Computer Solution of Differential Equations by Operational Methods

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (136 download)

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Book Synopsis Computer Solution of Differential Equations by Operational Methods by : Jerry Wayne McLarty

Download or read book Computer Solution of Differential Equations by Operational Methods written by Jerry Wayne McLarty and published by . This book was released on 1970 with total page 198 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 : 0898714125
Total Pages : 304 pages
Book Rating : 4.8/5 (987 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 1998-08-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all the material necessary for a course on the numerical solution of differential equations.

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.

Computer Solution of Differential Equations

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Publisher : New Central Book Agency
ISBN 13 : 9788173813382
Total Pages : 416 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Computer Solution of Differential Equations by : Arun Ghosh

Download or read book Computer Solution of Differential Equations written by Arun Ghosh and published by New Central Book Agency. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present a substantial introduction to the ideas, phenomena and methods of ordinary differential equations that are frequently found in engineering, physics, chemistry and mathematics.

Solution of Partial Differential Equations on Vector and Parallel Computers

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Publisher : SIAM
ISBN 13 : 0898710553
Total Pages : 99 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solution of Partial Differential Equations on Vector and Parallel Computers by : James M. Ortega

Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-09-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Scientific Computing and Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080516696
Total Pages : 350 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Scientific Computing and Differential Equations by : Gene H. Golub

Download or read book Scientific Computing and Differential Equations written by Gene H. Golub and published by Elsevier. This book was released on 2014-06-28 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context. This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level. An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment Contains an introduction to numerical methods for both ordinary and partial differential equations Concentrates on ordinary differential equations, especially boundary-value problems Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level

Numerical Solution of Partial Differential Equations on Parallel Computers

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Publisher : Springer Science & Business Media
ISBN 13 : 3540316191
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Solution of Partial Differential Equations on Parallel Computers by : Are Magnus Bruaset

Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.

Numerical Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1351083554
Total Pages : 385 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 385 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.

Computer Solution of Ordinary Differential Equations

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Publisher : W.H. Freeman
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Computer Solution of Ordinary Differential Equations by : Lawrence F. Shampine

Download or read book Computer Solution of Ordinary Differential Equations written by Lawrence F. Shampine and published by W.H. Freeman. This book was released on 1975 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analog Computer Solution of Partial Differential Equation

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Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Analog Computer Solution of Partial Differential Equation by : University of Michigan. Engineering Summer Conferences

Download or read book Analog Computer Solution of Partial Differential Equation written by University of Michigan. Engineering Summer Conferences and published by . This book was released on 1961 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A STOCHASTIC METHOD OF SOLVING PARTIAL DIFFERENTIAL EQUATIONS USING AN ELECTRONIC ANALOG COMPUTER

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ISBN 13 :
Total Pages : 61 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis A STOCHASTIC METHOD OF SOLVING PARTIAL DIFFERENTIAL EQUATIONS USING AN ELECTRONIC ANALOG COMPUTER by : KUEI CHUANG/ LOUIS F. KANDA / THOMAS WINDEKNECHT

Download or read book A STOCHASTIC METHOD OF SOLVING PARTIAL DIFFERENTIAL EQUATIONS USING AN ELECTRONIC ANALOG COMPUTER written by KUEI CHUANG/ LOUIS F. KANDA / THOMAS WINDEKNECHT and published by . This book was released on 1960 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Solution of Ordinary Differential Equations: the Initial Value Problem

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ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (861 download)

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Book Synopsis Computer Solution of Ordinary Differential Equations: the Initial Value Problem by : L. F. Shampine

Download or read book Computer Solution of Ordinary Differential Equations: the Initial Value Problem written by L. F. Shampine and published by . This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Ordinary Differential Equations

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Publisher : CRC Press
ISBN 13 : 1466509104
Total Pages : 801 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis A Course in Ordinary Differential Equations by : Stephen A. Wirkus

Download or read book A Course in Ordinary Differential Equations written by Stephen A. Wirkus and published by CRC Press. This book was released on 2014-12-15 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB®, Mathematica®, and MapleTM. This second edition reflects the feedback of students and professors who used the first edition in the classroom. New to the Second Edition Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology Covers linear systems in their entirety before addressing applications to nonlinear systems Incorporates the latest versions of MATLAB, Maple, and Mathematica Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization Highlights new applications and modeling in many fields Presents exercise sets that progress in difficulty Contains color graphs to help students better understand crucial concepts in ODEs Provides updated and expanded projects in each chapter Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.

A Guided Tour of Differential Equations

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Publisher : Addison Wesley Longman
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis A Guided Tour of Differential Equations by : Alexandra Skidmore

Download or read book A Guided Tour of Differential Equations written by Alexandra Skidmore and published by Addison Wesley Longman. This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ODE workbook develops more than 50 projects that require a CAS. Some are designed to get the student into the right mode of thinking for that topic, be it solutions, integrating factors, linear operations, and so forth. The syntax for using Maple, Mathematica and Derive are provided.

Special Functions and Analysis of Differential Equations

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Publisher : CRC Press
ISBN 13 : 1000078566
Total Pages : 371 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Special Functions and Analysis of Differential Equations by : Praveen Agarwal

Download or read book Special Functions and Analysis of Differential Equations written by Praveen Agarwal and published by CRC Press. This book was released on 2020-09-08 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.

Computer Arithmetic and Self-Validating Numerical Methods

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Publisher : Academic Press
ISBN 13 : 1483267814
Total Pages : 316 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Computer Arithmetic and Self-Validating Numerical Methods by : Christian Ullrich

Download or read book Computer Arithmetic and Self-Validating Numerical Methods written by Christian Ullrich and published by Academic Press. This book was released on 2014-05-10 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume VII: Computer Arithmetic and Self-Validating Numerical Methods compiles papers presented at the first international conference on “Computer Arithmetic and Self-Validating Numerical Methods, held in Basel from October 2 to 6, 1989. This book begins by providing a tutorial introduction to computer arithmetic with operations of maximum accuracy, differentiation arithmetic and enclosure methods, and programming languages for self-validating numerical methods. The rest of the chapters discuss the determination of guaranteed bounds for eigenvalues by variational methods and guaranteed inclusion of solutions of differential equations. An appendix covering the IMACS-GAMM resolution on computer arithmetic is provided at the end of this publication. This volume is recommended for researchers and professionals working on computer arithmetic and self-validating numerical methods.

Computer methods in solution of differential equations

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Publisher :
ISBN 13 :
Total Pages : 211 pages
Book Rating : 4.:/5 (467 download)

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Book Synopsis Computer methods in solution of differential equations by : Jørgen Kjær

Download or read book Computer methods in solution of differential equations written by Jørgen Kjær and published by . This book was released on 1972 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: