Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations (Q6191770)

scientific article; zbMATH DE number 7814759

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English	Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations	scientific article; zbMATH DE number 7814759

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instance of

scholarly article

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title

Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations (English)

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Numerical Mathematics: Theory, Methods and Applications

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publication date

11 March 2024

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zbMATH Keywords

optimal error estimates

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time fractional Schrödinger equations

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transformed $L1$ scheme

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discrete fractional Grönwall inequality

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MaRDI profile type

MaRDI publication profile

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cites work

A new difference scheme for the time fractional diffusion equation

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Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

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Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation

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Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation

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Fractional-time Schrödinger equation: fractional dynamics on a comb

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping

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Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

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Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

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Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

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A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations

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Fast L2-1$_\sigma$ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives

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A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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A weighted ADI scheme for subdiffusion equations

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A numerical method for solving the time fractional Schrödinger equation

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The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

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A fractional Schrödinger equation and its solution

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Time fractional Schrödinger equation

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A novel scheme to capture the initial dramatic evolutions of nonlinear subdiffusion equations

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Sharp $H^1$-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems

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Superconvergence error estimate of a finite element method on nonuniform time meshes for reaction-subdiffusion equations

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A transformed $L 1$ method for solving the multi-term time-fractional diffusion problem

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D

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Q4360234

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Generalized fractional Schrödinger equation with space-time fractional derivatives

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

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A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations

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Convergence analysis of an <i>L</i>1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

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Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions

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Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations

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Identifiers

Mathematics Subject Classification ID

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10.4208/NMTMA.OA-2022-0087

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191770