Search Results

• Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport

  Marta D’Elia, Mamikon Gulian

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0001s

  46709 3297 pp. 851-875

• The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

  Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0076

  7227 764 pp. 175-198

• Uncertainty Quantification with Physics-Informed Generative Process Distributions for the Linear Diffusion Equation

  Wei Zhang, Hui Xie, Tengchao Yu, Heng Yong

  2025-09-01

  DOI:10.4208/nmtma.OA-2025-0024

  5325 458 pp. 794-816

• A Priori and a Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

  Ningning Yan, Zhaojie Zhou

  2008-01-01

  39380 3653 pp. 297-320

• Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method

  Jiancheng Lyu, Jack Xin, Yifeng Yu

  2020-11-03

  DOI:10.4208/nmtma.2017.s08

  47718 2851 pp. 351-372

• Cooperative Sensing and Distributed Control of a Diffusion Process Using Centroidal Voronoi Tessellations

  Haiyang Chao, Yang-Quan Chen

  2010-03-01

  DOI:10.4208/nmtma.2010.32s.3

  42368 3809 pp. 162-177

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0100

  7646 578 pp. 487-520

• The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

  Hongmei Zhang, Shujun Shen

  2013-06-01

  DOI:10.4208/nmtma.2013.y12107

  40254 3668 pp. 571-585

• A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation

  Qiming Wang, Zhaojie Zhou, Wenbin Liu

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0116

  17714 1488 pp. 827-854

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0108

  21593 1691 pp. 429-462

• A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems

  Eugene O'Riordan, Jeanne Stynes, Martin Stynes

  2008-01-01

  38736 3517 pp. 176-197

• An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

  Cheng Dong, Tong Kang

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0006

  44841 2682 pp. 405-437

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  DOI:10.4208/nmtma.OA-2020-0032

  52925 3012 pp. 908-927

• Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

  Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0155

  47440 2811 pp. 797-810

• Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

  Reza Mokhtari, Mohadese Ramezani, Gundolf Haase

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0020

  48654 2786 pp. 945-971

• Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

  Adem Kaya

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0083

  34010 3300 pp. 26-57

• Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

  Xu Guo, Leevan Ling

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0131

  51270 2886 pp. 437-452

• A Finite Difference Scheme on $a$ $priori$ Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation

  Grigory I. Shishkin

  2008-01-01

  37896 3350 pp. 214-234

• Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

  Gongsheng Li, Chunlong Sun, Xianzheng Jia, Dianhu Du

  2016-09-01

  DOI:10.4208/nmtma.2016.y13024

  40009 2775 pp. 337-357

• Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control

  Hans-Goerg Roos, Christian Reibiger

  2011-04-01

  DOI:10.4208/nmtma.2011.m1101

  40925 3730 pp. 562-575

• Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

  Xingyang Ye, Chuanju Xu

  2013-06-01

  DOI:10.4208/nmtma.2013.1207nm

  40027 3944 pp. 499-519

• Finite Element Simulations with Adaptively Moving Mesh for the Reaction Diffusion System

  Congcong Xie, Xianliang Hu

  2016-09-01

  DOI:10.4208/nmtma.2016.m1229

  39126 2793 pp. 686-704

• A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

  Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0003

  12393 1400 pp. 882-903

• An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations

  Liyong Zhu, Guangwei Yuan, Qiang Du

  2009-02-01

  DOI:10.4208/nmtma.2009.m8016

  41309 3391 pp. 301-325

• A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

  Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0020

  49331 2796 pp. 893-919

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0165

  55831 3409 pp. 279-303