Search Results

• 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

• Nonlinear Reduced DNN Models for State Estimation

  Wolfgang Dahmen, Min Wang, Zhu Wang

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0217

  42942 3772 pp. 1-40

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0164

  45681 3293 pp. 1402-1433

• A New Mapped WENO Scheme Using Order-Preserving Mapping

  Ruo Li, Wei Zhong

  2022-01-27

  DOI:10.4208/cicp.OA-2021-0150

  43783 3302 pp. 548-592

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0074

  49556 4334 pp. 60-93 Open Access

• A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations

  Marco Caliari, Simone Zuccher

  2021-03-24

  DOI:10.4208/cicp.OA-2020-0131

  47949 3309 pp. 1336-1364

• 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

• A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

  Yonghong Hao, Qiumei Huang, Cheng Wang

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0074

  47424 3536 pp. 905-929

• Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study

  Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch

  2020-12-02

  DOI:10.4208/cicp.OA-2020-0033

  46644 3273 pp. 472-509

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0164

  151550 6990 pp. 2002-2041

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0187

  67430 3706 pp. 1886-1906

• Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

  Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang

  2020-08-27

  DOI:10.4208/cicp.OA-2019-0175

  50340 3350 pp. 1389-1414

• Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion

  Yu Geng, Kristopher A. Innanen, Wenyong Pan

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0087

  51907 4697 pp. 228-248

• 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

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  DOI:10.4208/cicp.OA-2019-0029

  49898 3699 pp. 1470-1484

• 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

• Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

  Gayaz Khakimzyanov, Denys Dutykh

  2019-12-07

  DOI:10.4208/cicp.OA-2018-0294

  45681 3259 pp. 321-378

• Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

  Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng

  2019-08-27

  DOI:10.4208/cicp.2019.js60.08

  48067 3500 pp. 1471-1489

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 1335-1364

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  DOI:10.4208/cicp.OA-2018-0176

  48721 3327 pp. 973-1007

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li, Leevan Ling

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0182

  45995 3119 pp. 785-808

• A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

  Yulong Du, Li Yuan, Yahui Wang

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0254

  46446 3335 pp. 768-784

• A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

  Lin Fu, Xiangyu Hu, Nikolaus A. Adams

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0145

  49437 3348 pp. 311-345

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo, Yan Xu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0034

  50368 5375 pp. 87-113

• A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

  Si Gao, Tiegang Liu

  2018-11-09

  DOI:10.4208/cicp.OA-2017-0182

  46354 3629 pp. 781-811

• The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

  Binbin Du, Jianguo Huang

  2018-11-09

  DOI:10.4208/cicp.OA-2017-0235

  47269 3547 pp. 752-780

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang, Jia Zhao

  2018-11-09

  DOI:10.4208/cicp.OA-2017-0259

  50256 3549 pp. 703-728