Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems (Q6639371)

scientific article; zbMATH DE number 7945393

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English	Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems	scientific article; zbMATH DE number 7945393

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title

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems (English)

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Journal of Computational Physics

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publication date

15 November 2024

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zbMATH Keywords

gradient flow problem

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integrating factor Runge-Kutta method

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steady-state preserving correction

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differentiation matrix

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discrete energy dissipation law

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MaRDI profile type

Publication

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cites work

Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

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Exponential time differencing for stiff systems

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations

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A fast spectral algorithm for nonlinear wave equations with linear dispersion

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Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models

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High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation

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Neue Methode zur approximativen Integration der Differentialgleichungen einer unabhängigen Variable.

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Functions of Matrices

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On the convergence of Lawson methods for semilinear stiff problems

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Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

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Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations

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Generalized integrating factor methods for stiff PDEs

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Beitrag zur näherungsweisen Integration totaler Differentialgleichungen.

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Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

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On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

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Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations

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Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

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Runge-Kutta Methods with Minimum Error Bounds

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Ueber die numerische Auflösung von Differentialgleichungen.

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Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential

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A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential

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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations

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Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation

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Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2024.113456

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Sitelinks

Mathematics(1 entry)

mardi Publication:6639371