Search Results

• 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

  9024 503 Pages:1327-1357

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan, Kun Xu

  2013-09-05

  40705 4644 Pages:599-620

• On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

  Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti

  2014-08-05

  41216 4160 Pages:301-327

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen, Weihua Deng

  2014-08-03

  42382 4324 Pages:516-540

• Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

  Walter Boscheri, Michael Dumbser

  2013-11-05

  40598 3990 Pages:1174-1206

• A Compact High Order Space-Time Method for Conservation Laws

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2018-03-27

  37458 3907 Pages:441-480

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38518 4033 Pages:449-478

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  206 84 Pages:449-478

• Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

  Xing Ji, Kun Xu

  2020-06-05

  50090 3411 Pages:539-590

• 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

  39689 3899 Pages:718-763

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

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  26955 1829 Pages:30-70

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice, Michael Dumbser

  2018-10-11

  46924 3586 Pages:311-346

• 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

  28121 2047 Pages:1-29

• A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

  Chao Zhang, Qibing Li, Zhihui Li

  2026-04-03

  176 35 Pages:1620-1643

• High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

  Manuel A. Diaz, Min-Hung Chen, Jaw-Yen Yang

  2020-07-31

  38373 2976 Pages:1012-1049

• 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

  25112 2160 Pages:498-523

• On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime

  Xuanchun Dong, Zhiguo Xu, Xiaofei Zhao

  2014-08-03

  42500 4186 Pages:440-466

• An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

  Xiaolan Chen, Yongjun Yuan, Yong Zhang

  2026-01-15

  3214 321 Pages:119-146

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2012-11-01

  38735 4069 Pages:1503-1524

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

  Lin Fu

  2019-07-02

  48717 3326 Pages:973-1007

• High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

  Liang Pan, Kun Xu

  2020-08-27

  49140 3309 Pages:1321-1351

• 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

  43262 3364 Pages:1065-1089

• A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46354 4073 Pages:288-320

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

  Ruihan Guo, Yan Xu

  2019-02-25

  50364 5370 Pages:87-113

• 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

  50871 3663 Pages:1335-1364

• A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

  Jaw-Yen Yang, Bagus Putra Muljadi, Zhi-Hui Li, Han-Xin Zhang

  2014-07-05

  38930 4526 Pages:242-264

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du

  2018-04-08

  42274 4915 Pages:16-39 Open-access