Search Results

• A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

  Kaixin Wang, Hong Wang, Mohamed Al-Lawatia, Hongxing Rui

  2009-06-01

  205 160 pp. 203-230

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  DOI:10.4208/cicp.OA-2019-0197

  46446 4465 pp. 237-264

• 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

  DOI:10.4208/cicp.230914.040615a

  41796 3256 pp. 496-533

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

  Michael Junk, Zhaoxia Yang

  2018-04-02

  DOI:10.4208/cicp.2014.m369

  41285 3373 pp. 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

  DOI:10.4208/cicp.OA-2023-0274

  35802 1899 pp. 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

  DOI:10.4208/cicp.OA-2022-0315

  36826 1981 pp. 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

  DOI:10.4208/cicp.OA-2020-0142

  55435 3561 pp. 698-728

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  DOI:10.4208/cicp.OA-2018-0001

  47146 3347 pp. 531-556

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

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

  2011-09-01

  DOI:10.4208/cicp.171209.300710a

  38898 3890 pp. 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

  DOI:10.4208/cicp.110909.160310s

  38982 4009 pp. 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

  DOI:10.4208/cicp.OA-2017-0192

  46850 3342 pp. 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, Remi Abgrall

  2014-10-08

  DOI:10.4208/cicp.310513.170314a

  42512 4200 pp. 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

  DOI:10.4208/cicp.050810.090611a

  38737 4070 pp. 1503-1524

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  DOI:10.4208/cicp.OA-2024-0299

  3802 363 pp. 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

  DOI:10.4208/cicp.2009.08.169

  41221 4354 pp. 195-211

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

  Fan Zhang, Tiegang Liu

  2022-09-29

  DOI:10.4208/cicp.OA-2022-0064

  41123 3196 pp. 850-877

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

  Francois Hermeline

  2022-01-27

  DOI:10.4208/cicp.OA-2021-0084

  42943 3364 pp. 398-448

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

  Eskil Hansen, Erik Henningsson

  2020-07-31

  DOI:10.4208/cicp.scpde14.22s

  40442 3321 pp. 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

  DOI:10.4208/cicp.scpde14.21s

  40740 3314 pp. 1287-1301

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

  Shamsul Qamar, Munshoor Ahmed, Ishtiaq Ali

  2012-12-01

  DOI:10.4208/cicp.210211.011111a

  40423 4255 pp. 1070-1095

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu, Zhiyang Zhou

  2020-07-30

  DOI:10.4208/cicp.091014.060315a

  40141 3372 pp. 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

  DOI:10.4208/cicp.180314.010914a

  40454 3089 pp. 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

  DOI:10.4208/cicp.OA-2021-0011

  47693 3240 pp. 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

  DOI:10.4208/cicp.OA-2017-0019

  44560 3499 pp. 1028-1048

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

  Necibe Tuncer, Anotida Madzvamuse

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0029

  41148 3160 pp. 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

  DOI:10.4208/cicp.230815.030616a

  42408 3450 pp. 1405-1423

• Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

  Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0176

  777 109 pp. 1231-1266