Computing the fundamental solutions for equations of electrodynamics

DOI10.1016/j.amc.2014.04.105zbMath1338.78028OpenAlexW2078051671MaRDI QIDQ299443

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.105

zbMATH Keywords

simulationMaxwell's equationsgeneralized solutionanalytical methodcomputation``infinity computersymmetric hyperbolic system

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Uses Software

• Matlab

Cites Work

• Computation of the fundamental solution of electrodynamics for anisotropic materials
• Computing sums of conditionally convergent and divergent series using the concept of grossone
• Solving ordinary differential equations on the Infinity Computer by working with infinitesimals numerically
• Equations of anisotropic elastodynamics as a symmetric hyperbolic system: Deriving the time-dependent fundamental solution
• Higher order numerical differentiation on the infinity computer
• Computation of the time-dependent Green's functions for non-dispersive magnetoelectric materials
• Fundamental matrices of homogeneous hyperbolic systems. Applications to crystal optics, elastodynamics, and piezoelectromagnetism
• The fundamental solution of the time-dependent system of crystal optics
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