Linearly Implicit Multistep Methods for Time Integration
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Publication:5048571
DOI10.1137/20M133748XzbMath1501.65024arXiv2011.10685OpenAlexW3110024474MaRDI QIDQ5048571
Mahesh Narayanamurthi, Steven R. Glandon, Adrian Sandu
Publication date: 16 November 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.10685
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)
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- Exponential-Krylov methods for ordinary differential equations
- A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)
- Partitioned and implicit-explicit general linear methods for ordinary differential equations
- Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients
- A\(_ 0\)-stability of variable stepsize BDF methods
- Stability of multistep-methods on variable grids
- Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
- On the zero stability of the variable order variable stepsize BDF- formulas
- Stability of linear multistep methods and applications to nonlinear parabolic problems.
- On the zero-stability of multistep methods on smooth nonuniform grids
- Semi-implicit BDF time discretization of the Navier-Stokes equations with VMS-LES modeling in a high performance computing framework
- EPIRK-\(W\) and EPIRK-\(K\) time discretization methods
- Implicit-explicit multistep methods for quasilinear parabolic equations
- A framework for the numerical treatment of aerosol dynamics
- Stability of numerical methods for ordinary differential equations
- Implicit multirate GARK methods
- Convergence of a linearized second-order BDF-FEM for nonlinear parabolic interface problems
- Parallel implicit-explicit general linear methods
- Convergence results for implicit-explicit general linear methods
- Partitioned exponential methods for coupled multiphysics systems
- Biorthogonal Rosenbrock-Krylov time discretization methods
- Efficient implementation of partitioned stiff exponential Runge-Kutta methods
- Extrapolation-based implicit-explicit general linear methods
- Stability and error of the variable two-step BDF for semilinear parabolic problems
- High Order Implicit-explicit General Linear Methods with Optimized Stability Regions
- Rosenbrock--Krylov Methods for Large Systems of Differential Equations
- FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs
- A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods
- Extrapolated Implicit-Explicit Time Stepping
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- Inverses of Vandermonde Matrices
- On the Stability of Variable-Stepsize Nordsieck BDF Methods
- VODE: A Variable-Coefficient ODE Solver
- Some general implicit processes for the numerical solution of differential equations
- An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- The Effect of Variable Mesh Size on the Stability of Multistep Methods
- A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
- Exponential Integrators for Large Systems of Differential Equations
- EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS
- Trees, B-series and exponential integrators
- A Class of Multirate Infinitesimal GARK Methods
- Integration of Stiff Equations
- On the zero-stability of variable stepsize multistep methods: The spectral radius approach
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