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

  DOI:10.4208/cicp.OA-2021-0049

  43060 3778 pp. 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

  DOI:10.4208/cicp.OA-2023-0266

  15998 1216 pp. 1262-1306

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

  Zhennan Zhou, Giovanni Russo

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0131

  47494 5547 pp. 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

  DOI:10.4208/cicp.OA-2023-0025

  20233 1592 pp. 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

  DOI:10.4208/cicp.OA-2018-0157

  45886 3427 pp. 579-598

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

  Tao Tang, Tao Zhou

  2010-08-01

  DOI:10.4208/cicp.060109.130110a

  40348 4696 pp. 226-248

• Inverse Obstacle Scattering in an Unbounded Structure

  Gang Bao, Huayan Liu, Peijun Li, Lei Zhang

  2019-08-27

  DOI:10.4208/cicp.2019.js60.01

  49129 3718 pp. 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

  DOI:10.4208/cicp.OA-2017-0074

  67902 5550 pp. 123-151

• Geometric Numerical Integration for Peakon b-Family Equations

  Wenjun Cai, Yajuan Sun, Yushun Wang

  2018-04-03

  DOI:10.4208/cicp.171114.140715a

  40082 4544 pp. 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

  DOI:10.4208/cicp.OA-2018-0108

  52199 5163 pp. 41-73

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

  Sheri L. Martinelli

  2012-12-01

  DOI:10.4208/cicp.190311.231211a

  42496 3991 pp. 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

  DOI:10.4208/cicp.OA-2018-0197

  52215 4644 pp. 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

  DOI:10.4208/cicp.130115.110915a

  40725 3136 pp. 1015-1041

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

  Guanhang Lei, Zhen Lei, Lei Shi

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0274

  792 146 pp. 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

  40198 4364 pp. 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

  38928 3882 pp. 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

  DOI:10.4208/cicp.OA-2023-0327

  9043 520 pp. 1383-1416

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  DOI:10.4208/cicp.OA-2021-0216

  51284 3214 pp. 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

  DOI:10.4208/cicp.290914.030615a

  40814 3213 pp. 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

  DOI:10.4208/cicp.311209.051110s

  39142 3998 pp. 691-708

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

  Nianyu Yi, Hailiang Liu

  2018-08-21

  DOI:10.4208/cicp.OA-2016-0189

  46617 3282 pp. 747-772

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

  N. Anders Petersson, Bjorn Sjogreen

  2009-06-01

  39385 3771 pp. 483-508

• Simulation of Decoherence by Averaged Semiquantum Method

  Zhuo Wang, Quanlin Jie, Shi-Hui Zhang

  2010-07-01

  DOI:10.4208/cicp.2009.09.044

  38493 4080 pp. 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

  DOI:10.4208/cicp.OA-2017-0192

  46850 3342 pp. 623-634

• Linear Wavefield Optimization Using a Modified Source

  Tariq Alkhalifah

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0144

  50298 4386 pp. 276-296

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

  Yaxing Li, Xiaofeng Jia

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0122

  51580 4616 pp. 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

  DOI:10.4208/cicp.OA-2018-0206

  43540 3631 pp. 921-948