Several Numerical Simulation Methods for the Time-Dependent Schrödinger Equation (Q6571971)

scientific article; zbMATH DE number 7880699

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English	Several Numerical Simulation Methods for the Time-Dependent Schrödinger Equation	scientific article; zbMATH DE number 7880699

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instance of

scholarly article

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title

Several Numerical Simulation Methods for the Time-Dependent Schrödinger Equation (English)

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Journal of Computational and Theoretical Transport

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publication date

12 July 2024

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MaRDI profile type

Publication

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cites work

An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems

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Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems

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The parameter \(R^ 2\) in multiquadric interpolation

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Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

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Polynomial particular solutions for solving elliptic partial differential equations

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On some properties of the generalized gradient method

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A new variable step method for the numerical integration of the one- dimensional Schrödinger equation

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

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High strain Lagrangian hydrodynamics. A three-dimensional SPH code for dynamic material response

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Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems

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A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions

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Space-time localized radial basis function collocation method for solving parabolic and hyperbolic equations

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A variable step method for the numerical integration of the one- dimensional Schrödinger equation

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Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures

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A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids

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Numerical solution of fractional <scp>Dullin–Gottwald–Holm</scp> equation for solitary shallow water waves

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On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation

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Q4486992

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A finite-difference method for solving the cubic Schrödinger equation

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Galerkin finite element method for damped nonlinear Schrödinger equation

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Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.

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Identifiers

DOI

10.1080/23324309.2024.2307541

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Mathematics Subject Classification ID

82-XX

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zbMATH DE Number

7880699

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Sitelinks

Mathematics(1 entry)

mardi Publication:6571971