Monotonicity-Preserving Linear Multistep Methods
From MaRDI portal
Publication:4443604
DOI10.1137/S0036142902406326zbMath1050.65070OpenAlexW1986100983MaRDI QIDQ4443604
Steven J. Ruuth, Raymond J. Spiteri, Willem H. Hundsdorfer
Publication date: 18 January 2004
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142902406326
monotonicitynumerical examplespositivitylinear multistep methodsstrong stabilitytotal variation diminishing (TVD)
Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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
Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space, Implicit-explicit methods based on strong stability preserving multistep time discretizations, Qualitatively stability of nonstandard 2-stage explicit Runge-Kutta methods of order two, A high-order time formulation of the RBC schemes for unsteady compressible Euler equations, A flexible genuinely nonlinear approach for nonlinear wave propagation, breaking and run-up, IMEX extensions of linear multistep methods with general monotonicity and boundedness properties, Strong stability preserving transformed DIMSIMs, Positivity for explicit two-step methods in linear multistep and one-leg form, An extension and analysis of the Shu-Osher representation of Runge-Kutta methods, Strong Stability Preserving Integrating Factor Runge--Kutta Methods, A GPU-accelerated adaptive discontinuous Galerkin method for level set equation, Strong stability preserving general linear methods with Runge-Kutta stability, Implicit-Explicit Linear Multistep Methods for Stiff Kinetic Equations, On high order strong stability preserving Runge-Kutta and multi step time discretizations, Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions, A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities, Multirate explicit Adams methods for time integration of conservation laws, High order strong stability preserving time discretizations, Transformed implicit-explicit second derivative diagonally implicit multistage integration methods with strong stability preserving explicit part, Discrete gradient-zeroing neural network algorithms for handling future quadratic program as well as robot arm via ten-instant formula, Strong-stability-preserving 3-stage Hermite-Birkhoff time-discretization methods, Strong stability preserving general linear methods, RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions, Stepsize restrictions for boundedness and monotonicity of multistep methods, Monotonicity for Genuinely Multi-step Methods: Results and Issues From a Simple Lattice Boltzmann Scheme, New options for explicit all Mach number schemes by suitable choice of time integration methods, Strong stability preserving second derivative general linear methods with Runge-Kutta stability, Positivity preserving schemes for the fractional Klein-Kramers equation with boundaries, Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation, Special boundedness properties in numerical initial value problems, Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods, Strong-stability-preserving additive linear multistep methods, Multirate timestepping methods for hyperbolic conservation laws, Exact optimal values of step-size coefficients for boundedness of linear multistep methods, Global optimization of explicit strong-stability-preserving Runge-Kutta methods, Unconditionally strong stability preserving extensions of the TR-BDF2 method, A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method, High-order linear multistep methods with general monotonicity and boundedness properties, An accelerated method for nonlinear elliptic PDE, Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures, An improvement on the positivity results for 2-stage explicit Runge-Kutta methods, Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data, Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations, Strong stability preserving integrating factor two-step Runge-Kutta methods, On monotonicity and boundedness properties of linear multistep methods, Strong stability preserving hybrid methods, Strong stability preserving second derivative diagonally implicit multistage integration methods, Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size, An admissibility and asymptotic preserving scheme for systems of conservation laws with source term on 2D unstructured meshes with high-order MOOD reconstruction, An integro‐differential model for non‐Fickian tracer transport in porous media: validation and numerical simulation, Strong Stability Preserving Time Discretizations: A Review, High order semi-implicit multistep methods for time-dependent partial differential equations, Strong stability preserving IMEX methods for partitioned systems of differential equations, Strong stability preserving second derivative general linear methods, Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver, Analysis of adaptive BDF2 scheme for diffusion equations, STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS
