartel, Andreas |
|
2023
|
Structure-preserving finite-element schemes for the Euler-Poisson equations. Zbl 1514.65134
Maier, Matthias; Shadid, John N.; Tomas, Ignacio |
|
2023
|
A new family of nonconforming elements with \(\boldsymbol{H}(\operatorname{curl})\)-continuity for the 3D quad-curl problem. Zbl 1515.65303
Zhang, Baiju; Zhang, Zhimin |
|
2023
|
A five-point TENO scheme with adaptive dissipation based on a new scale sensor. Zbl 07708289
Huang, Haohan; Liang, Tian; Fu, Lin |
|
2023
|
Flux globalization based well-balanced path-conservative central-upwind scheme for the thermal rotating shallow water equations. Zbl 1537.76081
Cao, Yangyang; Kurganov, Alexander; Liu, Yongle |
|
2023
|
An iterative thresholding method for the minimum compliance problem. Zbl 1514.74072
Cen, Luyu; Hu, Wei; Wang, Dong; Wang, Xiaoping |
|
2023
|
Investigating and mitigating failure modes in physics-informed neural networks (PINNs). Zbl 1514.65146
Basir, Shamsulhaq |
|
2023
|
A hybrid WENO scheme for steady Euler equations in curved geometries on Cartesian grids. Zbl 1514.65153
Wan, Yifei; Xia, Yinhua |
|
2023
|
A stable arbitrarily high order time-stepping method for thermal phase change problems. Zbl 1509.65065
Wang, Weiwen; Xu, Chuanju |
|
2023
|
Fifth-order A-WENO path-conservative central-upwind scheme for behavioral non-equilibrium traffic models. Zbl 1520.76057
Chu, Shaoshuai; Kurganov, Alexander; Mohammadian, Saeed; Zheng, Zuduo |
|
2023
|
Implicit quadrature-free direct reconstruction method for efficient scale-resolving simulations. Zbl 1524.76234
You, Hojun; Kim, Juhyun; Kim, Chongam |
|
2023
|
Modeling thermal regulation in thin vascular systems: a mathematical analysis. Zbl 1524.35661
Nakshatrala, Kalyana B. |
|
2023
|
An efficient neural-network and finite-difference hybrid method for elliptic interface problems with applications. Zbl 1514.65150
Hu, Wei-Fan; Lin, Te-Sheng; Tseng, Yu-Hau; Lai, Ming-Chih |
|
2023
|
Numerical solution of the incompressible Navier-Stokes equation by a deep branching Algorithm. Zbl 07738853
Nguwi, Jiang Yu; Penent, Guillaume; Privault, Nicolas |
|
2023
|
Neural networks with local converging inputs (NNLCI) for solving conservation laws. I: 1D problems. Zbl 1519.65018
Huang, Haoxiang; Yang, Vigor; Liu, Yingjie |
|
2023
|
Monotonic diamond and DDFV type finite-volume schemes for 2D elliptic problems. Zbl 1519.65047
Blanc, Xavier; Hermeline, Francois; Labourasse, Emmanuel; Patela, Julie |
|
2023
|
Learning specialized activation functions for physics-informed neural networks. Zbl 1538.65434
Wang, Honghui; Lu, Lu; Song, Shiji; Huang, Gao |
|
2023
|
High-order low-dissipation shock-resolving TENO-THINC schemes for hyperbolic conservation laws. Zbl 1529.65019
Takagi, Shinichi; Wakimura, Hiro; Fu, Lin; Xiao, Feng |
|
2023
|
Nonconforming finite elements for the \(-\operatorname{curl}\Delta\operatorname{curl}\) and Brinkman problems on cubical meshes. Zbl 1538.65571
Zhang, Qian; Zhang, Min; Zhang, Zhimin |
|
2023
|
New superconvergent structures with optional superconvergent points for the finite volume element method. Zbl 1514.65113
Wang, Xiang; Zhang, Yuqing; Zhang, Zhimin |
|
2023
|
Superconvergence analysis of \(C^m\) finite element methods for fourth-order elliptic equations. I: One dimensional case. Zbl 1514.65165
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin |
|
2023
|
Sixth-order compact finite difference method for 2D Helmholtz equations with singular sources and reduced pollution effect. Zbl 1538.65454
Feng, Qiwei; Han, Bin; Michelle, Michelle |
|
2023
|
A normalizing field flow induced two-stage stochastic homogenization method for random composite materials. Zbl 1538.65404
Yang, Zihao; Wang, Xintong; Guan, Xiaofei; Huang, Jizu; Wu, Xixin |
|
2023
|
Multiscale hybrid modeling of proteins in solvent: SARS-CoV2 spike protein as test case for lattice Boltzmann – all atom molecular dynamics coupling. Zbl 1508.92084
Lauricella, Marco; Chiodo, Letizia; Bonaccorso, Fabio; Durve, Mihir; Montessori, Andrea; Tiribocchi, Adriano; Loppini, Alessandro; Filippi, Simonetta; Succi, Sauro |
