High-Order Finite Difference and Finite El...

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Beschreibung

The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers¿ equations, and elliptic (Schrödinger) equation. Despite of a long history especially in development of the theoretical background of these methods there are open questions in their constructive implementation in numerical solving the multidimensional BVPs having additional requirement on physical parameters or desirable properties of its approximate solutions.

Over the last two decades many papers on this topics have been published, in which new constructive approaches to numerically solving the multidimensional BVPs were proposed, and its highly desirable to systematically collect these results. This motivate us to write thus monograph based on our research results obtainedin collaboration with the co-authors. Since the topic is importance we believe that this book will be useful to readers, graduate students and researchers interested in the field of computational physics, applied mathematics, numerical analysis and applied sciences

Inhaltsverzeichnis

The accurate finite-difference scheme for the Helmholtz and wave equations.- Higher-order accurate finite-difference schemes for the Burgers' equations.- High-accuracy finite element method schemes for solution of discrete spectrum problems.- References.- Appendices.

Erscheinungsjahr:	2024
Fachbereich:	Technik allgemein
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 114 S. 7 s/w Illustr. 7 farbige Illustr. 114 p. 14 illus. 7 illus. in color.
ISBN-13:	9783031447839
ISBN-10:	3031447832
Sprache:	Englisch
Einband:	Gebunden
Autor:	Vandandoo, Ulziibayar Zhanlav, Tugal Chuluunbaatar, Galmandakh Gusev, Alexander Vinitsky, Sergue Chuluunbaatar, Ochbadrakh
Auflage:	1st edition 2024
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	246 x 173 x 13 mm
Von/Mit:	Ulziibayar Vandandoo (u. a.)
Erscheinungsdatum:	06.02.2024
Gewicht:	0,404 kg

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