Finite Difference Method for Solving the Spatio-temporal Diffusion Equation in the Two-group Approximation
Author: R. Monterosso
Publisher:
Published: 1964
Total Pages: 36
ISBN-13:
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Author: R. Monterosso
Publisher:
Published: 1964
Total Pages: 36
ISBN-13:
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Publisher:
Published: 1976
Total Pages: 612
ISBN-13:
DOWNLOAD EBOOKAuthor: U.S. Atomic Energy Commission. Division of Technical Information
Publisher:
Published:
Total Pages: 900
ISBN-13:
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Publisher:
Published: 1995
Total Pages: 376
ISBN-13:
DOWNLOAD EBOOKLists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: David J. Evans
Publisher: CRC Press
Published: 1997-05-22
Total Pages: 478
ISBN-13: 9789056990190
DOWNLOAD EBOOKA new class of methods, termed "group explicit methods," is introduced in this text. Their applications to solve parabolic, hyperbolic and elliptic equations are outlined, and the advantages for their implementation on parallel computers clearly portrayed. Also included are the introductory and fundamental concepts from which the new methods are derived, and on which they are dependent. With the increasing advent of parallel computing into all aspects of computational mathematics, there is no doubt that the new methods will be widely used.
Author: Moysey Brio
Publisher: Academic Press
Published: 2010-09-21
Total Pages: 306
ISBN-13: 0080917046
DOWNLOAD EBOOKIt is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc. The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them. In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. Self contained presentation of key issues in successful numerical simulation Accessible to scientists and engineers with diverse background Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations
Author:
Publisher: Bookboon
Published:
Total Pages: 144
ISBN-13: 8776816427
DOWNLOAD EBOOKAuthor: Ivan Dimov
Publisher: Springer
Published: 2015-06-16
Total Pages: 443
ISBN-13: 3319202391
DOWNLOAD EBOOKThis book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014. The 36 revised full papers were carefully reviewed and selected from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.
Author: Yuri Luchko
Publisher: MDPI
Published: 2021-03-16
Total Pages: 280
ISBN-13: 303650494X
DOWNLOAD EBOOKThis Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.
Author: Association for Computing Machinery
Publisher:
Published: 1966
Total Pages: 574
ISBN-13:
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