9783031447839 - high-order finite difference and finite element methods for solving some partial differential equations (synthesis lectures on engineering, science, and technology) von vandandoo, ulziibayar; zhanlav, tugal; chuluunbaatar, ochbadrakh; gusev, alexander; vinitsky, sergue; chuluunbaatar, galmandakh (1 Ergebnisse)

Sprache: Englisch
Verlag: Springer Nature Switzerland, 2024
Serie: Buch 84 von 110 - Synthesis Lectures on Engineering, Science, and Technology
- Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 a…nd waveequations, 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 themultidimensional 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.