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• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3800 361 Pages:953-986

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

  Irina Ginzburg

  2012-11-01

  39348 4422 Pages:1439-1502

• A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow

  Yong Zhao, Gerald G. Pereira, Shibo Kuang, Zhenhua Chai, Baochang Shi

  2022-10-28

  45917 3235 Pages:1156-1178

• New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

  Fayssal Benkhaldoun, Mohammed Seaid

  2008-04-01

  38818 4377 Pages:820-837

• Extended Hydrodynamic Models and Multigrid Solver of a Silicon Diode Simulation

  Zhicheng Hu, Ruo Li, Zhonghua Qiao

  2018-04-04

  41024 3272 Pages:551-582

• Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

  Chong Sun, Yinhua Xia

  2019-04-04

  46200 3377 Pages:531-557

• Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

  S. A. Hosseini, B. Dorschner, I. V. Karlin

  2023-02-20

  44821 3905 Pages:39-56 Open-access

• 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

• 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

• An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  48904 3381 Pages:591-620

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

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  23007 1393 Pages:908-942

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48590 3437 Pages:979-1029

• Two-Relaxation-Time Lattice Boltzmann Scheme: About Parametrization, Velocity, Pressure and Mixed Boundary Conditions

  Irina Ginzburg, Frederik Verhaeghe & Dominique d'Humières

  2018-03-24

  46996 4865 Pages:427-478

• Implicit Discontinuous Galerkin Method for RANS Simulation Utilizing Pointwise Relaxation Algorithm

  Kanako Yasue, Michiko Furudate, Naofumi Ohnishi, Keisuke Sawada

  2010-07-01

  40884 4099 Pages:510-533

• An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

  Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu

  2024-12-02

  16306 1148 Pages:1219-1261

• Explicit Computation of Robin Parameters in Optimized Schwarz Waveform Relaxation Methods for Schrödinger Equations Based on Pseudodifferential Operators

  Xavier Antoine, Emmanuel Lorin

  2020-02-23

  47806 3359 Pages:1032-1052

• Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes

  David Coulette, Clémentine Courtès, Emmanuel Franck, Laurent Navoret

  2020-02-23

  49205 3365 Pages:976-1013

• Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

  Shu-Lin Wu, Chengming Huang

  2018-10-11

  44507 3500 Pages:390-415

• Derivation of Hydrodynamics for Multi-Relaxation Time Lattice Boltzmann Using the Moment Approach

  Goetz Kaehler, Alexander J. Wagner

  2020-07-31

  41052 4212 Pages:614-628

• A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu

  2025-08-08

  4650 476 Pages:467-490

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37727 2803 Pages:1432-1465

• Lattice Boltzmann Schemes with Relative Velocities

  Francois Dubois, Tony Fevrier, Benjamin Graille

  2018-04-02

  38981 3111 Pages:1088-1112

• Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

  Shu-Lin Wu, Ting-Zhu Huang

  2013-09-05

  39634 4094 Pages:780-800

• 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

• 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

• The Convex Relaxation Method on Deconvolution Model with Multiplicative Noise

  Yumei Huang, Michael Ng, Tieyong Zeng

  2013-08-05

  43825 4348 Pages:1066-1092

• Simulation of Power-Law Fluid Flows in Two-Dimensional Square Cavity Using Multi-Relaxation-Time Lattice Boltzmann Method

  Qiuxiang Li, Ning Hong, Baochang Shi, Zhenhua Chai

  2014-01-05

  40642 4809 Pages:265-284