Search Results

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0123

  12321 905 pp. 420-456

• Direct Calculation of Permeability by High-Accurate Finite Difference and Numerical Integration Methods

  Yi Wang, Shuyu Sun

  2018-04-04

  DOI:10.4208/cicp.210815.240316a

  40085 3263 pp. 405-440

• 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

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  DOI:10.4208/cicp.OA-2020-0119

  48592 3439 pp. 979-1029

• Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

  Weizhu Bao, Qinglin Tang, Yong Zhang

  2020-07-31

  DOI:10.4208/cicp.scpde14.37s

  41926 3262 pp. 1141-1166

• Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

  Weizhu Bao, Yue Feng, Wenfan Yi

  2019-08-27

  DOI:10.4208/cicp.2019.js60.03

  48248 3530 pp. 1307-1334

• The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

  I. S. Popov

  2025-09-18

  DOI:10.4208/cicp.OA-2024-0202

  4680 402 pp. 1237-1330

• Mechanics-Based Solution Verification for Porous Media Models

  M. Shabouei, K. B. Nakshatrala

  2020-07-30

  DOI:10.4208/cicp.OA-2016-0007

  42257 3447 pp. 1127-1162

• A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

  Zhaoqin Huang, Xia Yan, Jun Yao

  2014-12-08

  DOI:10.4208/cicp.050413.170314a

  39616 4342 pp. 799-816

• Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

  Manuel Jesus Castro Diaz, Yuanzhen Cheng, Alina Chertock, Alexander Kurganov

  2014-11-08

  DOI:10.4208/cicp.180513.230514a

  41886 4225 pp. 1323-1354

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44353 4617 pp. 242-272

• 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

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall, Romain Teyssier

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0071

  46256 5285 pp. 1-34

• Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

  Jialin Hong, Linghua Kong

  2010-07-01

  DOI:10.4208/cicp.2009.09.057

  39997 3720 pp. 613-630

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  DOI:10.4208/cicp.OA-2022-0187

  34704 2699 pp. 1215-1246

• Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates.

  Weizhu Bao, Yongyong Cai

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.14

  47224 3342 pp. 899-965

• Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

  Gang Bao, Guanghui Hu, Di Liu

  2018-04-03

  DOI:10.4208/cicp.190115.200715a

  41774 4779 pp. 1-23

• Numerical Bifurcation Methods and Their Application to Fluid Dynamics: Analysis Beyond Simulation

  Henk A. Dijkstra, Fred W. Wubs, Andrew K. Cliffe, Eusebius Doedel, Ioana F. Dragomirescu, Bruno Eckhardt, Alexander Yu. Gelfgat, Andrew L. Hazel, Valerio Lucarini, Andy G. Salinger, Erik T. Phipps, Juan Sanchez-Umbria, Henk Schuttelaars, Laurette S. Tuckerman, Uwe Thiele

  2014-01-05

  DOI:10.4208/cicp.240912.180613a

  41084 4966 pp. 1-45

• Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations

  Jin Zhao

  2020-12-02

  DOI:10.4208/cicp.OA-2019-0192

  48098 3344 pp. 420-444

• High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

  D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen

  2018-04-03

  DOI:10.4208/cicp.211014.040915a

  41618 3327 pp. 273-300

• 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

• 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

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang, Rong Zeng

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.13

  43382 3317 pp. 1259-1278

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq, Y. Xing

  2020-07-30

  DOI:10.4208/cicp.060414.190914a

  40066 3032 pp. 510-541

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  DOI:10.4208/cicp.OA-2022-0130

  37889 3083 pp. 1437-1473

• Effect of Element Distortion on the Numerical Dispersion of Spectral Element Methods

  S. P. Oliveira, G. Seriani

  2011-09-01

  DOI:10.4208/cicp.071109.080710a

  38613 3939 pp. 937-958

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0114

  9027 505 pp. 1327-1357