Mimetic Discretization Methods

ISBN-13: 9780367380434 / Angielski / Miękka / 2019 / 260 str.

Jose E. Castillo; Guillermo F. Miranda

Opis

This book focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary. Problems and the authors’ mimetic methods toolkit (MTK) are available online.

Spis treści

Introduction. Continuum Mathematical Models. Notes on Numerical Analysis. Mimetic Differential Operators. Object-Oriented Programming and C++. Mimetic Methods Toolkit (MTK). Nonuniform Structured Meshes. Case Studies. Appendices. References. Index.

O autorze

Castillo, Jose E.; Miranda, Guillermo F.