Search Results

• First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2025-11-07

  2687 152 Pages:1-28

• Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

  Ricardo Ruiz-Baier, Alessio Gizzi, Alessandro Loppini, Christian Cherubini, Simonetta Filippi

  2020-03-06

  52867 5317 Pages:87-115 Open-access

• A Nonlinear Elimination Preconditioner for Fully Coupled Space-Time Solution Algorithm with Applications to High-Rayleigh Number Thermal Convective Flow Problems

  Haijian Yang & Feng-Nan Hwang

  2019-04-28

  46078 3211 Pages:749-767

• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

  Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang

  2018-09-17

  51086 5768 Pages:86-103

• A Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering Problems

  Feng Bao, Yanzhao Cao & Weidong Zhao

  2018-08-21

  47605 3692 Pages:1573-1601

• Numerical Solution of Blow-Up Problems for Nonlinear Wave Equations on Unbounded Domains

  Hermann Brunner, Hongwei Li & Xiaonan Wu

  2013-09-05

  39964 3998 Pages:574-598

• 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

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen & Jun Lu

  2019-02-25

  47236 5427 Pages:233-264

• Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

  Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang

  2018-09-01

  45916 5353 Pages:244-265

• The Nonlinear Dynamic Behaviors of Electrostatic Micro-Tweezers

  Bo-Wun Huang, Chao-Jung Chen & Jao-Hwa Kuang

  2018-09-17

  44755 4966 Pages:253-267

• Efficient Computation of Nonlinear Crest Distributions for Irregular Stokes Waves

  Ying-Guang Wang

  2018-04-04

  40682 3032 Pages:881-903

• A Nonlinear PIC Algorithm for High Frequency Waves in Magnetized Plasmas Based on Gyrocenter Gauge Kinetic Theory

  Jian Liu, Zhi Yu & Hong Qin

  2020-07-31

  41165 3909 Pages:1167-1183

• A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows

  Chengming Zeng, Dongjun Jiang, Qibing Li

  2025-11-28

  916 38 Pages:448-474

• A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals

  Tiexiang Li, Xing-Long Lyu, Ren-Cang Li, Wen-Wei Lin

  2025-11-07

  2600 109 Pages:261-295

• Investigation of Compressible Electromagnetic Flute Mode Instability in Finite Beta Plasma in Support of Z-Pinch and Laboratory Astrophysics Experiments

  V. I. Sotnikov, V. V. Ivanov, R. Presura, J. N. Leboeuf, O. G. Onishchenko, B. V. Oliver, B. Jones, T. A. Mehlhorn & C. Deeney

  2008-09-05

  38974 3947 Pages:611-623

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26355 2190 Pages:313-368

• A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30734 2548 Pages:934-954

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  32828 2711 Pages:357-391

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  306975 3553 Pages:299-335

• Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

  Feng Bao, Richard Archibald, Peter Maksymovych

  2019-12-07

  47019 4808 Pages:589-618 Open-access

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  48935 3491 Pages:1365-1396

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  47993 3463 Pages:1307-1334

• An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems

  Jing An, Waixiang Cao, Zhimin Zhang

  2019-08-27

  48774 3555 Pages:1249-1273

• An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics

  Zhongzheng Jiang, Wenwen Zhao, Weifang Chen & Ramesh K. Agarwal

  2019-04-28

  47028 3264 Pages:880-912

• A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

  Yanni Gao, Shuai Wang, Guangwei Yuan & Xudeng Hang

  2019-02-25

  45831 5007 Pages:135-159

• A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

  Fan Zhang, Hansong Tang, Jian Cheng & Tiegang Liu

  2018-12-08

  48659 3475 Pages:988-1009

• An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

  Lijie Mei, Changying Liu & Xinyuan Wu

  2017-09-02

  41540 3308 Pages:742-764