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

  Chong Sun, Yinhua Xia

  2019-04-04

  46204 3379 Pages:531-557

• 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

  25120 2160 Pages:498-523

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3802 363 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

  39356 4425 Pages:1439-1502

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

  David Coulette, Clémentine Courtès, Emmanuel Franck, Laurent Navoret

  2020-02-23

  49208 3366 Pages:976-1013

• A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow

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

  2022-10-28

  45921 3235 Pages:1156-1178

• Evaluation of Three Lattice Boltzmann Models for Particulate Flows

  Liang Wang, Zhaoli Guo, Baochang Shi, Chuguang Zheng

  2013-08-05

  43446 4599 Pages:1151-1172

• On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

  Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause, Nikolaus A. Adams

  2018-08-21

  54139 3308 Pages:846-876

• Lattice Boltzmann Schemes with Relative Velocities

  Francois Dubois, Tony Fevrier, Benjamin Graille

  2018-04-02

  38984 3111 Pages:1088-1112

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

  S. Qamar & G. Warnecke

  2006-01-01

  208 85 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

  38521 4034 Pages:449-478

• A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

  Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice

  2018-04-11

  41868 3637 Pages:532-545

• Study of Simple Hydrodynamic Solutions with the Two-Relaxation-Times Lattice Boltzmann Scheme

  Irina Ginzburg, Frederik Verhaeghe, Dominique d'Humieres

  2008-03-01

  41859 4345 Pages:519-581

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48592 3439 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

  47000 4867 Pages:427-478

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

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  48912 3382 Pages:591-620

• On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations

  François Dubois, Pierre Lallemand

  2023-10-07

  34708 2747 Pages:613-671

• Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State

  Minghao Sun, Hujian Zuo, Weifeng Zhao, Ping Lin

  2026-05-01

  232 55 Pages:1589-1619

• Relaxation Schemes for the $M_1$ Model with Space-Dependent Flux: Application to Radiotherapy Dose Calculation

  Teddy Pichard, Denise Aregba-Driollet, Stéphane Brull, Bruno Dubroca, Martin Frank

  2018-04-03

  40156 4399 Pages:168-191

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34704 2699 Pages:1215-1246

• A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy

  Teddy Pichard, Stephane Brull, Bruno Dubroca

  2018-12-08

  48231 3436 Pages:1097-1126

• 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

  41592 4735 Pages:271-312

• Elements of the Lattice Boltzmann Method I: Linear Advection Equation

  Iliya V. Karlin, Santosh Ansumali, Christos E. Frouzakis, Shyam Sunder Chikatamarla

  2006-01-01

  39763 4063 Pages:616-655

• Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes

  Weidong Li, Li-Shi Luo

  2018-04-04

  39768 3219 Pages:301-324

• A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes

  Wen-Qiang Hu, Zhi-Hui Li, Ao-Ping Peng, Xin-Yu Jiang

  2021-04-30

  48834 4354 Pages:144-189

• Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

  Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand

  2022-03-03

  45571 3194 Pages:816-868