Unification of Leapfrog and Crank--Nicolson Finite Difference Time Domain Methods

DOI10.1137/16M1079634zbMath1383.35224MaRDI QIDQ4602902

Wouter Tierens

Publication date: 7 February 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

stabilityMaxwell's equationsFDTD

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (1)

Explicit and provably stable spatiotemporal FDTD refinement

Cites Work

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• Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
• High-Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations
• Conservative and Provably Stable FDTD Subgridding
• A New Hybrid Implicit–Explicit FDTD Method for Local Subgridding in Multiscale 2-D TE Scattering Problems

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