Search Results

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  250 70 Pages:1027-1058

• An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring

  Houde Han, Ming Yan & Chunlin Wu

  2008-04-01

  39053 4217 Pages:177-194

• Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

  Adam Larios, Collin Victor

  2021-02-25

  43713 3171 Pages:1273-1298

• A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

  Bin Lan, Zhiqiang Sheng & Guangwei Yuan

  2018-09-17

  45060 3682 Pages:1455-1476

• Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles

  Silvia Palpacelli & Sauro Succi

  2020-07-31

  48816 3172 Pages:899-909

• An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

  Wenjun Sun, Song Jiang & Kun Xu

  2017-10-02

  43606 3308 Pages:889-912

• Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

  Xiang Lai, Zhiqiang Sheng & Guangwei Yuan

  2018-04-08

  41198 4606 Pages:162-181

• A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  45765 3336 Pages:747-766

• Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media

  Jisheng Kou, Amgad Salama, Huangxin Chen, Shuyu Sun

  2026-01-03

  1794 126 Pages:815-854

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41665 2977 Pages:1240-1269

• A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

  Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang

  2019-08-27

  48016 3436 Pages:1597-1616

• Numerical Study of Turbidity Current over a Three-Dimensional Seafloor

  Ching Hao Yu, Liang Zhao, Haw Liang Wen, Tony Wen Hann Sheu & Rui Dong An

  2018-12-08

  50625 3461 Pages:1177-1212

• 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

  45826 3512 Pages:1512-1533

• A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise

  2018-08-21

  51603 3339 Pages:572-602

• Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations

  F. Chinesta, E. Abisset-Chavanne, A. Ammar & E. Cueto

  2018-04-02

  38759 2982 Pages:975-1006

• A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

  B. Manach-Pérennou, R. Chauvin, S. Guisset, J.-P. Perlat

  2025-07-11

  5281 583 Pages:1-36

• 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

  35685 1864 Pages:1229-1262

• Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  2023-03-13

  41178 3454 Pages:425-451

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  44893 3175 Pages:1118-1142

• A Parallel Adaptive Treecode Algorithm for Evolution of Elastically Stressed Solids

  Hualong Feng, Amlan Barua, Shuwang Li & Xiaofan Li

  2018-03-27

  40604 4096 Pages:365-387

• A Bistable Field Model of Cancer Dynamics

  C. Cherubini, A. Gizzi, M. Bertolaso, V. Tambone & S. Filippi

  2012-11-01

  39535 4269 Pages:1-18

• An Interface-Fitted Finite Element Level Set Method with Application to Solidification and Solvation

  Bo Li & John Shopple

  2011-10-01

  39132 4237 Pages:32-56

• 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

  38892 3979 Pages:568-586

• Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors

  Giacomo Dimarco, Lorenzo Pareschi & Vittorio Rispoli

  2014-05-05

  42407 3958 Pages:1291-1319

• A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  24996 2136 Pages:633-661

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32807 3047 Pages:764-794

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45557 3174 Pages:707-738