Search Results

• An Understanding of the Physical Solutions and the Blow-up Phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

  María J. Cáceres, Alejandro Ramos-Lora

  2021-07-01

  DOI:10.4208/cicp.OA-2020-0241

  48141 3150 pp. 820-850

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0088

  48871 3170 pp. 448-485

• A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0047

  45869 3383 pp. 747-766

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  DOI:10.4208/cicp.OA-2019-0197

  46446 4465 pp. 237-264

• High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

  Bangde Liu, Guang Lin

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0195

  62704 3396 pp. 1937-1969

• A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

  Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang

  2020-07-21

  DOI:10.4208/cicp.OA-2019-0037

  49446 3276 pp. 967-998

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  DOI:10.4208/cicp.OA-2018-0292

  50302 3700 pp. 1378-1412

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0208

  48716 3392 pp. 838-854

• Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

  Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia, Songhe Song

  2018-12-08

  DOI:10.4208/cicp.OA-2017-0212

  49851 3603 pp. 1127-1143

• Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

  Jiwei Zhang, Dongfang Li, Xavier Antoine

  2018-09-01

  DOI:10.4208/cicp.OA-2017-0195

  46816 5400 pp. 218-243

• Ground States and Energy Asymptotics of the Nonlinear Schrödinger Equation with a General Power Nonlinearity

  Xinran Ruan, Wenfan Yi

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.02

  43764 3268 pp. 1121-1142

• Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry

  Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova

  2018-08-21

  DOI:10.4208/cicp.OA-2016-0179c

  46635 3294 pp. 315-360

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao, Guanghui Hu

  2017-10-02

  DOI:10.4208/cicp.OA-2016-0200

  46553 3368 pp. 1049-1068

• A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

  Yunlong Yu, Yanzhong Yao, Guangwei Yuan, Xingding Chen

  2020-07-30

  DOI:10.4208/cicp.230815.030616a

  42408 3450 pp. 1405-1423

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2014-08-03

  DOI:10.4208/cicp.270713.280214a

  42396 4167 pp. 491-515

• IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

  Georgij Bispen, K. R. Arun, Maria Lukacova-Medvid'ova, Sebastian Noelle

  2014-08-03

  DOI:10.4208/cicp.040413.160114a

  42482 4055 pp. 307-347

• The Approximate Solutions of FPK Equations in High Dimensions for Some Nonlinear Stochastic Dynamic Systems

  Guo-Kang Er, Vai Pan Iu

  2011-10-01

  DOI:10.4208/cicp.140710.210111a

  39258 4169 pp. 1241-1256

• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

  M. J. Baines, M. E. Hubbard, P. K. Jimack

  2011-10-01

  DOI:10.4208/cicp.201010.040511a

  40073 5040 pp. 509-576 Open Access

• Parareal-Richardson Algorithm for Solving Nonlinear ODEs and PDEs

  Shulin Wu, Baochang Shi, Chengming Huang

  2009-06-01

  37511 4129 pp. 883-902

• A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

  Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice

  2018-04-11

  41868 3637 pp. 532-545

• Gyrofluid Simulation of Ion-Scale Turbulence in Tokamak Plasmas

  Jiquan Li, Y. Kishimoto

  2008-11-05

  36573 4292 pp. 1245-1257

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  DOI:10.4208/cicp.OA-2025-0089

  824 177 pp. 1332-1362

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0296

  785 122 pp. 1299-1331

• A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

  Jinhui Zhou, Yongkui Zou, Boyu Wang

  2026-02-15

  DOI:10.4208/cicp.OA-2025-0126

  4063 234 pp. 615-634

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0199

  26961 1831 pp. 30-70

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  DOI:10.4208/cicp.OA-2024-0023

  28125 2049 pp. 1-29

• A Time Variable Filter Approach for the Fluid-Fluid Interaction

  Wei Li, Pengzhan Huang, Yinnian He

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0108

  9078 557 pp. 1417-1451