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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 : 21 September 2010
GET THIS BOOKNumerical Time-Dependent Partial Differential Equations for Scientists and Engineers

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

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Numerical Partial Differential Equations for Environmental Scientists and Engineers

Numerical Partial Differential Equations for Environmental Scientists and Engineers
  • Author : Daniel R. Lynch
  • Publisher : Springer Science & Business Media
  • Release : 02 June 2006
GET THIS BOOKNumerical Partial Differential Equations for Environmental Scientists and Engineers

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. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.

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Continuum Theory and Modeling of Thermoelectric Elements

Continuum Theory and Modeling of Thermoelectric Elements
  • Author : Christophe Goupil
  • Publisher : John Wiley & Sons
  • Release : 23 February 2016
GET THIS BOOKContinuum Theory and Modeling of Thermoelectric Elements

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.

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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 : 26 November 2018
GET THIS BOOKProper Orthogonal Decomposition Methods for Partial Differential Equations

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 detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs,

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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 : 24 April 2014
GET THIS BOOKIntroduction to Numerical Methods for Time Dependent Differential Equations

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 both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of

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Partial Differential Equations for Scientists and Engineers

Partial Differential Equations for Scientists and Engineers
  • Author : Stanley J. Farlow
  • Publisher : Courier Corporation
  • Release : 08 March 2012
GET THIS BOOKPartial Differential Equations for Scientists and Engineers

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

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Linear Partial Differential Equations for Scientists and Engineers

Linear Partial Differential Equations for Scientists and Engineers
  • Author : Tyn Myint-U,Lokenath Debnath
  • Publisher : Springer Science & Business Media
  • Release : 05 April 2007
GET THIS BOOKLinear Partial Differential Equations for Scientists and Engineers

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 material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas

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Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations
  • Author : Randall J. LeVeque
  • Publisher : SIAM
  • Release : 01 January 2007
GET THIS BOOKFinite Difference Methods for Ordinary and Partial Differential Equations

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

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Numerical Methods for Evolutionary Differential Equations

Numerical Methods for Evolutionary Differential Equations
  • Author : Uri M. Ascher
  • Publisher : SIAM
  • Release : 19 September 2021
GET THIS BOOKNumerical Methods for Evolutionary Differential Equations

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 differential equations (ODEs) arise in diverse applications such as fluid flow, image processing and computer vision, physics-based animation, mechanical systems, relativity, earth sciences, and mathematical finance. This textbook develops, analyzes,

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Drying Phenomena

Drying Phenomena
  • Author : Ibrahim Dincer,Calin Zamfirescu
  • Publisher : John Wiley & Sons
  • Release : 19 January 2016
GET THIS BOOKDrying Phenomena

Comprehensively covers conventional and novel drying systems and applications, while keeping a focus on the fundamentals of drying phenomena. Presents detailed thermodynamic and heat/mass transfer analyses in a reader-friendly and easy-to-follow approach Includes case studies, illustrative examples and problems Presents experimental and computational approaches Includes comprehensive information identifying the roles of flow and heat transfer mechanisms on the drying phenomena Considers industrial applications, corresponding criterion, complications, prospects, etc. Discusses novel drying technologies, the corresponding research platforms and potential solutions

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Time-dependent Partial Differential Equations and Their Numerical Solution

Time-dependent Partial Differential Equations and Their Numerical Solution
  • Author : Heinz-Otto Kreiss,Hedwig Ulmer Busenhart
  • Publisher : Birkhäuser
  • Release : 06 December 2012
GET THIS BOOKTime-dependent Partial Differential Equations and Their Numerical Solution

This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.

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Geometric Partial Differential Equations - Part I

Geometric Partial Differential Equations - Part I
  • Author : Anonim
  • Publisher : Elsevier
  • Release : 14 January 2020
GET THIS BOOKGeometric Partial Differential Equations - Part I

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. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and

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Numerical methods for scientists and engineers

Numerical methods for scientists and engineers
  • Author : H. M. Antia
  • Publisher : Springer
  • Release : 15 November 2012
GET THIS BOOKNumerical methods for scientists and engineers

This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems. The main addition in the third edition is a new Chapter on Statistical Inferences. There is also some addition and editing in the next chapter on Approximations. With this addition 12 new programs have also been

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Implementing Spectral Methods for Partial Differential Equations

Implementing Spectral Methods for Partial Differential Equations
  • Author : David A. Kopriva
  • Publisher : Springer Science & Business Media
  • Release : 27 May 2009
GET THIS BOOKImplementing Spectral Methods for Partial Differential Equations

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

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Partial Differential Equations and the Finite Element Method

Partial Differential Equations and the Finite Element Method
  • Author : Pavel Ŝolín
  • Publisher : John Wiley & Sons
  • Release : 16 December 2005
GET THIS BOOKPartial Differential Equations and the Finite Element Method

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. Reflecting the growing complexity and multiscalenature of current engineering and scientific problems, the authoremphasizes higher-order finite element methods such as the spectralor hp-FEM. A solid introduction to the theory of

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