Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
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Giovanni Russo | Sebastiano Boscarino | Seok-Bae Yun | Seung Yeon Cho | G. Russo | S. Boscarino | S. Cho | S. Yun
[1] Oliver Kolb,et al. Maximum Principle Satisfying CWENO Schemes for Nonlocal Conservation Laws , 2019, SIAM J. Sci. Comput..
[2] Gabriella Puppo,et al. CWENO: Uniformly accurate reconstructions for balance laws , 2016, Math. Comput..
[3] Giovanni Russo,et al. On a Class of Uniformly Accurate IMEX Runge--Kutta Schemes and Applications to Hyperbolic Systems with Relaxation , 2009, SIAM J. Sci. Comput..
[4] Oliver Kolb,et al. On the Full and Global Accuracy of a Compact Third Order WENO Scheme , 2014, SIAM J. Numer. Anal..
[5] Giovanni Russo,et al. High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation , 2019, Communications in Computational Physics.
[6] Xiangxiong Zhang,et al. Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[7] Gabriella Puppo,et al. Cool WENO schemes , 2017, Computers & Fluids.
[8] E. Sonnendrücker,et al. Comparison of Eulerian Vlasov solvers , 2003 .
[9] Jing-Mei Qiu,et al. Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation , 2011 .
[10] J. Broadwell,et al. Shock Structure in a Simple Discrete Velocity Gas , 1964 .
[11] Wang Chi-Shu,et al. Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws , 1997 .
[12] Bruno Després,et al. Algorithms For Positive Polynomial Approximation , 2019, SIAM J. Numer. Anal..
[13] Jochen W. Schmidt,et al. Positivity of cubic polynomials on intervals and positive spline interpolation , 1988 .
[14] M. Carpenter,et al. Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations , 2003 .
[15] Lorenzo Pareschi,et al. Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation , 2010, 1009.2757.
[16] Gabriella Puppo,et al. A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws , 2002, SIAM J. Sci. Comput..
[17] Wai-Sun Don,et al. High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws , 2011, J. Comput. Phys..
[18] Roger Alexander,et al. Solving Ordinary Differential Equations I: Nonstiff Problems (E. Hairer, S. P. Norsett, and G. Wanner) , 1990, SIAM Rev..
[19] Xiangxiong Zhang,et al. On maximum-principle-satisfying high order schemes for scalar conservation laws , 2010, J. Comput. Phys..
[20] Mostafa Abbaszadeh,et al. The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations , 2017, Alexandria Engineering Journal.
[21] Tao Xiong,et al. Conservative Multi-dimensional Semi-Lagrangian Finite Difference Scheme: Stability and Applications to the Kinetic and Fluid Simulations , 2019, J. Sci. Comput..
[22] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[23] Guy Capdeville,et al. A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes , 2008, J. Comput. Phys..
[24] Mengping Zhang,et al. On the positivity of linear weights in WENO approximations , 2009 .
[25] P. Bertrand,et al. Conservative numerical schemes for the Vlasov equation , 2001 .
[26] Giovanni Russo,et al. Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation , 1997 .
[27] Shi Jin. ASYMPTOTIC PRESERVING (AP) SCHEMES FOR MULTISCALE KINETIC AND HYPERBOLIC EQUATIONS: A REVIEW , 2010 .
[28] Gabriella Puppo,et al. Compact Central WENO Schemes for Multidimensional Conservation Laws , 1999, SIAM J. Sci. Comput..
[29] Michael Dumbser,et al. Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes , 2017, SIAM J. Sci. Comput..
[30] C. Cercignani. The Boltzmann equation and its applications , 1988 .
[31] Z. Xin,et al. The relaxation schemes for systems of conservation laws in arbitrary space dimensions , 1995 .
[32] Roberto Ferretti,et al. Stability of Some Generalized Godunov Schemes With Linear High-Order Reconstructions , 2013, J. Sci. Comput..
[33] William E. Schiesser,et al. Linear and nonlinear waves , 2009, Scholarpedia.
[34] Chi-Wang Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .
[35] José A. Carrillo,et al. Nonoscillatory Interpolation Methods Applied to Vlasov-Based Models , 2007, SIAM J. Sci. Comput..
[36] Chi-Wang Shu,et al. Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow , 2011, J. Comput. Phys..
[37] G. Russo,et al. Central WENO schemes for hyperbolic systems of conservation laws , 1999 .
[38] Roberto Ferretti,et al. A Weighted Essentially Nonoscillatory, Large Time-Step Scheme for Hamilton-Jacobi Equations , 2005, SIAM J. Sci. Comput..
[39] Eric Sonnendrücker,et al. Conservative semi-Lagrangian schemes for Vlasov equations , 2010, J. Comput. Phys..
[40] C. D. Levermore,et al. Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms , 1996 .
[41] C. D. Levermore,et al. Hyperbolic conservation laws with stiff relaxation terms and entropy , 1994 .