A unified formulation of splitting-based implicit time integration schemes (Q2134544)

scientific article; zbMATH DE number 7516837

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English	A unified formulation of splitting-based implicit time integration schemes	scientific article; zbMATH DE number 7516837

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instance of

scholarly article

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title

A unified formulation of splitting-based implicit time integration schemes (English)

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author

S. González-Pinto

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D. Hernández-Abreu

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Maria S. Pérez-Rodríguez

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Journal of Computational Physics

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publication date

3 May 2022

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full work available at URL

https://arxiv.org/abs/2103.00757

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zbMATH Keywords

general-structure additive Runge-Kutta methods

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alternating direction implicit

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implicit-explicit

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implicit-implicit methods

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describes a project that uses

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Modified Douglas splitting methods for reaction-diffusion equations

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Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

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An implicit finite-difference algorithm for hyperbolic systems in conservation-law form

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Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems

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On an accurate third order implicit-explicit Runge-Kutta method for stiff problems

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Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability

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Stability results for fractional step discretizations of time dependent coefficient evolutionary problems

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Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems

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Efficient linearly implicit methods for nonlinear multidimensional parabolic problems.

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Stability results for linearly implicit fractional step discretizations of nonlinear time dependent parabolic problems

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Order conditions for linearly implicit fractional step Runge Kutta methods

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EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS

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Extrapolation-based implicit-explicit general linear methods

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Extrapolated Implicit-Explicit Time Stepping

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Additive Runge-Kutta Methods for Stiff Ordinary Differential Equations

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An alternating-direction implicit scheme for parabolic equations with mixed derivatives

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On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods

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On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables

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Convergence in $\ell_2$ and $\ell_\infty$ Norm of One-Stage AMF-W-Methods for Parabolic Problems

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Power boundedness in the maximum norm of stability matrices for ADI methods

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AMF-type W-methods for Parabolic Problems with Mixed Derivatives

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PDE-W-methods for parabolic problems with mixed derivatives

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Splitting-methods based on approximate matrix factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs

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Convergence in the maximum norm of ADI-type methods for parabolic problems

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AMFR-W-methods for parabolic problems with mixed derivates. Applications to the Heston model

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Multirate GARK Schemes for Multiphysics Problems

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Multirate generalized additive Runge Kutta methods

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Order conditions for numerical methods for partitioned ordinary differential equations

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Solving Ordinary Differential Equations I

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The vec-permutation matrix, the vec operator and Kronecker products: a review

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Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms

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Accuracy and stability of splitting with stabilizing corrections

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Q4421310

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Additive Runge-Kutta schemes for convection-diffusion-reaction equations

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Linearly implicit time discretization of non-linear parabolic equations

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Runge-Kutta Approximation of Quasi-Linear Parabolic Equations

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Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence

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The Numerical Solution of Parabolic and Elliptic Differential Equations

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Avoiding order reduction of fractional step Runge-Kutta discretizations for linear time dependent coefficient parabolic problems.

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Partitioned Runge-Kutta methods with stiffness detection and stepsize control

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Split Runge-Kutta method for simultaneous equations

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Implicit multirate GARK methods

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Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales

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A Class of Multirate Infinitesimal GARK Methods

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Convergence results for implicit-explicit general linear methods

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Linearly implicit GARK schemes

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A Generalized-Structure Approach to Additive Runge--Kutta Methods

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Design of High-Order Decoupled Multirate GARK Schemes

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Alternating directions implicit integration in a general linear method framework

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Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part

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Super-convergent implicit-explicit peer methods with variable step sizes

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IMEX peer methods for fast-wave-slow-wave problems

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Superconvergent IMEX peer methods

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On the Construction and Comparison of Difference Schemes

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Fundamental Schemes for Efficient Unconditionally Stable Implicit Finite-Difference Time-Domain Methods

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Partitioning strategies in Runge-Kutta type methods

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Q5611377

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FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs

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Partitioned and implicit-explicit general linear methods for ordinary differential equations

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Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods

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A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2021.110766

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Sitelinks

Mathematics(1 entry)

mardi Publication:2134544