|
2023
|
Hyperbolic divergence cleaning in lattice Boltzmann magnetohydrodynamics. Zbl 1524.76512
Dellar, Paul J. |
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2023
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The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse – a qubit lattice algorithm simulation. Zbl 1512.78032
Vahala, George; Vahala, Linda; Ram, Abhay K.; Soe, Min |
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2023
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Lattice Boltzmann modeling of cholesteric liquid crystal droplets under an oscillatory electric field. Zbl 1520.76060
Fadda, F.; Lamura, A.; Tiribocchi, A. |
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2023
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Prediction of moments in the particles on demand method for LBM. Zbl 1518.76045
Zipunova, Elizaveta; Perepelkina, Anastasia; Levchenko, Vadim; Zvezdin, German |
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2023
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Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates. Zbl 1524.76537
Simeoni, Daniele; Gabbana, Alessandro; Succi, Sauro |
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2023
|
Chromodynamic lattice Boltzmann method for the simulation of drops, erythrocytes, and other vesicles. Zbl 1512.76074
Spendlove, J.; Xu, X.; Schenkel, T.; Gunn, J. P.; Halliday, I. |
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2023
|
Lattice Boltzmann simulations of two linear microswimmers using the immersed boundary method. Zbl 1512.76071
Geyer, D.; Ziegler, S.; Sukhov, A.; Hubert, M.; Smith, A.-S.; Aouane, O.; Malgaretti, P.; Harting, J. |
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2023
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Numerical stability analysis for a stationary and translating droplet at extremely low viscosity values using the lattice Boltzmann method color-gradient multi-component model with central moments formulation. Zbl 1522.76059
Datadien, Karun P. N.; Di Staso, Gianluca; Toschi, Federico |
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2023
|
Effective force stabilising technique for the immersed boundary method. Zbl 1508.76084
Ghosh, Arnab; Gabbana, Alessandro; Wijshoff, Herman; Toschi, Federico |
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2023
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Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions. Zbl 1512.35421
Xiao, Wenqiang; Gong, Bo; Lin, Junshan; Sun, Jiguang |
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2023
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A fourth-order kernel-free boundary integral method for interface problems. Zbl 1518.65138
Xie, Yaning; Li, Shuwang; Ying, Wenjun |
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2023
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Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors. Zbl 1519.65037
Bergermann, Kai; Deibel, Carsten; Herzog, Roland; Mackenzie, Roderick C. I.; Pietschmann, Jan-Frederik; Stoll, Martin |
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2023
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Random walk approximation for irreversible drift-diffusion process on manifold: ergodicity, unconditional stability and convergence. Zbl 07738849
Gao, Yuan; Liu, Jian-Guo |
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2023
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General synthetic iterative scheme for unsteady rarefied gas flows. Zbl 1522.76056
Zeng, Jianan; Su, Wei; Wu, Lei |
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2023
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An accurate and scalable direction-splitting solver for flows laden with non-spherical rigid bodies. I: Fixed rigid bodies. Zbl 07783919
Goyal, Aashish; Wachs, Anthony |
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2023
