Search Results

• Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

  Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan & S. C. Syue

  2018-04-03

  41647 3200 Pages:496-533

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk & Zhaoxia Yang

  2018-04-02

  41122 3322 Pages:1225-1245

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35549 1812 Pages:1229-1262

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36587 1889 Pages:1155-1193

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  54997 3468 Pages:698-728

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li & Hong Wang

  2018-09-17

  46956 3303 Pages:531-556

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

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

  2011-09-01

  38761 3824 Pages:897-916

• Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1

  Qingshan Chen, Zhen Qin & Roger Temam

  2011-03-05

  38821 3959 Pages:568-586

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise & B. T. Cox

  2018-09-17

  46602 3271 Pages:623-634

• A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

  Pascal Jacq, Pierre-Henri Maire & Rémi Abgrall

  2014-10-08

  42351 4150 Pages:841-891

• 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

  38594 4023 Pages:1503-1524

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3509 292 Pages:953-986

• A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

  Karol Mikula, Daniel Ševčovič, Martin Balažovjech

  2010-07-01

  41031 4246 Pages:195-211

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

  Fan Zhang, Tiegang Liu

  2022-09-29

  40876 3129 Pages:850-877

• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42740 3302 Pages:398-448

• A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

  Eskil Hansen & Erik Henningsson

  2020-07-31

  40290 3272 Pages:1302-1316

• A Novel Technique for Constructing Difference Schemes for Systems of Singularly Perturbed Equations

  Po-Wen Hsieh, Yin-Tzer Shih, Suh-Yuh Yang & Cheng-Shu You

  2020-07-31

  40581 3266 Pages:1287-1301

• The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

  Shamsul Qamar, Munshoor Ahmed & Ishtiaq Ali

  2012-12-01

  40259 4194 Pages:1070-1095

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou

  2020-07-30

  39998 3316 Pages:1313-1335

• Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations

  Guang-Hua Gao & Hai-Wei Sun

  2020-07-30

  40323 3044 Pages:487-509

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  47490 3185 Pages:1185-1215

• Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

  Yonggui Yan, Zhi-Zhong Sun & Jiwei Zhang

  2017-10-02

  44321 3357 Pages:1028-1048

• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

  Necibe Tuncer & Anotida Madzvamuse

  2018-04-09

  40995 3100 Pages:718-747

• A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

  Yunlong Yu, Yanzhong Yao, Guangwei Yuan & Xingding Chen

  2020-07-30

  42259 3385 Pages:1405-1423

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

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27824 1940 Pages:1003-1028

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31555 2569 Pages:1079-1132

• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

  Vyacheslav A. Trofimov, Maria M. Loginova & Vladimir A. Egorenkov

  2018-08-21

  45741 3496 Pages:1512-1533