On high order strong stability preserving Runge-Kutta and multi step time discretizations

DOI10.1007/BF02728985zbMath1203.65166OpenAlexW4256717553MaRDI QIDQ617065

Publication date: 20 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02728985

zbMATH Keywords

Runge-Kutta methods high order accuracy time discretization strong stability preserving multi step methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian–Eulerian Methods, Lagrangian reduction and wave mean flow interaction, Neural network-based limiter with transfer learning, Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations, Gas kinetic principles in Navier-Stokes finite-volume solvers, Dual-solver research based on the coupling of flux reconstruction and finite volume methods, High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws, Heterogeneous multiscale method for high energy-density matter: connecting kinetic theory and molecular dynamics, Global entropy stability for a class of unlimited second-order schemes for 2D hyperbolic systems of conservation laws on unstructured meshes, RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions, FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment, High-order, large time-stepping integrators for scalar hyperbolic conservation laws, Improvement of the computational performance of a parallel unstructured WENO finite volume CFD code for implicit large eddy simulation, A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations, An arbitrary high-order spectral difference method for the induction equation, Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space, Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks, Very high order WENO schemes using efficient smoothness indicators, HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS, Seventh order compact-WENO scheme for hyperbolic conservation laws, Simulations of plasmas and fluids using anti-symmetric models, First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis, Boundedness and strong stability of Runge-Kutta methods, Density enhancement mechanism of upwind schemes for low Mach number flows, A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations, A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure, Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics, An interpolation based finite difference method on non-uniform grid for solving Navier-Stokes equations, Strong stability preserving transformed DIMSIMs, Seventh order Hermite WENO scheme for hyperbolic conservation laws, Local maximum principles in high-order non-oscillatory schemes for non-linear hyperbolic equations, A high-order monotonicity-preserving scheme for hyperbolic conservation laws, Hermite upwind positive schemes (HUPS) for non-linear hyperbolic systems of conservation laws, An improved non-linear weights for seventh-order weighted essentially non-oscillatory scheme, A study on the behaviour of high-order flux reconstruction method with different low-dissipation numerical fluxes for large eddy simulation, TVD-MOOD schemes based on implicit-explicit time integration, A finite volume method for a two-phase multicomponent polymer flooding, A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension, A kernel based high order ``explicit unconditionally stable scheme for time dependent Hamilton-Jacobi equations, Strong stability preserving general linear methods with Runge-Kutta stability, Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations, High-fidelity interface tracking in compressible flows: unlimited anchored adaptive level set, Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers, Characterizing strong stability preserving additive Runge-Kutta methods, A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities, High order strong stability preserving time discretizations, A study of viscous flux formulations for a \(p\)-multigrid spectral volume Navier Stokes solver, A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry, Solution property preserving reconstruction BVD+MOOD scheme for compressible Euler equations with source terms and detonations, New multi-implicit space-time spectral element methods for advection-diffusion-reaction problems, Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part, A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws, A stable interface-preserving reinitialization equation for conservative level set method, Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods, Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws, Strong stability preserving general linear methods, An arbitrary-order Runge-Kutta discontinuous Galerkin approach to reinitialization for banded conservative level sets, Strong-stability-preserving 7-stage Hermite-Birkhoff time-discretization methods, Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements, A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods, A novel discontinuous Galerkin model for two-phase flow in porous media using an improved IMPES method, Strong stability preserving second derivative general linear methods with Runge-Kutta stability, Very high order finite volume methods for cardiac electrophysiology, An efficient finite difference IFWENO-THINC hybrid scheme for capturing discontinuities, A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order, A novel roe solver for incompressible two-phase flow problems, Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes, Improved ninth order WENO scheme for hyperbolic conservation laws, Numerical issues in gas flow dynamics with hydraulic shocks using high order finite volume WENO schemes, Numerically Modeling Stochastic Lie Transport in Fluid Dynamics, A discontinuous Galerkin method for the Aw-Rascle traffic flow model on networks, High-order multiderivative time integrators for hyperbolic conservation laws, Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation, A Holistic Algorithmic Approach to Improving Accuracy, Robustness, and Computational Efficiency for Atmospheric Dynamics, Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models, Local discontinuous Galerkin methods for the Boussinesq coupled BBM system, Strong stability of singly-diagonally-implicit Runge-Kutta methods, A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction, Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme, A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations, A numerical comparison of the method of moments for the population balance equation, A coupled THINC/QQ and LS framework for simulating incompressible free-surface flows with surface tension, A unified discontinuous Galerkin framework for time integration, An accelerated method for nonlinear elliptic PDE, Computation of optimal monotonicity preserving general linear methods, A new class of strong stability preserving general linear methods, A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism, Discontinuous approximation of viscous two-phase flow in heterogeneous porous media, A high-order adaptive Cartesian cut-cell method for simulation of compressible viscous flow over immersed bodies, Kershaw closures for linear transport equations in slab geometry. II: High-order realizability-preserving discontinuous-Galerkin schemes, Optimal implicit strong stability preserving Runge-Kutta methods, Matched interface and boundary (MIB) for the implementation of boundary conditions in high-order central finite differences, Wave–bottom interaction and extreme wave statistics due to shoaling and de-shoaling of irregular long-crested wave trains over steep seabed changes, A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations, Strong stability preserving hybrid methods, A novel approach for numeric study of 2D biological population model, Strong stability preserving second derivative diagonally implicit multistage integration methods, Kernel based high order ``explicit unconditionally stable scheme for nonlinear degenerate advection-diffusion equations, An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction, Coupled THINC and level set method: a conservative interface capturing scheme with high-order surface representations, Analysis of slope limiters on unstructured triangular meshes, Time integration of unsteady nonhydrostatic equations with dual time stepping and multigrid methods, Compact high-order numerical schemes for scalar hyperbolic partial differential equations, Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle, Very-high-order WENO schemes, Strong stability preserving IMEX methods for partitioned systems of differential equations, A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh, Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition, Subcell limiting strategies for discontinuous Galerkin spectral element methods, Strong stability preserving second derivative general linear methods, Low-Mach number treatment for finite-volume schemes on unstructured meshes, STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS

Cites Work