Additive splitting methods for parallel solutions of evolution problems (Q2131091)

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English	Additive splitting methods for parallel solutions of evolution problems	scientific article

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instance of

scholarly article

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title

Additive splitting methods for parallel solutions of evolution problems (English)

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Journal of Computational Physics

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publication date

25 April 2022

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zbMATH Keywords

splitting method

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Richardson extrapolation

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nonlinear Schrödinger equation

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nonlinear optics

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2021.110320

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cites work

Q4421310

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Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations

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Global error estimates for exponential splitting

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On the Product of Semi-Groups of Operators

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Accurate partial difference methods. I: Linear Cauchy problems

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Fourth-order symplectic integration

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Solving Linear Partial Differential Equations by Exponential Splitting

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General theory of fractal path integrals with applications to many-body theories and statistical physics

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On the necessity of negative coefficients for operator splitting schemes of order higher than two

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Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods

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High order splitting methods for analytic semigroups exist

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Optimized high-order splitting methods for some classes of parabolic equations

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Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes

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Practical splitting methods for the adaptive integration of nonlinear evolution equations. II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations

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Exponential Integrators for Large Systems of Differential Equations

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Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation

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Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation

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Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

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Numerical methods for a class of generalized nonlinear Schrödinger equations

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Time-Domain Simulations of the Nonlinear Maxwell Equations Using Operator-Exponential Methods

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High-order split-step exponential methods for solving coupled nonlinear Schrodinger equations

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<i>N</i>th-Order Operator Splitting Schemes and Nonreversible Systems

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Third order difference methods for hyperbolic equations

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Comparison of split step solvers for multidimensional Schrödinger problems

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On the Construction and Comparison of Difference Schemes

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Palindromic 3-stage splitting integrators, a roadmap

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Lie Groups, Lie Algebras, and Representations

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The origins of combinatorics on words

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A special stability problem for linear multistep methods

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Q3202263

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2021.110320

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131091