Numerical Time Dependent Partial Differential Equations for Scientists and Engineers

Written By Moysey Brio
Numerical Time Dependent Partial Differential Equations for Scientists and Engineers
  • Publsiher : Academic Press
  • Release : 21 September 2010
  • ISBN : 9780080917047
  • Pages : 312 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Numerical Time Dependent Partial Differential Equations for Scientists and Engineers written by Moysey Brio which was release on 21 September 2010, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

Numerical Time Dependent Partial Differential Equations for Scientists and Engineers
  • Author : Moysey Brio,Gary M. Webb,Aramais R. Zakharian
  • Publisher : Academic Press
  • Release Date : 2010-09-21
  • Total pages : 312
  • ISBN : 9780080917047
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Summary : 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 ...

Introduction to Numerical Methods for Time Dependent Differential Equations

Introduction to Numerical Methods for Time Dependent Differential Equations
  • Author : Heinz-Otto Kreiss,Omar Eduardo Ortiz
  • Publisher : John Wiley & Sons
  • Release Date : 2014-04-24
  • Total pages : 192
  • ISBN : 9780080917047
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Summary : Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize ...

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Proper Orthogonal Decomposition Methods for Partial Differential Equations
  • Author : Zhendong Luo,Goong Chen
  • Publisher : Academic Press
  • Release Date : 2018-11-26
  • Total pages : 278
  • ISBN : 9780080917047
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Summary : Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with ...

Numerical Analysis of Partial Differential Equations

Numerical Analysis of Partial Differential Equations
  • Author : S. H, Lui
  • Publisher : John Wiley & Sons
  • Release Date : 2012-01-10
  • Total pages : 512
  • ISBN : 9780080917047
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Summary : A balanced guide to the essential techniques for solving elliptic partial differential equations Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented ...

Continuum Theory and Modeling of Thermoelectric Elements

Continuum Theory and Modeling of Thermoelectric Elements
  • Author : Christophe Goupil
  • Publisher : John Wiley & Sons
  • Release Date : 2016-02-23
  • Total pages : 360
  • ISBN : 9780080917047
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Summary : 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 and the Finite Element Method

Partial Differential Equations and the Finite Element Method
  • Author : Pavel Ŝolín
  • Publisher : John Wiley & Sons
  • Release Date : 2005-12-16
  • Total pages : 512
  • ISBN : 9780080917047
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Summary : A systematic introduction to partial differential equations and modern finite element methods for their efficientnumerical solution Partial Differential Equations and the Finite Element Methodprovides a much-needed, clear, and systematic introduction tomodern theory of partial differential equations (PDEs) and finiteelement methods (FEM). Both nodal and hierachic concepts of the FEMare examined. ...

Simulation of ODE PDE Models with MATLAB OCTAVE and SCILAB

Simulation of ODE PDE Models with MATLAB    OCTAVE and SCILAB
  • Author : Alain Vande Wouwer,Philippe Saucez,Carlos Vilas
  • Publisher : Springer
  • Release Date : 2017-04-30
  • Total pages : 406
  • ISBN : 9780080917047
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Summary : Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems ...

Simulation of ODE PDE Models with MATLAB OCTAVE and SCILAB

Simulation of ODE PDE Models with MATLAB    OCTAVE and SCILAB
  • Author : Alain Vande Wouwer,Philippe Saucez,Carlos Vilas Fernández
  • Publisher : Springer
  • Release Date : 2014-07-01
  • Total pages : 406
  • ISBN : 9780080917047
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Summary : Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems ...

Time Dependent Problems and Difference Methods

Time Dependent Problems and Difference Methods
  • Author : Bertil Gustafsson,Heinz-Otto Kreiss,Joseph Oliger
  • Publisher : John Wiley & Sons
  • Release Date : 2013-07-18
  • Total pages : 528
  • ISBN : 9780080917047
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Summary : Praise for the First Edition ". . . fills a considerable gap in the numerical analysisliterature by providing a self-contained treatment . . . this is animportant work written in a clear style . . . warmly recommended toany graduate student or researcher in the field of the numericalsolution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference ...

Simulation of Ode Pde Models with MATLAB R Octave and Scilab

Simulation of Ode Pde Models with MATLAB R   Octave and Scilab
  • Author : Alain Vande Wouwer,Philippe Saucez,Carlos Vilas
  • Publisher : Unknown
  • Release Date : 2014-06-30
  • Total pages : 424
  • ISBN : 9780080917047
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Summary : Download or read online Simulation of Ode Pde Models with MATLAB R Octave and Scilab written by Alain Vande Wouwer,Philippe Saucez,Carlos Vilas, published by which was released on 2014-06-30. Get Simulation of Ode Pde Models with MATLAB R Octave and Scilab Books now! Available in PDF, ePub ...

Numerical Methods for Evolutionary Differential Equations

Numerical Methods for Evolutionary Differential Equations
  • Author : Uri M. Ascher
  • Publisher : SIAM
  • Release Date : 2008
  • Total pages : 395
  • ISBN : 9780080917047
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Summary : Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary ...

Simulation of ODE PDE Models with MATLAB OCTAVE and SCILAB

Simulation of ODE PDE Models with MATLAB    OCTAVE and SCILAB
  • Author : Alain Vande Wouwer,Philippe Saucez,Carlos Vilas
  • Publisher : Springer
  • Release Date : 2014-06-07
  • Total pages : 406
  • ISBN : 9780080917047
GET BOOK

Summary : Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems ...

Differential Equation Analysis in Biomedical Science and Engineering

Differential Equation Analysis in Biomedical Science and Engineering
  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release Date : 2014-03-31
  • Total pages : 344
  • ISBN : 9780080917047
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Summary : Features a solid foundation of mathematical and computational tools to formulate and solve real-world PDE problems across various fields With a step-by-step approach to solving partial differential equations (PDEs), Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R successfully applies computational techniques for solving real-world ...

Geometric Partial Differential Equations Part I

Geometric Partial Differential Equations   Part I
  • Author : Anonim
  • Publisher : Elsevier
  • Release Date : 2020-01-14
  • Total pages : 710
  • ISBN : 9780080917047
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Summary : Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. ...

Geometric Partial Differential Equations Part 2

Geometric Partial Differential Equations   Part 2
  • Author : Andrea Bonito,Ricardo Horacio Nochetto
  • Publisher : Elsevier
  • Release Date : 2021-01-26
  • Total pages : 570
  • ISBN : 9780080917047
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Summary : Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. ...