An in-depth stability analysis of nonuniform FDTD combined with novel local implicitization techniques
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Publication:1686615
DOI10.1016/j.jcp.2017.04.036zbMath1376.78013OpenAlexW2606125334MaRDI QIDQ1686615
Dries Vande Ginste, Arne van Londersele, Daniël De Zutter
Publication date: 15 December 2017
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1854/LU-8541169
stabilitynonuniformfinite-difference time-domainhybrid implicit-explicitalternating-direction hybrid implicit-explicitalternating-direction implicitCrank-Nicolson implicitizationNewmark implicitization
Related Items (6)
An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation ⋮ Conservative second-order accurate finite-difference scheme for the coupled Maxwell-Dirac equations ⋮ Nonuniform and higher-order FDTD methods for the Schrödinger equation ⋮ Explicit and provably stable spatiotemporal FDTD refinement ⋮ A bicompact scheme and spectral decomposition method for difference solution of Maxwell's equations in layered media ⋮ Highly accurate methods for solving one-dimensional Maxwell equations in stratified media
Cites Work
- Unnamed Item
- The quasi-Weierstrass form for regular matrix pencils
- Stability of explicit-implicit hybrid time-stepping schemes for Maxwell's equations
- Stability of FDTD on nonuniform grids for Maxwell's equations in lossless media
- The discrete origin of FETD-Newmark late time instability, and a correction scheme
- On the stability of the finite-difference time-domain method
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Z-Transform Theory and FDTD Stability
- Conservative and Provably Stable FDTD Subgridding
- An Unconditionally Stable One-Step Arbitrary-Order Leapfrog ADI-FDTD Method and Its Numerical Properties
- The instability of the Yee scheme for the ``magic time step
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