Search Results

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

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  3363 401 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

  53092 5418 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

  46229 3269 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

  51375 5912 Pages:86-103

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

  Feng Bao, Yanzhao Cao, Weidong Zhao

  2018-08-21

  47834 3753 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

  40119 4056 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

  47691 3237 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

  47445 5576 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

  46097 5454 Pages:244-265

• The Nonlinear Dynamic Behaviors of Electrostatic Micro-Tweezers

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

  2018-09-17

  44923 5072 Pages:253-267

• Efficient Computation of Nonlinear Crest Distributions for Irregular Stokes Waves

  Ying-Guang Wang

  2018-04-04

  40814 3077 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

  41323 4008 Pages:1167-1183

• Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

  Lei Zhang, Guowei He

  2026-01-18

  1014 227 Pages:1267-1298

• Long-Time Integration of Nonlinear Wave Equations with Neural Operators

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  784 143 Pages:1137-1163

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  2013 215 Pages:661-695

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

  Chengming Zeng, Dongjun Jiang, Qibing Li

  2026-02-15

  4015 202 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

  2026-01-15

  3326 314 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

  39124 4015 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

  26573 2273 Pages:313-368

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

  Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

  2023-11-08

  30960 2628 Pages:934-954

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

  Zhicheng Hu, Guanghan Li

  2023-09-04

  33052 2772 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

  307215 3641 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

  47274 4972 Pages:589-618 Open-access

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

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  49155 3572 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

  48241 3528 Pages:1307-1334

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

  Jing An, Waixiang Cao, Zhimin Zhang

  2019-08-27

  48981 3610 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

  47261 3320 Pages:880-912