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• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  45192 3299 Pages:1489-1524

• A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

  Chengming Zeng, Dongjun Jiang, Qibing Li

  2026-02-15

  4021 202 Pages:448-474

• An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

  Xiaolan Chen, Yongjun Yuan, Yong Zhang

  2026-01-15

  3221 323 Pages:119-146

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50302 3700 Pages:1378-1412

• A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

  Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin

  2026-01-15

  3337 320 Pages:261-295

• An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

  Lijie Mei, Changying Liu, Xinyuan Wu

  2017-09-02

  41690 3362 Pages:742-764

• A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

  Marco Caliari, Simone Zuccher

  2021-03-24

  47949 3309 Pages:1336-1364

• An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

  Yuezheng Gong, Yushun Wang

  2020-07-30

  42392 3560 Pages:1313-1339

• Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  28052 2018 Pages:1003-1028

• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

  Michael Dumbser, Eleuterio F. Toro

  2011-10-01

  39641 4380 Pages:635-671

• Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

  Y. V. S. S. Sanyasiraju, Nachiketa Mishra

  2011-09-01

  38898 3890 Pages:897-916

• The Role of Anionic Protein Residues on the Salt Dependence of the Binding of Aminoacyl-tRNA Synthetases to tRNA: A Poisson-Boltzmann Analysis

  Johan H. Bredenberg, Alexander H. Boschitsch, Marcia O. Fenley

  2008-03-01

  40029 4137 Pages:1051-1070

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17147 1405 Pages:1157-1185

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  24031 1668 Pages:348-388

• Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

  Rik Verbiest, Julian Koellermeier

  2025-09-02

  10365 572 Pages:810-848

• A Local Model Reduction Method Based on $k$-Nearest-Neighbors for Parametrized Nonlocal Problems

  Caixia Nan, Qiuqi Li, Huailing Song

  2025-01-22

  15532 986 Pages:220-249

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu, Xin He

  2018-04-02

  42723 4496 Pages:287-316

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32790 3266 Pages:733-763 Open-access

• Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

  Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin

  2020-06-05

  52215 4644 Pages:297-327

• Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

  Qiya Hu, Lin Zhao

  2017-10-02

  43186 3259 Pages:1069-1100

• Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations

  Hua Wu, Jiajia Pan, Haichuan Zheng

  2020-07-31

  41064 3336 Pages:1221-1241

• Using an ILU/Deflation Preconditioner for Simulation of a PEM Fuel Cell Cathode Catalyst Layer

  Kyle J. Lange, Pang-Chieh Sui, Ned Djilali

  2013-09-05

  40352 3959 Pages:537-573

• A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

  Weizhu Bao, Chunxiong Zheng

  2007-02-01

  38356 4521 Pages:123-140