This work received funding from the European Research Council (grant 742703) and the NWO Domain Applied and Engineering Sciences (grant 13939). The demo directory contains many scripts which ...

Abstract: A new method for solving Maxwell equations in the time domain, called the symplectic FDTD method, is formulated, discretized, implemented, and verified. This method preserves the ...

Abstract: Many finite-difference-based time-domain methods have been developed in the past three decades. Typical among them are the finite-difference time-domain method of Yee's scheme, the ...

In this work, a finite volume formulation developed for two-dimensional models is extended to deal with axisymmetric models of heat conduction applications. This formulation uses a vertex centered ...

The Julia library SummationByPartsOperators.jl provides a unified interface of different discretization approaches including finite difference, Fourier pseudospectral, continuous Galerkin, and ...

In this work a Finite-Difference Frequency-Domain (FDFD) propagation method for complex urban environments is proposed. The formulation starts from the discretization of the Helmholtz equation for the ...

Scientists have solved a decades-long mystery on whether light can be effectively trapped in a 3D forest of microscopic particles. Using a new method for crunching vast sums in a model of particle ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...

Numerical simulation of three-dimensional (3D) seismic wavefields forms the basis of the research on the migration methods of 3D seismic data based on wave equations. Because the simulation precision ...