On a discrete‐time collocation method for the nonlinear Schrödinger equation with wave operator

DOI10.1002/num.21729zbMath1266.65177OpenAlexW2060052388WikidataQ115398293 ScholiaQ115398293MaRDI QIDQ4909196

Siu-Long Lei, Qing-Jiang Meng, Seak Weng Vong

Publication date: 12 March 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21729

zbMATH Keywords

convergencenumerical examplenonlinear Schrödinger equationerror estimatewave operatororthogonal spline collocation method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator ⋮ Discrete-time orthogonal spline collocation method for one-dimensional sine-Gordon equation

Cites Work

• Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator
• Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
• Orthogonal spline collocation methods for Schrödinger-type equations in one space variable
• The solution of nonlinear Schrödinger equations using orthogonal spline collocation
• Efficient orthogonal spline collocation methods for solving linear second order hyperbolic problems on rectangles
• A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator.
• Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension
• A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations
• Nonlinear Interactions of Counter-Travelling Waves
• Collocation at Gaussian Points
• Orthogonal spline collocation methods for partial differential equations
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