Dear Colleagues,

Thanks to its advantageous properties and flexibility in modeling time-dependent problems, the finite-difference time-domain (FDTD) method is one of the numerical techniques currently playing a prominent role in the area of Computational Electromagnetics (and other disciplines as well, such as Acoustics and Geophysics). Although the main idea has remained the same since its introduction (i.e., solution of Maxwell’s equations via finite-difference approximations on a dual staggerred grid), the capabilities of the FDTD method have been expanded throughout the years, new features have been added, generalizations have been proposed, and modifications have been devised. In fact, this is still an ongoing process, as the constantly increasing complexity of electromagnetic devices imposes stricter requirements on the corresponding computational models, both in terms of reliability and efficiency. Technological advances are commonly associated with applications involving diverse phenomena, unexplored interactions, and non-trivial material responses, whose consistent prediction is of vital importance. In this context, traditional computational approaches are necessary to live up to these emerging challenges.

The purpose of this Special Issue is to report on novel advances and findings regarding FDTD methods and pertinent applications in the area of Computational Electromagnetics and other scientific disciplines. The main topics of interest include (but are not limited to):

• discretization schemes for curvilinear and unstructured grids;
• dispersion-relation-preserving and optimized schemes;
• space-time mesh refinement techniques;
• modeling of complex material responses;
• higher-order extensions;
• unconditionally stable and implicit–explicit formulations;
• absorbing and surface-boundary conditions;
• overlapping and non-conforming grids;
• stochastic methods;
• subcell modeling and thin-wire formulations;
• reduced-order models;
• hybridization with other computational methods;
• parallelization strategies;
• advanced applications of the FDTD method (e.g., complex problems where specific capabilities of the FDTD method are utilized); and
• novel applications of the FDTD methods.

Assoc. Prof. Dr. Theodoros Zygiridis
Prof. Dr. Nikolaos Kantartzis
Guest Editors

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• finite-difference time-domain methods
• hybrid techniques
• higher-order methods
• stability
• material modeling
• CPU and GPU parallelization
• uncertainty quantification
• numerical dispersion
• model order reduction
• mesh refinement
• FDTD applications