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Bi-orthogonal fPINN: a physics-informed neural network method for solving time-dependent stochastic fractional PDEs. Zbl 1532.65066
Ma, Lei; Li, Rongxin; Zeng, Fanhai; Guo, Ling; Karniadakis, George Em |
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2023
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A high order positivity-preserving discontinuous Galerkin remapping method based on a moving mesh solver for ALE simulation of the compressible fluid flow. Zbl 1529.65068
Gu, Xiaolu; Cheng, Juan; Shu, Chi-Wang |
|
2023
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Convergence rate analysis for deep Ritz method. Zbl 1491.65117
Duan, Chenguang; Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Yang, Jerry Zhijian |
|
2022
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A modified Crank-Nicolson numerical scheme for the Flory-Huggins Cahn-Hilliard model. Zbl 07493157
Chen, Wenbin; Jing, Jianyu; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. |
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2022
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A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations. Zbl 1482.65176
Zhang, Min; Huang, Weizhang; Qiu, Jianxian |
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2022
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Deep unfitted Nitsche method for elliptic interface problems. Zbl 1493.65203
Guo, Hailong; Yang, Xu |
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2022
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A rate of convergence of physics informed neural networks for the linear second order elliptic PDEs. Zbl 1491.65118
Jiao, Yuling; Lai, Yanming; Li, Dingwei; Lu, Xiliang; Wang, Fengru; Wang, Yang; Yang, Jerry Zhijian |
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2022
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An augmented Lagrangian deep learning method for variational problems with essential boundary conditions. Zbl 1482.65226
Huang, Jianguo; Wang, Haoqin; Zhou, Tao |
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2022
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Continuous finite element subgrid basis functions for discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. Zbl 1492.65261
Boscheri, Walter; Dumbser, Michael; Gaburro, Elena |
|
2022
|
High-order positivity-preserving well-balanced discontinuous Galerkin methods for Euler equations with gravitation on unstructured meshes. Zbl 1482.65191
Zhang, Weijie; Xing, Yulong; Xia, Yinhua; Xu, Yan |
|
2022
|
A consensus-based global optimization method with adaptive momentum estimation. Zbl 1508.68283
Chen, Jingrun; Jin, Shi; Lyu, Liyao |
|
2022
|
On a hybrid approach for recovering multiple obstacles. Zbl 1482.62044
Yin, Yunwen; Yin, Weishi; Meng, Pinchao; Liu, Hongyu |
|
2022
|
MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. Zbl 1497.35088
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E, Weinan; Xu, Zhi-Qin John; Ma, Zheng |
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2022
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Solving time dependent Fokker-Planck equations via temporal normalizing flow. Zbl 1495.65187
Feng, Xiaodong; Zeng, Li; Zhou, Tao |
|
2022
|
A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. Zbl 1482.65160
Chauvin, R.; Guisset, S.; Manach-Perennou, B.; Martaud, L. |
|
2022
|
A new mapped WENO scheme using order-preserving mapping. Zbl 1482.65147
Li, Ruo; Zhong, Wei |
|
2022
|
Well-balanced central scheme for the system of MHD equations with gravitational source term. Zbl 1496.65138
Kanbar, Farah; Touma, Rony; Klingenberg, Christian |
|
2022
|
An efficient iterative method for the formulation of flow networks. Zbl 1490.35323
Hu, Wei; Wang, Dong; Wang, Xiao-Ping |
|
2022
|
Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. Zbl 1508.92070
Bucelli, Michele; Dede, Luca; Quarteroni, Alfio; Vergara, Christian |
|
2022
|
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. Zbl 1496.65120
Li, Jiayin; Shu, Chi-Wang; Qiu, Jianxian |
