Numerical Solution Of Systems Of Nonlinear Algebraic Equations
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Numerical Solution Of Systems Of Nonlinear Algebraic Equations
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Author : George D. Byrne
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Numerical Solution Of Systems Of Nonlinear Algebraic Equations written by George D. Byrne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solution of Systems of Nonlinear Algebraic Equations contains invited lectures of the NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, held on July 10-14, 1972. This book is composed of 10 chapters and begins with the concepts of nonlinear algebraic equations in continuum mechanics. The succeeding chapters deal with the numerical solution of quasilinear elliptic equations, the nonlinear systems in semi-infinite programming, and the solution of large systems of linear algebraic equations. These topics are followed by a survey of some computational techniques for the nonlinear least squares problem. The remaining chapters explore the problem of nonlinear functional minimization, the modification methods, and the computer-oriented algorithms for solving system. These chapters also examine the principles of contractor theory of solving equations. This book will prove useful to undergraduate and graduate students.
Numerical Methods For Nonlinear Algebraic Equations
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Author : British Computer Society. Numerical Analysis Specialist Group
language : en
Publisher: Gordon & Breach Publishing Group
Release Date : 1970
Numerical Methods For Nonlinear Algebraic Equations written by British Computer Society. Numerical Analysis Specialist Group and has been published by Gordon & Breach Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
Nsf Cbms Regional Conference On The Numerical Solution Of Nonlinear Algebraic Systems With Applications To Problems In Physics Engineering And Economics University Of Pittsburgh 1972
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Author : George D. Byrne
language : en
Publisher:
Release Date :
Nsf Cbms Regional Conference On The Numerical Solution Of Nonlinear Algebraic Systems With Applications To Problems In Physics Engineering And Economics University Of Pittsburgh 1972 written by George D. Byrne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Equations categories.
Numerical Solution Of Systems Of Nonlinear Algebraic Equations
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Author :
language : en
Publisher:
Release Date : 1973
Numerical Solution Of Systems Of Nonlinear Algebraic Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Programming For Computations Matlab Octave
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Author : Svein Linge
language : en
Publisher: Springer
Release Date : 2016-08-01
Programming For Computations Matlab Octave written by Svein Linge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-01 with Computers categories.
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
Differential Algebraic Equations
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Author : Peter Kunkel
language : en
Publisher: European Mathematical Society
Release Date : 2006
Differential Algebraic Equations written by Peter Kunkel and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Boundary value problems categories.
Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge-Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.
Computational Solution Of Nonlinear Systems Of Equations
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Author : Eugene L. Allgower
language : en
Publisher: American Mathematical Soc.
Release Date : 1990-04-03
Computational Solution Of Nonlinear Systems Of Equations written by Eugene L. Allgower and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-03 with Mathematics categories.
Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.
Numerical Solutions Of Boundary Value Problems Of Non Linear Differential Equations
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Author : Sujaul Chowdhury
language : en
Publisher: CRC Press
Release Date : 2021-10-25
Numerical Solutions Of Boundary Value Problems Of Non Linear Differential Equations written by Sujaul Chowdhury and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Mathematics categories.
The book presents in comprehensive detail numerical solutions to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations leads to a system of non-linear algebraic equations which we have solved using Newton’s iterative method. In each case, we have also obtained Euler solutions and ascertained that the iterations converge to Euler solutions. We find that, except for the boundary values, initial values of the 1st iteration need not be anything close to the final convergent values of the numerical solution. Programs in Mathematica 6.0 were written to obtain the numerical solutions.
Nonlinear Ordinary Differential Equations
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Author : Martin Hermann
language : en
Publisher: Springer
Release Date : 2016-05-09
Nonlinear Ordinary Differential Equations written by Martin Hermann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-09 with Mathematics categories.
The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs. The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-system problems. Students often rely on the finite element method to such an extent that on graduation they have little or no knowledge of alternative methods of solving problems. To rectify this, the book introduces several new approximation techniques.
The Numerical Solution Of Algebraic Equations
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Author : R. Wait
language : en
Publisher: John Wiley & Sons
Release Date : 1979
The Numerical Solution Of Algebraic Equations written by R. Wait 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 1979 with Mathematics categories.