Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass

DOI10.1016/j.aml.2020.106935zbMath1466.65163OpenAlexW3109529384MaRDI QIDQ1996342

Marissa Condon, Karolina Lademann, Karolina Kropielnicka, Rafał Perczyński

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106935

zbMATH Keywords

Klein-Gordon equationmodified Fourier seriesasymptotic numerical approximation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (2)

Third-order exponential integrator for linear Klein–Gordon equations with time and space-dependent mass ⋮ Asymptotic expansions for the linear PDEs with oscillatory input terms; analytical form and error analysis

Cites Work

• Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
• The variational iteration method for studying the Klein-Gordon equation
• Quantum mechanics of Klein--Gordon-type fields and quantum cosmology.
• Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
• Solving the wave equation with multifrequency oscillations
• Non-Hermitian interaction representation and its use in relativistic quantum mechanics
• Symplectic and multisymplectic Fourier pseudospectral discretizations for the Klein-Gordon equation
• Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
• Efficient computation of delay differential equations with highly oscillatory terms
• Implementing Spectral Methods for Partial Differential Equations
• Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture
• Multisymplectic Pseudospectral Discretizations for (3+1)-Dimensional Klein–Gordon Equation
• Hilbert space structures on the solution space of Klein Gordon-type evolution equations
• On numerical methods for highly oscillatory problems in circuit simulation
• Introduction to Partial Differential Equations

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