An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation (Q5080496)

scientific article; zbMATH DE number 7534667

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English	An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation	scientific article; zbMATH DE number 7534667

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instance of

scholarly article

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title

An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation (English)

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published in

SIAM Journal on Numerical Analysis

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publication date

31 May 2022

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zbMATH Keywords

mKdV equation

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rough data

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exponential-type integrator

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Miura transform

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iterative regularizing

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error estimate

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describes a project that uses

Matlab

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MaRDI profile type

MaRDI publication profile

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cites work

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Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

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Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation

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Fully discrete galerkin methods for the korteweg-de vries equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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On an endpoint Kato-Ponce inequality.

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Weakly nonlinear wavepackets in the Korteweg-de Vries equation: The KdV/NLS connection

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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Multilinear estimates for periodic KdV equations, and applications

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Error estimates of finite difference schemes for the Korteweg–de Vries equation

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Accelerating the Nonuniform Fast Fourier Transform

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Rough solutions for the periodic Korteweg-de Vries equation

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On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line

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Commutation Methods Applied to the mKdV-Equation

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Exponential integrators

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An exponential-type integrator for the KdV equation

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Operator splitting methods for generalized Korteweg-de Vries equations

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Operator splitting for the KdV equation

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Operator splitting for partial differential equations with Burgers nonlinearity

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Global Well-Posedness of mKdV in<i>L</i><sup>2</sup>(𝕋, ℝ)

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Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)

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Commutator estimates and the euler and navier-stokes equations

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A numerical application of the decomposition method for the combined KdV-MKdV equation

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On Optimal High-Order in Time Approximations for the Korteweg-De Vries Equation

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A Fourier Integrator for the Cubic Nonlinear Schrödinger Equation with Rough Initial Data

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A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation

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Convergence of an Embedded Exponential-Type Low-Regularity Integrators for the KdV Equation without Loss of Regularity

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A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect

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On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

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Spectral Methods

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NUMERICAL SIMULATION OF THE KdV-MKdV EQUATION

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Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical

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Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation

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Analytical and numerical aspects of certain nonlinear evolution equations. IV: Numerical, modified Korteweg-de Vries equation

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Q4043472

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Optimal convergence of a second-order low-regularity integrator for the KdV equation

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Embedded exponential-type low-regularity integrators for KdV equation under rough data

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A Local Discontinuous Galerkin Method for KdV Type Equations

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Numerical simulation of a modified KdV equation on the whole real axis

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full work available at URL

https://doi.org/10.1137/21m1408166

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Identifiers

DOI

10.1137/21M1408166

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5080496