An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations (Q6652072)

scientific article; zbMATH DE number 7957224

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English	An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations	scientific article; zbMATH DE number 7957224

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instance of

scholarly article

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title

An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations (English)

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European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis

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publication date

12 December 2024

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zbMATH Keywords

discontinuous Galerkin

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nonlinear biharmonic Schrödinger equation

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stability and error estimates

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Finite difference discretization of the cubic Schrödinger equation

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On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation

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The Finite Element Method with Penalty

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Nonconforming Elements in the Finite Element Method with Penalty

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Finite Element Methods for Elliptic Equations Using Nonconforming Elements

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Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

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Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

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Singular solutions of the<i>L</i><sup>2</sup>-supercritical biharmonic nonlinear Schrödinger equation

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Ring-type singular solutions of the biharmonic nonlinear Schrödinger equation

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Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation

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A Relaxation Scheme for the Nonlinear Schrödinger Equation

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

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Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem

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Finite Difference Method for Generalized Zakharov Equations

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An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension

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A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

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The finite element methods for elliptic problems.

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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

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Superconvergence of the local discontinuous Galerkin method for elliptic problems on Cartesian grids

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Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces \(H^{s}(\mathbb R^{n})\) and applications

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A quadratic B-spline finite element method for solving nonlinear Schrödinger equation

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Q4303015

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Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

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Self-Focusing with Fourth-Order Dispersion

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A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations

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Pseudo-spectral solution of nonlinear Schrödinger equations

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The cubic fourth-order Schrödinger equation

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On the numerical solution of the cubic Schrödinger equation in one space variable

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Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods

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An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

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A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations

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An Elliptic Collocation-Finite Element Method with Interior Penalties

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Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction

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Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

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A Local Discontinuous Galerkin Method for KdV Type Equations

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A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations

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A conservative linearly-implicit compact difference scheme for the quantum Zakharov system

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A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations

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Identifiers

DOI

10.1051/m2an/2024023

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6652072