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Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators
Minghua Chen, Weihua Deng
2014-08-03
DOI:10.4208/cicp.120713.280214a
42385
4327
pp. 516-540
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
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
A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws
Raphael Loubere, Michael Dumbser, Steven Diot
2014-12-08
DOI:10.4208/cicp.181113.140314a
39691
3901
pp. 718-763
A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh
Marc R. J. Charest, Clinton P. T. Groth, Pierre Q. Gauthier
2018-04-02
DOI:10.4208/cicp.091013.281114a
37743
3133
pp. 615-656
High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations
Sebastien Jund, Stephanie Salmon, Eric Sonnendruecker
2012-11-01
DOI:10.4208/cicp.100310.230511a
42244
3992
pp. 863-892
A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes
Chao Zhang, Qibing Li, Zhihui Li
2026-04-03
DOI:10.4208/cicp.OA-2024-0292
233
38
pp. 1620-1643
A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes
Jun Zhu, Jianxian Qiu
2020-07-30
DOI:10.4208/cicp.OA-2018-0156
44990
3885
pp. 897-920
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes
Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
2022-03-03
DOI:10.4208/cicp.OA-2021-0126
47991
3249
pp. 771-815
High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations
Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
2019-08-27
DOI:10.4208/cicp.2019.js60.15
47370
3378
pp. 1530-1574
A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method
Fang Qing, Xijun Yu, Zupeng Jia, Meilan Qiu, Xiaolong Zhao
2020-08-27
DOI:10.4208/cicp.OA-2019-0207
50251
3290
pp. 1464-1501
A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations
Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang
2024-03-13
DOI:10.4208/cicp.OA-2023-0034
25785
2193
pp. 524-552
High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions
Liang Pan, Kun Xu
2020-08-27
DOI:10.4208/cicp.OA-2019-0141
49148
3309
pp. 1321-1351
Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms
Lele Liu, Hong Zhang, Xu Qian, Songhe Song
2024-03-13
DOI:10.4208/cicp.OA-2023-0143
25120
2160
pp. 498-523
High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres
Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
2021-07-01
DOI:10.4208/cicp.OA-2020-0153
49547
3302
pp. 666-708
A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media
Jun Yang, Wei Cai, Xiaoping Wu
2018-04-09
DOI:10.4208/cicp.OA-2016-0089
43267
3366
pp. 1065-1089
A CFD-Aided Galerkin Method for Global Linear Instability Analysis
Shengqi Zhang, Zhenhua Xia, Shiyi Chen
2020-11-26
DOI:10.4208/cicp.OA-2020-0041
46059
4709
pp. 128-147
Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting
Meng Li, Yihang Guo, Jingjiang Bi
2025-08-23
DOI:10.4208/cicp.OA-2024-0157
6444
481
pp. 729-765
High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation
Cyril Agut, Julien Diaz, Abdelaaziz Ezziani
2020-07-31
DOI:10.4208/cicp.311209.051110s
39142
3998
pp. 691-708
Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations
Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro, Knut Waagan
2018-03-27
DOI:10.4208/cicp.171109.070510a
38050
3803
pp. 324-362
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
Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes
Walter Boscheri, Michael Dumbser
2013-11-05
DOI:10.4208/cicp.181012.010313a
40600
3991
pp. 1174-1206
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
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
Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics
Richen Li, Qingbiao Wu, Shengfeng Zhu
2021-05-25
DOI:10.4208/cicp.OA-2020-0018
48472
3361
pp. 396-422
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 High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows
Dominik Dierkes, Florian Kummer, Dominik Plümacher
2021-04-30
DOI:10.4208/cicp.OA-2019-0204
46358
4076
pp. 288-320
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