Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I

Xudong Liu, Stanley Osher

Type: Article

Publication Date: 1996-04-01

Citations: 151

DOI: https://doi.org/10.1137/0733038

View Publication

Locations

SIAM Journal on Numerical Analysis - View

Similar Works

Action	Title	Year	Authors
+	Local maximum principle satisfying high‐order non‐oscillatory schemes	2015	Ritesh Kumar Dubey Biswarup Biswas Vikas Gupta
+	Local principle satisfying high order total variation diminishing approximation for non-sonic data extrema	2015	Ritesh Kumar Dubey Biswarup Biswas Vikas Gupta
+	An extension of essentially nonoscillatory shock-capturing schemes to multidimensional systems of conservation laws	1990	Jay Casper
+	Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws	1994	Antonio Marquina
+	An extension of essentially non-oscillatory shock-capturing schemes to multi-dimensional systems of conservation laws	2008	Jay Casper
+	Shock Capturing Schemes I: Scalar Conservation Laws	2022	Antony Jameson
+	On the convergence of a local third order shock capturing method for hyperbolic conservation laws	2016	Sergio Amat Vicente F. Candela
+	Local maximum principles in high-order non-oscillatory schemes for non-linear hyperbolic equations	2016	G. Capdeville
+	LOCAL PIECEWISEHYPERBOLIC RECONSTRUCTIONOFNUMERICAL FLUXES FORNONLINEARSCALARCONSERVATION LAWS	1994	Antonio Marquina
+	Dissipative issue of high-order shock capturing schemes with non-convex equations of state	2008	Olivier Heuzé Stéphane Jaouen Hervé Jourdren
+	Efficient Shock-Capturing Numerical Schemes Using the Approach of Minimised Integrated Square Difference Error for Hyperbolic Conservation Laws	2007	Appanah Rao Appadu Muhammad Zaid Dauhoo Soonil D.D.V. Rughooputh
+	A One Point Shock Capturing Kinetic Scheme for Hyperbolic Conservation Laws	2006	Dominic Chandar S. V. Raghurama Rao S. M. Deshpande
+	Maximum-Principle-Satisfying and Positivity-Preserving High Order Schemes for Conservation Laws	2011	Xiangxiong Zhang
+	Multi-dimensional shock capturing by nonconservative scheme	1992	Feng Xiao Takashi Yabe
+	Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products	2015	Philippe G. LeFloch
+ PDF Chat	An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction	2017	Florian Blachère Rodolphe Turpault
+	Flux limited dissipation schemes for high speed unsteady flows	1995	Chong Kim Antony Jameson
+	A class of high resolution shock capturing schemes for hyperbolic conservation laws	2007	Ritesh Kumar Dubey Mohan K. Kadalbajoo
+	On dispersion-controlled principles for non-oscillatory shock-capturing schemes	2004	Jiang Zonglin
+	Existence of a limiting profile of shock-wave type for second-order difference schemes	1984	I. V. Bezmenov

Works That Cite This (97)

Action	Title	Year	Authors
+	Local maximum principles in high-order non-oscillatory schemes for non-linear hyperbolic equations	2016	G. Capdeville
+ PDF Chat	Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods	2016	Hendrik Ranocha
+	Monotone high-order accurate compact scheme for quasilinear hyperbolic equations	2011	Б. В. Рогов M. N. Mikhailovskaya
+	Monotone high-accuracy compact running scheme for quasi-linear hyperbolic equations	2012	Б. В. Рогов M. N. Mikhailovskaya
+ PDF Chat	Arbitrarily High-Order Maximum Bound Preserving Schemes with Cut-off Postprocessing for Allen–Cahn Equations	2022	Jiang Yang Zhaoming Yuan Zhi Zhou
+ PDF Chat	High-Order Conservative Positivity-Preserving DG-Interpolation for Deforming Meshes and Application to Moving Mesh DG Simulation of Radiative Transfer	2020	Min Zhang Weizhang Huang Jianxian Qiu
+	A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws	2002	Doron Levy Gabriella Puppo Giovanni Russo
+	Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations	2020	Buyang Li Jiang Yang Zhi Zhou
+ PDF Chat	Варьируемое кусочно-интерполяционное решение уравнения переноса	2019	Яков Евсеевич Ромм Ya. E. Romm Г. А. Джанунц Г. А. Джанунц
+	Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps	2008	Jing‐Mei Qiu Chi‐Wang Shu

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	TVB boundary treatment for numerical solutions of conservation laws	1987	Chi‐Wang Shu
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher
+ PDF Chat	Stable and Entropy Satisfying Approximations for Transonic Flow Calculations	1980	Björn Engquist Stanley Osher
+ PDF Chat	On the convergence of difference approximations to scalar conservation laws	1988	Stanley Osher Eitan Tadmor
+ PDF Chat	TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems	1989	Bernardo Cockburn San‐Yih Lin Chi‐Wang Shu
+	Convergence of Generalized Muscl Schemes	1997	Stanley Osher
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov
+	Some results on uniformly high-order accurate essentially nonoscillatory schemes	1986	Ami Harten Stanley Osher Björn Engquist Sukumar Chakravarthy
+ PDF Chat	Numerical experiments on the accuracy of ENO and modified ENO schemes	1990	Chi‐Wang Shu
+	Uniformly High-Order Accurate Nonoscillatory Schemes. I	1987	Ami Harten Stanley Osher