Numerical Solutions of Nonlinear STIFF Initial Value Problems by Perturbed Functional Iterations PDF Download
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Author:
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ISBN:
Category :
Languages : en
Pages : 44
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
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Author: S. K. Dey
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 35
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Author: Suhrit Dey
Publisher: CRC Press
ISBN: 1040014933
Category : Mathematics
Languages : en
Pages : 327
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Perturbed functional iterations (PFI) is a large‐scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‐conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents
Author: K. E. Brenan
Publisher: SIAM
ISBN: 0898713536
Category : Mathematics
Languages : en
Pages : 261
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Book Description
This book describes some of the places where differential-algebraic equations (DAE's) occur.
Author: G. Hall
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 358
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Author: Ernst Hairer
Publisher: Springer Science & Business Media
ISBN: 3662099470
Category : Mathematics
Languages : en
Pages : 615
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Book Description
"Whatever regrets may be, we have done our best." (Sir Ernest Shackleton, turning back on 9 January 1909 at 88°23' South.) Brahms struggled for 20 years to write his first symphony. Compared to this, the 10 years we have been working on these two volumes may even appear short. This second volume treats stiff differential equations and differential alge braic equations. It contains three chapters: Chapter IV on one-step (Runge Kutta) methods for stiff problems, Chapter Von multistep methods for stiff problems, and Chapter VI on singular perturbation and differential-algebraic equations. Each chapter is divided into sections. Usually the first sections of a chapter are of an introductory nature, explain numerical phenomena and exhibit numerical results. Investigations of a more theoretieal nature are presented in the later sections of each chapter. As in Volume I, the formulas, theorems, tables and figures are numbered consecutively in each section and indicate, in addition, the section num ber. In cross references to other chapters the (latin) chapter number is put first. References to the bibliography are again by "author" plus "year" in parentheses. The bibliography again contains only those papers which are discussed in the text and is in no way meant to be complete.
Author:
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Category : Aeronautics
Languages : en
Pages : 500
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Author: Kathryn Eleda Brenan
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 232
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Author: Christopher T. H. Baker
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 394
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Author: W. H. Hundsdorfer
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
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