Strong stability preserving second derivative diagonally implicit multistage integration methods
DOI10.1016/j.apnum.2019.11.001zbMath1439.65077OpenAlexW2985082303WikidataQ126824857 ScholiaQ126824857MaRDI QIDQ2301314
Afsaneh Moradi, J. Farzi, Ali Abdi
Publication date: 24 February 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2019.11.001
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical differentiation (65D25) Numerical integration (65D30) Computational methods for invariant manifolds of dynamical systems (37M21)
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- Construction of high-order quadratically stable second-derivative general linear methods for the numerical integration of stiff ODEs
- Explicit strong stability preserving multistage two-derivative time-stepping schemes
- A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme
- Sequential second derivative general linear methods for stiff systems
- High-order multiderivative time integrators for hyperbolic conservation laws
- An extension of general linear methods
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- High order strong stability preserving time discretizations
- Maximal order for second derivative general linear methods with Runge-Kutta stability
- Efficient second derivative methods with extended stability regions for non-stiff IVPs
- Strong stability preserving general linear methods
- Strong stability of singly-diagonally-implicit Runge-Kutta methods
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- High resolution schemes for hyperbolic conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Weighted essentially non-oscillatory schemes
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- Efficient Nordsieck second derivative general linear methods: construction and implementation
- Strong stability preserving transformed DIMSIMs
- Strong stability preserving general linear methods with Runge-Kutta stability
- On strong stability preserving time discretization methods
- Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A strong stability preserving analysis for explicit multistage two-derivative time-stepping schemes based on Taylor series conditions
- Strong stability preserving second derivative general linear methods
- Implementation of Nordsieck second derivative methods for stiff ODEs
- On the construction of second derivative diagonally implicit multistage integration methods for ODEs
- Two-derivative Runge-Kutta methods for PDEs using a novel discretization approach
- High-order linear multistep methods with general monotonicity and boundedness properties
- Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations
- Monotonicity for Runge-Kutta methods: inner product norms
- Derivative Riemann solvers for systems of conservation laws and ader methods
- Second derivative methods with RK stability
- Strong Stability-Preserving High-Order Time Discretization Methods
- Optimal Explicit Strong-Stability-Preserving General Linear Methods
- Strong Stability Preserving Two-step Runge–Kutta Methods
- On monotonicity and boundedness properties of linear multistep methods
- Spectral Methods for Time-Dependent Problems
- 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
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- Monotonicity-Preserving Linear Multistep 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
- A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
- STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
- A special stability problem for linear multistep methods