Search Results

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

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  242 59 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

  40039 4018 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

  41592 3322 Pages:742-764

• Mathematical Models and Numerical Methods for High Frequency Waves

  O. Runborg

  2007-02-01

  38884 13668778 Pages:827-880

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

  H. Liu, S. Osher & R. Tsai

  2006-01-01

  39506 3837 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

  26459 2242 Pages:313-368

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

  Yingnan Zhang, Xingbiao Hu, Yi He & Jianqing Sun

  2019-04-04

  45787 3390 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

  47691 3101 Pages:1150-1184

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina & Timothy Warburton

  2018-04-03

  42479 4590 Pages:37-64

• The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

  Giovanna Grosso, Matteo Antuono & Eleuterio Toro

  2010-07-01

  41484 4330 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

  47301 5034 Pages:1-29

• On Spiral Waves Arising in Natural Systems

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

  2010-08-01

  42231 4093 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

  24006 2091 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

  3664 332 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

  47323 3222 Pages:361-407

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

  Waixiang Cao, Dongfang Li & Zhimin Zhang

  2018-04-08

  41342 4699 Pages:211-236

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  J. Hong, S. Jiang, C. Li & H. Liu

  2007-02-01

  39080 3955 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

  8885 481 Pages:1383-1416

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 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

  47689 5485 Pages:30-92

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

  Y. V. S. S. Sanyasiraju & Nachiketa Mishra

  2011-09-01

  38816 3846 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

  9293 537 Pages:975-1007

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

  Philippe G. LeFloch & Hasan Makhlof

  2014-03-05

  41610 4023 Pages:827-852

• Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

  Shanshan Jiang, Lijin Wang & Jialin Hong

  2014-08-05

  41503 3991 Pages:393-411

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

  Linghua Kong, Jialin Hong & Jingjing Zhang

  2014-07-05

  39171 4793 Pages:219-241

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

  Fayssal Benkhaldoun & Mohammed Seaïd

  2008-04-01

  38729 4341 Pages:820-837