A stability analysis of a real space split operator method for the Klein-Gordon equation

DOI10.1016/j.jcp.2011.09.012zbMath1457.65041arXiv1105.3660OpenAlexW2011712972MaRDI QIDQ418972

Heiko Bauke, Frederick Blumenthal

Publication date: 30 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3660

zbMATH Keywords

stability analysisKlein-Gordon equationnumerical simulationsplit operator method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

An efficient approach for solving Klein-Gordon equation arising in quantum field theory using wavelets ⋮ Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation

Uses Software

• Dirac++

Cites Work

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• FFT-split-operator code for solving the Dirac equation in \(2+1\) dimensions
• A real space split operator method for the Klein-Gordon equation
• Quantum dynamics of relativistic electrons
• Accelerating the Fourier split operator method via graphics processing units
• Numerical signatures of non-self-adjointness in quantum Hamiltonians
• Survey of the stability of linear finite difference equations
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
• Relativistic quantum mechanics.

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