In the nearly seven years since I finished writing the first edition of this book research on the
accuracy and stability of numerical algorithms has continued to flourish and mature. Our …

Computing has become a third branch of research, joining the traditional practices of
theorization and laboratory experimentation and verification. Due to the expense and …

Complex valued systems of equations with a matrix R+ 1S where R and S are real valued
arise in many applications. A preconditioned iterative solution method is presented when R …

Das vorliegende Lehrbuch entstand auf der Grundlage von Vorlesungen zum Thema"
Numerik partieller Differentialgleichungen", welche die Autoren in den letzten Jahren für …

Complex valued linear algebraic systems arise in many important applications. We present
analytical and extensive numerical comparisons of some available numerical solution …

This review paper presents a unified treatment of the numerical time-domain modeling of
acoustic, electromagnetic, and elastodynamic waves and of the combination thereof: this …

Nanofabrication by using lasers with a spatial resolution beyond the optical diffraction limit is
a challenging task. One of the solutions is to use near-field techniques, in which evanescent …

In understanding of the hot spot phenomenon in single-molecule surface enhanced Raman
scattering (SM-SERS), the electromagnetic field within the gaps of dimers (ie, two particle …

The concept of a digital twin (DT) has gained significant attention in academia and industry
because of its perceived potential to address critical global challenges, such as climate …

In this study, we propose a new open-source simulation platform that comprises computer-
aided design and computer-aided engineering tools for highly automated evaluation of …