Automatic Multirate Methods for Ordinary Differential Equations

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ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Automatic Multirate Methods for Ordinary Differential Equations by : Charles William Gear

Download or read book Automatic Multirate Methods for Ordinary Differential Equations written by Charles William Gear and published by . This book was released on 1980 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automatic Multirate Methods for Ordinary Differential Equations. [Adaptive Time Steps].

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Automatic Multirate Methods for Ordinary Differential Equations. [Adaptive Time Steps]. by :

Download or read book Automatic Multirate Methods for Ordinary Differential Equations. [Adaptive Time Steps]. written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A study is made of the application of integration methods in which different step sizes are used for different members of a system of equations. Such methods can result in savings if the cost of derivative evaluation is high or if a system is sparse; however, the estimation and control of errors is very difficult and can lead to high overheads. Three approaches are discussed, and it is shown that the least intuitive is the most promising. 2 figures.

Multirate Methods for Ordinary Differential Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Multirate Methods for Ordinary Differential Equations by :

Download or read book Multirate Methods for Ordinary Differential Equations written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multirate Linear Multistep Methods for the Solution of Systems of Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Multirate Linear Multistep Methods for the Solution of Systems of Ordinary Differential Equations by : Daniel R. Wells

Download or read book Multirate Linear Multistep Methods for the Solution of Systems of Ordinary Differential Equations written by Daniel R. Wells and published by . This book was released on 1982 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Self-starting Multistep Methods for the Numerical Integration of Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Self-starting Multistep Methods for the Numerical Integration of Ordinary Differential Equations by : William A. Mersman

Download or read book Self-starting Multistep Methods for the Numerical Integration of Ordinary Differential Equations written by William A. Mersman and published by . This book was released on 1965 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automatic Methods for Solving Systems of Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Automatic Methods for Solving Systems of Ordinary Differential Equations by : R. England

Download or read book Automatic Methods for Solving Systems of Ordinary Differential Equations written by R. England and published by . This book was released on 1967 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods

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Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (464 download)

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Book Synopsis Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods by : S. Skelboe

Download or read book Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods written by S. Skelboe and published by . This book was released on 1984 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multirate Ordinary Differential Equation Intergrator. [MRATE, in FORTRAN for IBM 360/75, CYBER 175, and INTERDATA 7/32].

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Multirate Ordinary Differential Equation Intergrator. [MRATE, in FORTRAN for IBM 360/75, CYBER 175, and INTERDATA 7/32]. by :

Download or read book Multirate Ordinary Differential Equation Intergrator. [MRATE, in FORTRAN for IBM 360/75, CYBER 175, and INTERDATA 7/32]. written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the work on the numerical integration of systems of ordinary differential equations concerns itself with integrating all the variables simultaneously. There has been little theoretical work on integrating the variables separately (multirate methods), and even less in implementing a multirate ordinary differential equation integrator. A multirate integrator is presented in this work, and different schemes are tested. The implemented multirate integrator is applied to a variety of test problems, and experimental results are plotted. These show the possibility of large efficiency gains in using multirate methods for a variety of systems of ordinary differential equations. 8 figures.

Multirate Integration Methods

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Multirate Integration Methods by : Stig Skelboe

Download or read book Multirate Integration Methods written by Stig Skelboe and published by . This book was released on 1984 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automatic integration of ordinary differential equations

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (632 download)

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Book Synopsis Automatic integration of ordinary differential equations by : J. A. Zonneveld

Download or read book Automatic integration of ordinary differential equations written by J. A. Zonneveld and published by . This book was released on 1963 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Publisher : SIAM
ISBN 13 : 9781611971392
Total Pages : 305 pages
Book Rating : 4.9/5 (713 download)

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Book Synopsis Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations by : Uri M. Ascher

Download or read book Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well-informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.

Waveform Methods for Ordinary Differential Equations

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ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Waveform Methods for Ordinary Differential Equations by : Fen-Lien Juang

Download or read book Waveform Methods for Ordinary Differential Equations written by Fen-Lien Juang and published by . This book was released on 1990 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: We show how to compute the rate of order increase from the structure of the numbered graph and hence the optimum numbering, that is, the one which maximizes the speed of convergence. Finally, in a variety of numerical experiments, conducted on a Sun 3/60, we demonstrate the different speeds of convergence correspond[ing] to different numberings and the effectiveness of the waveform Gauss-Seidel method for large sparse systems."

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 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 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Ordinary Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 1119121507
Total Pages : 546 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Numerical Methods for Ordinary Differential Equations by : J. C. Butcher

Download or read book Numerical Methods for Ordinary Differential Equations written by J. C. Butcher and published by John Wiley & Sons. This book was released on 2016-08-29 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of this classic work, comprehensively revised to present exciting new developments in this important subject The study of numerical methods for solving ordinary differential equations is constantly developing and regenerating, and this third edition of a popular classic volume, written by one of the world’s leading experts in the field, presents an account of the subject which reflects both its historical and well-established place in computational science and its vital role as a cornerstone of modern applied mathematics. In addition to serving as a broad and comprehensive study of numerical methods for initial value problems, this book contains a special emphasis on Runge-Kutta methods by the mathematician who transformed the subject into its modern form dating from his classic 1963 and 1972 papers. A second feature is general linear methods which have now matured and grown from being a framework for a unified theory of a wide range of diverse numerical schemes to a source of new and practical algorithms in their own right. As the founder of general linear method research, John Butcher has been a leading contributor to its development; his special role is reflected in the text. The book is written in the lucid style characteristic of the author, and combines enlightening explanations with rigorous and precise analysis. In addition to these anticipated features, the book breaks new ground by including the latest results on the highly efficient G-symplectic methods which compete strongly with the well-known symplectic Runge-Kutta methods for long-term integration of conservative mechanical systems. This third edition of Numerical Methods for Ordinary Differential Equations will serve as a key text for senior undergraduate and graduate courses in numerical analysis, and is an essential resource for research workers in applied mathematics, physics and engineering.

The Automatic Integration Package for Ordinary Differential Equations

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ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Automatic Integration Package for Ordinary Differential Equations by : University of Illinois (Urbana-Champaign campus). Department of Computer Science

Download or read book The Automatic Integration Package for Ordinary Differential Equations written by University of Illinois (Urbana-Champaign campus). Department of Computer Science and published by . This book was released on 1968 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Numerical Methods for Ordinary Differential Equations

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Modern Numerical Methods for Ordinary Differential Equations by : G. Hall

Download or read book Modern Numerical Methods for Ordinary Differential Equations written by G. Hall and published by Oxford University Press, USA. This book was released on 1976 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1351092006
Total Pages : 349 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Numerical Methods for Differential Equations by : J.R. Dormand

Download or read book Numerical Methods for Differential Equations written by J.R. Dormand and published by CRC Press. This book was released on 2018-05-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.