Optimal parameters for numerical solvers of PDEs (Q6053017)

scientific article; zbMATH DE number 7742010

Language	Label	Description	Also known as
English	Optimal parameters for numerical solvers of PDEs	scientific article; zbMATH DE number 7742010

Statements

instance of

scholarly article

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title

Optimal parameters for numerical solvers of PDEs (English)

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author

Gianluca Frasca-Caccia

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Pranav Singh

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published in

Journal of Scientific Computing

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publication date

25 September 2023

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full work available at URL

https://arxiv.org/abs/2108.03459

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zbMATH Keywords

parameter optimization

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finite difference methods

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conservation laws

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KdV equation

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nonlinear diffusion equation

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MaRDI profile type

MaRDI publication profile

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cites work

Multisymplectic box schemes and the Korteweg-de Vries equation.

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On symplectic and multisymplectic schemes for the KdV equation

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Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime

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Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations

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Defect-based local error estimators for splitting methods, with application to Schrödinger equations. I: The linear case

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Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems.

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The RKFIT Algorithm for Nonlinear Rational Approximation

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Splitting and composition methods in the numerical integration of differential equations

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Finite difference method for a fractional porous medium equation

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Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments

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The Lie-Trotter splitting for nonlinear evolutionary problems with critical parameters: a compact local error representation and application to nonlinear Schrodinger equations in the semiclassical regime

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A new error-control for initial value solvers

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Locally conservative finite difference schemes for the modified KdV equation

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Simple bespoke preservation of two conservation laws

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Numerical preservation of multiple local conservation laws

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A new technique for preserving conservation laws

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Uniform Approximation of $\varphi$-Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles

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A Finite Difference Approach to Some Degenerate Nonlinear Parabolic Equations

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A coordinate transformation for the porous media equation that renders the free boundary stationary

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Rational Krylov approximation of matrix functions: Numerical methods and optimal pole selection

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Robust Defect Control with Runge–Kutta Schemes

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A Linearly Implicit Finite-Difference Scheme for the One-Dimensional Porous Medium Equation

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A variational complex for difference equations

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Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations

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Convergence analysis of the general Gauss-Newton algorithm

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Error estimation and control for ODEs

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Identifiers

zbMATH Open document ID

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10.1007/s10915-023-02324-0

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6053017