Search Results

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  43049 3771 Pages:222-258

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15989 1210 Pages:1262-1306

• The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

  Zhennan Zhou, Giovanni Russo

  2019-04-04

  47491 5537 Pages:469-505 Open-access

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20220 1586 Pages:485-520

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

  Yingnan Thang, Xingbiao Hu, Yi He, Jianqing Sun

  2019-04-04

  45880 3419 Pages:579-598

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang, Tao Zhou

  2010-08-01

  40346 4693 Pages:226-248

• Inverse Obstacle Scattering in an Unbounded Structure

  Gang Bao, Huayan Liu, Peijun Li, Lei Zhang

  2019-08-27

  49125 3715 Pages:1274-1306

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo, Yan Xu

  2018-09-17

  67893 5545 Pages:123-151

• Geometric Numerical Integration for Peakon b-Family Equations

  Wenjun Cai, Yajuan Sun, Yushun Wang

  2018-04-03

  40082 4538 Pages:24-52

• Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

  Ru-Shan Wu

  2020-06-05

  52192 5156 Pages:41-73

• An Application of the Level Set Method to Underwater Acoustic Propagation

  Sheri L. Martinelli

  2012-12-01

  42491 3986 Pages:1359-1391

• Transition Operator Approach to Seismic Full-Waveform Inversion in Arbitrary Anisotropic Elastic Media

  Morten Jakobsen, Ivan Pšenčík, Einar Iversen, Bjørn Ursin

  2020-06-05

  52204 4638 Pages:297-327

• On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

  Hailiang Liu, Terrance Pendleton

  2018-04-04

  40722 3134 Pages:1015-1041

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

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  760 139 Pages:1137-1163

• Direct Simulation Methods for Scalar-Wave Envelopes in Two-Dimensional Layered Random Media Based on the Small-Angle Scattering Approximation

  Tatsuhiko Saito, Haruo Sato, Tsutomu Takahashi

  2008-01-02

  40196 4361 Pages:63-84

• On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

  Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto

  2020-07-31

  38925 3881 Pages:1010-1042

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

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  9031 519 Pages:1383-1416

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51279 3210 Pages:1180-1214

• Development of a Combined Compact Difference Scheme to Simulate Soliton Collision in a Shallow Water Equation

  Ching-Hao Yu, Tony Wen-Hann Sheu

  2018-04-03

  40812 3210 Pages:603-631

• High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

  Cyril Agut, Julien Diaz, Abdelaaziz Ezziani

  2020-07-31

  39141 3995 Pages:691-708

• An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

  Nianyu Yi, Hailiang Liu

  2018-08-21

  46615 3277 Pages:747-772

• An Energy Absorbing Far-Field Boundary Condition for the Elastic Wave Equation

  N. Anders Petersson, Bjorn Sjogreen

  2009-06-01

  39383 3769 Pages:483-508

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  38491 4078 Pages:718-737

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise, B. T. Cox

  2018-09-17

  46846 3341 Pages:623-634

• Linear Wavefield Optimization Using a Modified Source

  Tariq Alkhalifah

  2020-06-05

  50289 4380 Pages:276-296

• High-SNR Staining Algorithm for One-Way Wave Equation-Based Modelling and Imaging

  Yaxing Li, Xiaofeng Jia

  2020-06-05

  51572 4613 Pages:187-206

• A Consistency Study of Coarse-Grained Dynamical Chains through a Nonlinear Wave Equation of Mixed Type

  Mingjie Liao, Ping Lin

  2020-07-30

  43535 3628 Pages:921-948