Search Results

• Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

  Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen

  2021-04-30

  DOI:10.4208/cicp.OA-2020-0064

  50093 4593 pp. 97-123

• A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2021-12-06

  DOI:10.4208/cicp.OA-2021-0127

  49320 4002 pp. 94-130

• High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

  Weidong Zhao, Tao Zhou, Tao Kong

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0056

  41278 3130 pp. 808-834

• A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

  Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger

  2023-12-11

  DOI:10.4208/cicp.OA-2023-0112

  32982 2633 pp. 1306-1331

• High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

  Walter Boscheri, Raphaël Loubère

  2018-04-08

  DOI:10.4208/cicp.OA-2015-0024

  41592 4735 pp. 271-312

• 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 Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes

  Jian Kang, Xinliang Li

  2020-12-02

  DOI:10.4208/cicp.OA-2019-0112

  46703 3310 pp. 534-570

• Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

  Ravi Kannan, Zhijian Wang

  2012-12-01

  DOI:10.4208/cicp.270311.060711a

  40876 4741 pp. 247-260

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  DOI:10.4208/cicp.211210.280611a

  39356 4425 pp. 1439-1502

• Numerical Simulation of Free Surface by an Area-Preserving Level Set Method

  Tony W. H. Sheu, C. H. Yu

  2020-07-31

  DOI:10.4208/cicp.120510.150511s

  39328 4076 pp. 1347-1371

• High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

  Michel Fournie, Alain Rigal

  2011-09-01

  DOI:10.4208/cicp.230709.080710a

  38272 3893 pp. 994-1019

• Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

  Shi Jin, Hao Wu, Xu Yang

  2011-03-05

  DOI:10.4208/cicp.091009.160310s

  39443 4248 pp. 668-687

• A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

  Abdullah Shah, Hong Guo, Li Yuan

  2018-04-11

  41646 3528 pp. 712-729

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb, Jae-Hun Jung

  2018-04-11

  41169 3627 pp. 600-619

• A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

  Y. Xing & C.-W. Shu

  2018-03-22

  41949 4590 pp. 100-134

• Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  DOI:10.4208/cicp.OA-2023-0241

  23015 1396 pp. 908-942

• A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

  Xu Guo, Yutian Li, Hong Wang

  2018-09-17

  DOI:10.4208/cicp.OA-2018-0001

  47146 3347 pp. 531-556

• A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

  Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng

  2020-02-23

  DOI:10.4208/cicp.OA-2019-0066

  47570 3264 pp. 1201-1233

• Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

  Simin Shekarpaz, Fanhai Zeng, George Karniadakis

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0121

  29907 2823 pp. 1-37

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0176

  31775 2641 pp. 1079-1132

• Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

  Zhiliang Xu, Dinshaw S. Balsara, Huijing Du

  2018-04-04

  DOI:10.4208/cicp.050814.040915a

  41167 3205 pp. 841-880

• Lattice Boltzmann Schemes with Relative Velocities

  Francois Dubois, Tony Fevrier, Benjamin Graille

  2018-04-02

  DOI:10.4208/cicp.2014.m394

  38984 3111 pp. 1088-1112

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  DOI:10.4208/cicp.OA-2020-0036

  47831 3014 pp. 1536-1560

• Two Uniform Tailored Finite Point Schemes for the Two Dimensional Discrete Ordinates Transport Equations with Boundary and Interface Layers

  Houde Han, Min Tang, Wenjun Ying

  2014-03-05

  DOI:10.4208/cicp.130413.010813a

  42103 4292 pp. 797-826

• A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

  Hong Luo, Luqing Luo, Robert Nourgaliev

  2012-12-01

  DOI:10.4208/cicp.250911.030212a

  42217 287944 pp. 1495-1519

• Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

  Chaoqun Liu, Ping Lu, Maria Oliveira, Peng Xie

  2012-11-01

  DOI:10.4208/cicp.250110.160211a

  43999 3067001 pp. 1022-1042

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0189

  30326 2766 pp. 239-272