Search Results

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

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  791 145 Pages:1137-1163

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

  Hermann Brunner, Hongwei Li, Xiaonan Wu

  2013-09-05

  40120 4060 Pages:574-598

• 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

  41690 3362 Pages:742-764

• Mathematical Models and Numerical Methods for High Frequency Waves

  O. Runborg

  2007-02-01

  39005 13668818 Pages:827-880

• Multi-Valued Solution and Level Set Methods in Computational High Frequency Wave Propagation

  Hailiang Liu, Stanley Osher, Richard Tsai

  2006-01-01

  39603 3888 Pages:765-804

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

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26576 2274 Pages:313-368

• A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

  Yingnan Thang, Xingbiao Hu, Yi He, Jianqing Sun

  2019-04-04

  45885 3426 Pages:579-598

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3143 Pages:1150-1184

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina, Timothy Warburton

  2018-04-03

  42676 4693 Pages:37-64

• The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

  Giovanna Grosso, Matteo Antuono, Eleuterio Toro

  2010-07-01

  41572 4415 Pages:64-102

• Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Dimitrios Mitsotakis

  2018-07-03

  47433 5109 Pages:1-29

• On Spiral Waves Arising in Natural Systems

  D. Bini, C. Cherubini, S. Filippi, A. Gizzi, P. E. Ricci

  2010-08-01

  42328 4116 Pages:610-622

• Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Mingzhu Zhang, Lijun Yi

  2024-04-10

  24108 2140 Pages:816-858

• High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

  Guanlan Huang, Yulong Xing, Tao Xiong

  2025-09-05

  3827 374 Pages:1130-1172

• Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev

  2018-08-21

  47430 3252 Pages:361-407

• Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations

  Waixiang Cao, Dongfang Li, Zhimin Zhang

  2018-04-08

  41422 4760 Pages:211-236

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  Jialin Hong, Shanshan Jiang, Chun Li, Hongyu Liu

  2007-02-01

  39163 3987 Pages:662-683

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9043 520 Pages:1383-1416

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48592 3439 Pages:979-1029

• Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev, Nina Yu. Shokina

  2018-07-03

  47804 5538 Pages:30-92

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

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

  2011-09-01

  38897 3890 Pages:897-916

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  9626 581 Pages:975-1007

• A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

  Philippe G. LeFloch, Hasan Makhlof

  2014-03-05

  41684 4056 Pages:827-852

• Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

  Shanshan Jiang, Lijin Wang, Jialin Hong

  2014-08-05

  41608 4024 Pages:393-411

• LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

  Linghua Kong, Jialin Hong, Jingjing Zhang

  2014-07-05

  39267 4846 Pages:219-241

• New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

  Fayssal Benkhaldoun, Mohammed Seaid

  2008-04-01

  38820 4379 Pages:820-837