|
2022
|
A NURBS-enhanced finite volume method for steady Euler equations with goal-oriented \(h\)-adaptivity. Zbl 1497.76058
Meng, Xucheng; Hu, Guanghui |
|
2022
|
PFNN-2: a domain decomposed penalty-free neural network method for solving partial differential equations. Zbl 1498.65155
Sheng, Hailong; Yang, Chao |
|
2022
|
A new directional algebraic fast multipole method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner. Zbl 1508.65149
Gujjula, Vaishnavi; Ambikasaran, Sivaram |
|
2022
|
A weak Galerkin mixed finite element method for second order elliptic equations on 2D curved domains. Zbl 1498.65204
Liu, Yi; Chen, Wenbin; Wang, Yanqiu |
|
2022
|
Random batch particle methods for the homogeneous Landau equation. Zbl 1486.65013
Carrillo, José Antonio; Jin, Shi; Tang, Yijia |
|
2022
|
VAE-KRnet and its applications to variational Bayes. Zbl 1486.62096
Wan, Xiaoliang; Wei, Shuangqing |
|
2022
|
A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242
Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng |
|
2022
|
Integral equation method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1486.65234
Ma, Yunyun; Sun, Jiguang |
|
2022
|
Direct simulation of charge transport in graphene nanoribbons. Zbl 1483.82011
Nastasi, Giovanni; Camiola, V. Dario; Romano, Vittorio |
|
2022
|
An LDG method for stochastic Cahn-Hilliard type equation driven by general multiplicative noise involving second-order derivative. Zbl 1482.65016
Zhou, Li; Li, Yunzhang |
|
2022
|
Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. Zbl 1500.76071
Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J. |
|
2022
|
An adaptive modal discontinuous Galerkin finite element parallel method using unsplit multi-axial perfectly matched layer for seismic wave modeling. Zbl 1486.86001
Xu, Yang; Chen, Xiaofei; Zhang, Wei; Pan, Xiao |
|
2022
|
A general improvement in the WENO-Z-type schemes. Zbl 1486.65114
Li, Ruo; Zhong, Wei |
|
2022
|
Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. Zbl 1486.65281
Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei |
|
2022
|
An adaptive moving mesh method for the five-equation model. Zbl 07569001
Gu, Yaguang; Luo, Dongmi; Gao, Zhen; Chen, Yibing |
|
2022
|
Unified gas-kinetic wave-particle methods. VI: Disperse dilute gas-particle multiphase flow. Zbl 1482.65166
Yang, Xiaojian; Liu, Chang; Ji, Xing; Shyy, Wei; Xu, Kun |
|
2022
|
Anomalous sorption kinetics of self-interacting particles by a spherical trap. Zbl 1493.92024
Raudino, Antonio; Grassi, Antonio; Lombardo, Giuseppe; Russo, Giovanni; Astuto, Clarissa; Corti, Mario |
|
2022
|
Incorporating the maximum entropy on the mean framework with kernel error for robust non-blind image deblurring. Zbl 1482.65087
Wong, Hok Shing; Zhang, Hao; Li, Lihua; Zeng, Tieyong; Fang, Yingying |
|
2022
|
Active nematodynamics on curved surfaces – the influence of geometric forces on motion patterns of topological defects. Zbl 1539.92197
Nestler, Michael; Voigt, Axel |
|
2022
|
Tuning symplectic integrators is easy and worthwhile. Zbl 1482.65228
McLachlan, Robert I. |
|
2022
|
A high-order direct discontinuous Galerkin method for variable density incompressible flows. Zbl 1500.65076
Zhang, Fan; Liu, Tiegang |
|
2022
|
Frame invariance and scalability of neural operators for partial differential equations. Zbl 1495.65202
Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng |
|
2022
|
A holomorphic operator function approach for the transmission eigenvalue problem of elastic waves. Zbl 1495.65204
Xi, Yingxia; Ji, Xia |
|
2022
|
Fourier collocation and reduced basis methods for fast modeling of compressible flows. Zbl 1500.76064
Yu, Jian; Ray, Deep; Hesthaven, Jan S. |
|
2022
|
Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations. Zbl 1492.35371
Li, Lei; Liu, Jian-Guo; Tang, Yijia |
|
2022
|
A DDG method with a residual-based artificial viscosity for the transonic/supersonic compressible flow. Zbl 1490.76121
He, Xiaofeng; Wang, Kun; Feng, Yiwei; Liu, Tiegang; Wang, Xiaojun |
|
2022
|
| ...and 1358 more Documents |
