Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations
DOWNLOAD
Download Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Numerical Solution Of Initial Value Problems In Differential Algebraic Equations
DOWNLOAD
Author : K. E. Brenan
language : en
Publisher: SIAM
Release Date : 1996-01-01
Numerical Solution Of Initial Value Problems In Differential Algebraic Equations written by K. E. Brenan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
This book describes some of the places where differential-algebraic equations (DAE's) occur.
Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations
DOWNLOAD
Author : Steven L. Lee
language : en
Publisher:
Release Date : 1993
Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations written by Steven L. Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Multiprocesors categories.
Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations
DOWNLOAD
Author : Steven Lewis Lee
language : en
Publisher:
Release Date : 1993
Krylov Methods For The Numerical Solution Of Initial Value Problems In Differential Algebraic Equations written by Steven Lewis Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Numerical Solution Of Ordinary Differential Equations
DOWNLOAD
Author : Kendall Atkinson
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-24
Numerical Solution Of Ordinary Differential Equations written by Kendall Atkinson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Mathematics categories.
A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.
Ordinary Differential Equations And Integral Equations
DOWNLOAD
Author : C.T.H. Baker
language : en
Publisher: Elsevier
Release Date : 2001-06-20
Ordinary Differential Equations And Integral Equations written by C.T.H. Baker and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-20 with Mathematics categories.
/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! This volume contains contributions in the area of differential equations and integral equations. Many numerical methods have arisen in response to the need to solve "real-life" problems in applied mathematics, in particular problems that do not have a closed-form solution. Contributions on both initial-value problems and boundary-value problems in ordinary differential equations appear in this volume. Numerical methods for initial-value problems in ordinary differential equations fall naturally into two classes: those which use one starting value at each step (one-step methods) and those which are based on several values of the solution (multistep methods).John Butcher has supplied an expert's perspective of the development of numerical methods for ordinary differential equations in the 20th century. Rob Corless and Lawrence Shampine talk about established technology, namely software for initial-value problems using Runge-Kutta and Rosenbrock methods, with interpolants to fill in the solution between mesh-points, but the 'slant' is new - based on the question, "How should such software integrate into the current generation of Problem Solving Environments?"Natalia Borovykh and Marc Spijker study the problem of establishing upper bounds for the norm of the nth power of square matrices.The dynamical system viewpoint has been of great benefit to ODE theory and numerical methods. Related is the study of chaotic behaviour.Willy Govaerts discusses the numerical methods for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems.Arieh Iserles and Antonella Zanna survey the construction of Runge-Kutta methods which preserve algebraic invariant functions.Valeria Antohe and Ian Gladwell present numerical experiments on solving a Hamiltonian system of Hénon and Heiles with a symplectic and a nonsymplectic method with a variety of precisions and initial conditions.Stiff differential equations first became recognized as special during the 1950s. In 1963 two seminal publications laid to the foundations for later development: Dahlquist's paper on A-stable multistep methods and Butcher's first paper on implicit Runge-Kutta methods.Ernst Hairer and Gerhard Wanner deliver a survey which retraces the discovery of the order stars as well as the principal achievements obtained by that theory.Guido Vanden Berghe, Hans De Meyer, Marnix Van Daele and Tanja Van Hecke construct exponentially fitted Runge-Kutta methods with s stages.Differential-algebraic equations arise in control, in modelling of mechanical systems and in many other fields.Jeff Cash describes a fairly recent class of formulae for the numerical solution of initial-value problems for stiff and differential-algebraic systems.Shengtai Li and Linda Petzold describe methods and software for sensitivity analysis of solutions of DAE initial-value problems.Again in the area of differential-algebraic systems, Neil Biehn, John Betts, Stephen Campbell and William Huffman present current work on mesh adaptation for DAE two-point boundary-value problems.Contrasting approaches to the question of how good an approximation is as a solution of a given equation involve (i) attempting to estimate the actual error (i.e., the difference between the true and the approximate solutions) and (ii) attempting to estimate the defect - the amount by which the approximation fails to satisfy the given equation and any side-conditions.The paper by Wayne Enright on defect control relates to carefully analyzed techniques that have been proposed both for ordinary differential equations and for delay differential equations in which an attempt is made to control an estimate of the size of the defect.Many phenomena incorporate noise, and the numerical solution of
Handbook Of Numerical Analysis
DOWNLOAD
Author : Philippe G. Ciarlet
language : en
Publisher: Gulf Professional Publishing
Release Date : 2002
Handbook Of Numerical Analysis written by Philippe G. Ciarlet and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Bible categories.
Numerical Analysis Of Ordinary Differential Equations And Its Applications
DOWNLOAD
Author : Taketomo Mitsui
language : en
Publisher: World Scientific
Release Date : 1995
Numerical Analysis Of Ordinary Differential Equations And Its Applications written by Taketomo Mitsui and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.
Solving Differential Equations In R
DOWNLOAD
Author : Karline Soetaert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-06
Solving Differential Equations In R written by Karline Soetaert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-06 with Computers categories.
Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra
DOWNLOAD
Author : John Gregg Lewis
language : en
Publisher: SIAM
Release Date : 1994-01-01
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra written by John Gregg Lewis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering
DOWNLOAD
Author : David E. Keyes
language : en
Publisher: SIAM
Release Date : 1995-01-01
Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering written by David E. Keyes and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
This volume is one attempt to provide cross-disciplinary communication between heterogeneous computational groups developing solutions to problems of parallelization.