Search Results

• A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

  Yanni Gao, Shuai Wang, Guangwei Yuan, Xudeng Hang

  2019-02-25

  DOI:10.4208/cicp.OA-2017-0261

  46001 5145 pp. 135-159

• A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

  Fan Zhang, Hansong Tang, Jian Cheng, Tiegang Liu

  2018-12-08

  DOI:10.4208/cicp.OA-2018-0051

  48846 3547 pp. 988-1009

• 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

  DOI:10.4208/cicp.OA-2016-0141

  41690 3362 pp. 742-764

• An Adaptive Finite Element Method with Hybrid Basis for Singularly Perturbed Nonlinear Eigenvalue Problems

  Ye Li

  2018-04-03

  DOI:10.4208/cicp.021114.140715a

  41433 3262 pp. 442-472

• Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws

  Alexandre Birolleau, Gael Poette, Didier Lucor

  2014-07-06

  DOI:10.4208/cicp.240113.071113a

  42167 5498 pp. 1-34

• Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

  Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula, Xia Cui

  2013-11-05

  DOI:10.4208/cicp.190612.010313a

  40771 3998 pp. 1287-1303

• Subspace Trajectory Piecewise-Linear Model Order Reduction for Nonlinear Circuits

  Xiaoda Pan, Hengliang Zhu, Fan Yang, Xuan Zeng

  2013-09-05

  DOI:10.4208/cicp.070512.051112a

  39336 3950 pp. 639-663

• Analysis and Efficient Solution of Stationary Schrödinger Equation Governing Electronic States of Quantum Dots and Rings in Magnetic Field

  Marta M. Betcke, Heinrich Voss

  2012-11-01

  DOI:10.4208/cicp.110910.250511a

  38811 4025 pp. 1591-1617

• Numerical Resolution Near t=0 of Nonlinear Evolution Equations in the Presence of Corner Singularities in Space Dimension 1

  Qingshan Chen, Zhen Qin, Roger Temam

  2011-03-05

  DOI:10.4208/cicp.110909.160310s

  38982 4009 pp. 568-586

• Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

  Eveline Rosseel, Herbert De Gersem, Stefan Vandewalle

  2010-08-01

  DOI:10.4208/cicp.220509.200110a

  43311 4869 pp. 947-975 Open Access

• Recent Developments in Numerical Techniques for Transport-Based Medical Imaging Methods

  Kui Ren

  2010-08-01

  DOI:10.4208/cicp.220509.200110a

  43354 4872 pp. 1-50 Open Access

• Progress of Pattern Dynamics in Plasma Waves

  B. Qiao, C. T. Zhou, X. T. He, C. H. Lai

  2008-11-05

  37118 4288 pp. 1129-1150

• Solutions of the 1D Coupled Nonlinear Schrödinger Equations by the CIP-BS Method

  Takayuki Utsumi, Takayuki Aoki, James Koga, Mitsuru Yamagiwa

  2018-03-24

  39240 4159 pp. 261-275

• An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

  Xiaolan Chen, Yongjun Yuan, Yong Zhang

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0220

  3221 323 pp. 119-146

• A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

  Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao

  2024-10-29

  DOI:10.4208/cicp.OA-2024-0074

  17992 1206 pp. 996-1020

• An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  DOI:10.4208/cicp.OA-2021-0242

  19779 1616 pp. 521-550

• 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

  DOI:10.4208/cicp.OA-2022-0299

  9635 584 pp. 975-1007

• Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

  Tao Kong, Weidong Zhao, Tao Zhou

  2020-07-30

  DOI:10.4208/cicp.240515.280815a

  39424 3389 pp. 1482-1503

• Theoretical and Numerical Modeling of Nonlinear Electromechanics with Applications to Biological Active Media

  Alessio Gizzi, Christian Cherubini, Simonetta Filippi, Anna Pandolfi

  2018-04-02

  DOI:10.4208/cicp.091213.260614a

  42658 4681 pp. 93-126

• An Improved Tokamak Sawtooth Benchmark for 3D Nonlinear MHD

  J. A. Breslau, C. R. Sovinec, S. C. Jardin

  2008-09-05

  39153 3864 pp. 647-658

• A Uniformly Convergent Numerical Method for Singularly Perturbed Nonlinear Eigenvalue Problems

  Weizhu Bao, Ming-Huang Chai

  2008-04-01

  38678 4189 pp. 135-160

• 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

  DOI:10.4208/cicp.OA-2023-0232

  24109 2140 pp. 816-858

• A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

  Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt

  2022-10-28

  DOI:10.4208/cicp.OA-2022-0135

  47608 3514 pp. 1039-1060

• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0197

  45192 3299 pp. 1489-1524

• High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

  Yupeng Ren, Yulong Xing, Jianxian Qiu

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0079

  47625 3925 pp. 154-187

• 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

  DOI:10.4208/cicp.OA-2020-0226

  47792 3143 pp. 1150-1184

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0198

  48629 3229 pp. 1037-1060