[图书][B] Computational methods for nanoscale applications

I Tsukerman - 2008 - Springer
The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …

A method of boundary equations for unsteady hyperbolic problems in 3D

S Petropavlovsky, S Tsynkov, E Turkel - Journal of Computational Physics, 2018 - Elsevier
We consider interior and exterior initial boundary value problems for the three-dimensional
wave (d'Alembert) equation. First, we reduce a given problem to an equivalent operator …

Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics

S Petropavlovsky, S Tsynkov - Journal of Computational Physics, 2017 - Elsevier
The Huygens' principle and lacunae can help construct efficient far-field closures for the
numerical simulation of unsteady waves propagating over unbounded regions. Those …