Search Results

• Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5394 688 Pages:74-108

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46560 3357 Pages:1094-1128

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2012-11-01

  38735 4069 Pages:1503-1524

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46761 3383 Pages:1510-1529

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  41076 3303 Pages:596-627

• A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46354 4073 Pages:288-320

• An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  48904 3381 Pages:591-620

• High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

  Walter Boscheri, Raphaël Loubère

  2018-04-08

  41589 4734 Pages:271-312

• Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

  Walter Boscheri, Michael Dumbser

  2013-11-05

  40598 3990 Pages:1174-1206

• AUSM-Based High-Order Solution for Euler Equations

  Angelo L. Scandaliato, Meng-Sing Liou

  2012-12-01

  41020 4156 Pages:1096-1120

• Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

  T. V. S. Sekhar, B. Hema Sundar Raju, Y. V. S. S. Sanyasiraju

  2012-11-01

  39682 4411 Pages:99-113

• An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

  Takanori Haga, Keisuke Sawada, Z. J. Wang

  2020-07-30

  39534 4246 Pages:978-996

• 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

  42719 4495 Pages:287-316

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51281 3211 Pages:1180-1214

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49554 4326 Pages:60-93 Open-access

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen, Yanqiu Wang

  2018-09-17

  46055 3332 Pages:510-530

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

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

  2011-09-01

  38896 3890 Pages:897-916

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  89513 4611 Pages:2042-2074

• A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices

  Dorothee Richters, Michael Lass, Andrea Walther, Christian Plessl, Thomas D. Kuehne

  2018-10-11

  50982 3434 Pages:564-585

• An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

  Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song

  2026-04-10

  103 19 Pages:199-238

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  41831 3165 Pages:458-486

• SPEEDUP Code for Calculation of Transition Amplitudes via the Effective Action Approach

  Antun Balaž, Ivana Vidanović, Danica Stojiljković, Dušan Vudragović, Aleksandar Belić, Aleksandar Bogojević

  2012-11-01

  42968 4106 Pages:739-755

• A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

  Lei Li, Yuzhou Peng

  2025-08-23

  6596 498 Pages:630-660

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5370 894 Pages:181-222

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  35600 2925 Pages:813-836

• VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

  Yujie Liu, Chao Yang

  2022-03-03

  45622 3272 Pages:739-770

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48467 3359 Pages:396-422