Strong stability preserving hybrid methods

DOI10.1016/j.apnum.2008.03.030zbMath1163.65063OpenAlexW2032458651MaRDI QIDQ1012239

Cheng-Ming Huang

Publication date: 15 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.030

zbMATH Keywords

Burgers equationpositivitymethod of linesmultistep methodshigh orderhybrid methodstime discretizationtotal variation diminishing (TVD)numerical experiementsstrong stability preserving (SSP)

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension, An accurate method for real-time aircraft dynamics simulation based on predictor-corrector scheme, A new class of efficient one-step contractivity preserving high-order time discretization methods of order 5 to 14, Explicit strong stability preserving multistep Runge–Kutta methods, Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods, A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation, Strong-stability-preserving 7-stage Hermite-Birkhoff time-discretization methods, Contractivity-preserving explicit Hermite-Obrechkoff ODE solver of order 13, Special boundedness properties in numerical initial value problems, Strong-stability-preserving, Hermite-Birkhoff time-discretization based on \(k\) step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4, An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations, Strong Stability Preserving Time Discretizations: A Review

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• High resolution schemes for hyperbolic conservation laws
• Contractivity preserving explicit linear multistep methods
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Contractivity of Runge-Kutta methods
• Strong stability preserving properties of Runge--Kutta time discretization methods for linear constant coefficient operators
• The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods.
• Two barriers on strong-stability-preserving time discretization methods
• On strong stability preserving time discretization methods
• Contractivity in the numerical solution of initial value problems
• Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods
• High-order linear multistep methods with general monotonicity and boundedness properties
• Strong Stability-Preserving High-Order Time Discretization Methods
• Solving Ordinary Differential Equations I
• High Resolution Schemes and the Entropy Condition
• Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Total-Variation-Diminishing Time Discretizations
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Total variation diminishing Runge-Kutta schemes
• Monotonicity-Preserving Linear Multistep Methods
• High-Order Strong-Stability-Preserving Runge--Kutta Methods with Downwind-Biased Spatial Discretizations
• Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
• An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
• Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
• Global optimization of explicit strong-stability-preserving Runge-Kutta methods