Numerical Time Dependent Partial Differential Equations For Scientists And Engineers


Numerical Time Dependent Partial Differential Equations For Scientists And Engineers
Author: Moysey Brio
Publisher: Academic Press
ISBN: 9780080917047
Size: 30.24 MB
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Numerical Time Dependent Partial Differential Equations For Scientists And Engineers

Numerical Time Dependent Partial Differential Equations For Scientists And Engineers by Moysey Brio, Numerical Time Dependent Partial Differential Equations For Scientists And Engineers Books available in PDF, EPUB, Mobi Format. Download Numerical Time Dependent Partial Differential Equations For Scientists And Engineers books, It 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


Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers
Language: en
Pages: 312
Authors: Moysey Brio, Gary M. Webb, Aramais R. Zakharian
Categories: Mathematics
Type: BOOK - Published: 2010-09-21 - Publisher: Academic Press
It 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
Numerical Partial Differential Equations for Environmental Scientists and Engineers
Language: en
Pages: 388
Authors: Daniel R. Lynch
Categories: Science
Type: BOOK - Published: 2006-06-02 - Publisher: Springer Science & Business Media
For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems.
Continuum Theory and Modeling of Thermoelectric Elements
Language: en
Pages: 360
Authors: Christophe Goupil
Categories: MATHEMATICS
Type: BOOK - Published: 2016-02-23 - Publisher: John Wiley & Sons
This volume presents the latest research results in the thermodynamics and design of thermoelectric devices, providing a solid foundation for thermoelectric element and module design in the technical development process, and a valuable tool for any application development.
Partial Differential Equations with Numerical Methods
Language: en
Pages: 262
Authors: Stig Larsson, Vidar Thomee
Categories: Mathematics
Type: BOOK - Published: 2008-12-05 - Publisher: Springer Science & Business Media
The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite
High-dimensional Partial Differential Equations in Science and Engineering
Language: en
Pages: 194
Authors: André D. Bandrauk, Michel C. Delfour, Claude Le Bris
Categories: Mathematics
Type: BOOK - Published: 2007-01-01 - Publisher: American Mathematical Soc.
High-dimensional spatio-temporal partial differential equations are a major challenge to scientific computing of the future. Up to now deemed prohibitive, they have recently become manageable by combining recent developments in numerical techniques, appropriate computer implementations, and the use of computers with parallel and even massively parallel architectures. This opens new
Linear Partial Differential Equations for Scientists and Engineers
Language: en
Pages: 778
Authors: Tyn Myint-U, Lokenath Debnath
Categories: Mathematics
Type: BOOK - Published: 2007-04-05 - Publisher: Springer Science & Business Media
This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new
Using R for Numerical Analysis in Science and Engineering
Language: en
Pages: 359
Authors: Victor A. Bloomfield
Categories: Mathematics
Type: BOOK - Published: 2014-04-24 - Publisher: CRC Press
Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and
Time Dependent Problems and Difference Methods
Language: en
Pages: 642
Authors: Bertil Gustafsson, Heinz-Otto Kreiss, Joseph Oliger
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: John Wiley & Sons
Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly--numerical experiments intended to analyze physical behavior and test design. Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving
A Numerical Library in Java for Scientists and Engineers
Language: en
Pages: 1088
Authors: Hang T. Lau
Categories: Mathematics
Type: BOOK - Published: 2003-08-27 - Publisher: CRC Press
At last researchers have an inexpensive library of Java-based numeric procedures for use in scientific computation. The first and only book of its kind, A Numeric Library in Java for Scientists and Engineers is a translation into Java of the library NUMAL (NUMerical procedures in ALgol 60). This groundbreaking text
Numerical Solution of Partial Differential Equations by the Finite Element Method
Language: en
Pages: 288
Authors: Claes Johnson
Categories: Mathematics
Type: BOOK - Published: 2012-05-23 - Publisher: Courier Corporation
An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text