Time-Dependent Problems and Difference Methods

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Publisher : John Wiley & Sons
ISBN 13 : 1118548523
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Time-Dependent Problems and Difference Methods by : Bertil Gustafsson

Download or read book Time-Dependent Problems and Difference Methods written by Bertil Gustafsson and published by John Wiley & Sons. This book was released on 2013-07-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

Numerical Methods for Solving Time-dependent Problems for Partial Differential Equations

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Author :
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods for Solving Time-dependent Problems for Partial Differential Equations by : Heinz-Otto Kreiss

Download or read book Numerical Methods for Solving Time-dependent Problems for Partial Differential Equations written by Heinz-Otto Kreiss and published by . This book was released on 1978 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods for the Approximate Solution of Time Dependent Problems

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Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Methods for the Approximate Solution of Time Dependent Problems by : Heinz Kreiss

Download or read book Methods for the Approximate Solution of Time Dependent Problems written by Heinz Kreiss and published by . This book was released on 1973 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The theoretical analysis of numerical methods presented in this monograph will fill the need for systematic treatments in formulating finite-difference methods for geophysical fluid dynamics problems" - forward.

Finite Difference Methods for Ordinary and Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662090171
Total Pages : 479 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by : Willem Hundsdorfer

Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems

Finite Elements and Approximation

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Publisher : Courier Corporation
ISBN 13 : 048631801X
Total Pages : 356 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Finite Elements and Approximation by : O. C. Zienkiewicz

Download or read book Finite Elements and Approximation written by O. C. Zienkiewicz and published by Courier Corporation. This book was released on 2013-04-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.

Numerical Approximation of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3540852689
Total Pages : 551 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Numerical Approximation of Partial Differential Equations by : Alfio Quarteroni

Download or read book Numerical Approximation of Partial Differential Equations written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 978 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Author :
Publisher : Springer
ISBN 13 : 3319224700
Total Pages : 139 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Certified Reduced Basis Methods for Parametrized Partial Differential Equations by : Jan S Hesthaven

Download or read book Certified Reduced Basis Methods for Parametrized Partial Differential Equations written by Jan S Hesthaven and published by Springer. This book was released on 2015-08-20 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

The Numerical Method of Lines

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Author :
Publisher : Elsevier
ISBN 13 : 0128015519
Total Pages : 341 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis The Numerical Method of Lines by : William E. Schiesser

Download or read book The Numerical Method of Lines written by William E. Schiesser and published by Elsevier. This book was released on 2012-07-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."

The Optimal Homotopy Asymptotic Method

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Publisher : Springer
ISBN 13 : 3319153749
Total Pages : 476 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Optimal Homotopy Asymptotic Method by : Vasile Marinca

Download or read book The Optimal Homotopy Asymptotic Method written by Vasile Marinca and published by Springer. This book was released on 2015-04-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.

Modern Mathematical Methods in Transport Theory

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Publisher : Birkhäuser
ISBN 13 : 303485675X
Total Pages : 339 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Mathematical Methods in Transport Theory by : Greenberg

Download or read book Modern Mathematical Methods in Transport Theory written by Greenberg and published by Birkhäuser. This book was released on 2013-11-22 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.

Soil Water Conservation

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Publisher : MDPI
ISBN 13 : 3038978523
Total Pages : 258 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Soil Water Conservation by : Saskia Keesstra

Download or read book Soil Water Conservation written by Saskia Keesstra and published by MDPI. This book was released on 2019-04-11 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human needs like food and clean water are directly related to good maintenance of healthy and productive soils. A good understanding of human impact on the natural environment is therefore necessary to preserve and manage soil and water resources. This knowledge is particularly important in semi-arid and arid regions, where the increasing demands on limited water supplies require urgent efforts to improve water quality and water use efficiency. It is important to keep in mind that both soil and water are limited resources. Thus, wise use of these natural resources is a fundamental prerequisite for the sustainability of human societies. This book collects 15 original scientific contributions addressing the state of the art of soil and water conservation research. Contributions cover a wide range of topics, including (1) recovery of soil hydraulic properties; (2) erosion risk; (3) novel modeling, monitoring and experimental approaches for soil hydraulic characterization; (4) improvement of crop yields; (5) water availability; and (6) soil salinity. This collection provides more insights into conservation strategies for effective and sustainable soil and water management.

The Numerical Solution of Ordinary and Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 1483259145
Total Pages : 284 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Numerical Solution of Ordinary and Partial Differential Equations by : Granville Sewell

Download or read book The Numerical Solution of Ordinary and Partial Differential Equations written by Granville Sewell and published by Academic Press. This book was released on 2014-05-10 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Numerical Solution of Ordinary and Partial Differential Equations is an introduction to the numerical solution of ordinary and partial differential equations. Finite difference methods for solving partial differential equations are mostly classical low order formulas, easy to program but not ideal for problems with poorly behaved solutions or (especially) for problems in irregular multidimensional regions. FORTRAN77 programs are used to implement many of the methods studied. Comprised of six chapters, this book begins with a review of direct methods for the solution of linear systems, with emphasis on the special features of the linear systems that arise when differential equations are solved. The next four chapters deal with the more commonly used finite difference methods for solving a variety of problems, including both ordinary differential equations and partial differential equations, and both initial value and boundary value problems. The final chapter is an overview of the basic ideas behind the finite element method and covers the Galerkin method for boundary value problems. Examples using piecewise linear trial functions, cubic hermite trial functions, and triangular elements are presented. This monograph is appropriate for senior-level undergraduate or first-year graduate students of mathematics.

The Splitting Extrapolation Method

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Publisher : World Scientific
ISBN 13 : 9789810222178
Total Pages : 344 pages
Book Rating : 4.2/5 (221 download)

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Book Synopsis The Splitting Extrapolation Method by : C. B. Liem

Download or read book The Splitting Extrapolation Method written by C. B. Liem and published by World Scientific. This book was released on 1995 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.

Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540034407
Total Pages : 498 pages
Book Rating : 4.0/5 (344 download)

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Book Synopsis Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations by : Willem Hundsdorfer

Download or read book Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems

Numerical Solution of Differential Equations

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107163226
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Numerical Solution of Differential Equations by : Zhilin Li

Download or read book Numerical Solution of Differential Equations written by Zhilin Li and published by Cambridge University Press. This book was released on 2017-11-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.