Search Results

• A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

  Xiaodong Liu, Yidong Xia, Hong Luo & Lijun Xuan

  2018-04-04

  40414 3309 Pages:1016-1044

• A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

  Fan Zhang, Tiegang Liu

  2022-09-29

  40999 3166 Pages:850-877

• A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

  Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent

  2020-05-06

  50102 3397 Pages:1550-1589

• On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

  Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti

  2014-08-05

  41123 4144 Pages:301-327

• A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

  Xiaohan Zhu, Yuezheng Gong, Yushun Wang

  2025-09-05

  3601 327 Pages:1210-1236

• 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. Kühne

  2018-10-11

  50848 3372 Pages:564-585

• 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

  89003 4556 Pages:2042-2074

• 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

  45953 3305 Pages:510-530

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51166 3171 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

  49398 4230 Pages:60-93 Open-access

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

  Y. V. S. S. Sanyasiraju & Nachiketa Mishra

  2011-09-01

  38816 3846 Pages:897-916

• 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

  42649 4424 Pages:287-316

• 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

  41476 4678 Pages:271-312

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

  Walter Boscheri & Michael Dumbser

  2013-11-05

  40495 3961 Pages:1174-1206

• AUSM-Based High-Order Solution for Euler Equations

  Angelo L. Scandaliato & Meng-Sing Liou

  2012-12-01

  40926 4105 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

  39595 4341 Pages:99-113

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

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  48789 3355 Pages:591-620

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

  Takanori Haga, Keisuke Sawada & Z. J. Wang

  2020-07-30

  39453 4213 Pages:978-996

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

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46261 3977 Pages:288-320

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51988 3131 Pages:1272-1295

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33711 3342 Pages:173-207

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45561 3252 Pages:1402-1433

• $C^0$IPG for a Fourth Order Eigenvalue Problem

  Xia Ji, Hongrui Geng, Jiguang Sun & Liwei Xu

  2018-04-03

  42426 3204 Pages:393-410

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42307 4129 Pages:491-515

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70404 3799 Pages:1707-1745

• Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

  Morgane Bergot & Marc Duruflé

  2013-11-05

  40073 3948 Pages:1372-1414

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

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32683 3189 Pages:733-763 Open-access