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Author : layne t. watson
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)
Download or read book numerical linear algebra aspects of globally convergent homotopy methods written by layne t. watson and published by . This book was released on 1986 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : layne t. watson
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.3/5 (91 download)
Download or read book globally convergent homotopy methods: a tutorial written by layne t. watson and published by . This book was released on 1986 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene L. Allgower
Publisher : SIAM
ISBN 13 : 9780898719154
Total Pages : 413 pages
Book Rating : 4.7/5 (191 download)
Download or read book Introduction to Numerical Continuation Methods written by Eugene L. Allgower and published by SIAM. This book was released on 2003-01-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. The book also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals. To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs. Audience: this book continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business. A background in elementary analysis and linear algebra are adequate prerequisites for reading this book; some knowledge from a first course in numerical analysis may also be helpful.
Author : Eugene L. Allgower
Publisher : Springer Science & Business Media
ISBN 13 : 3642612571
Total Pages : 402 pages
Book Rating : 4.6/5 (426 download)
Download or read book Numerical Continuation Methods written by Eugene L. Allgower and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. This book provides an introduction to and an up-to-date survey of numerical continuation methods (tracing of implicitly defined curves) of both predictor-corrector and piecewise-linear types. It presents and analyzes implementations aimed at applications to the computation of zero points, fixed points, nonlinear eigenvalue problems, bifurcation and turning points, and economic equilibria. Many algorithms are presented in a pseudo code format. An appendix supplies five sample FORTRAN programs with numerical examples, which readers can adapt to fit their purposes, and a description of the program package SCOUT for analyzing nonlinear problems via piecewise-linear methods. An extensive up-to-date bibliography spanning 46 pages is included. The material in this book has been presented to students of mathematics, engineering and sciences with great success, and will also serve as a valuable tool for researchers in the field.
Author : Daniel Zwillinger
Publisher : Academic Press
ISBN 13 : 1483263967
Total Pages : 808 pages
Book Rating : 4.4/5 (832 download)
Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by Academic Press. This book was released on 2014-05-12 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Differential Equations, Second Edition is a handy reference to many popular techniques for solving and approximating differential equations, including numerical methods and exact and approximate analytical methods. Topics covered range from transformations and constant coefficient linear equations to Picard iteration, along with conformal mappings and inverse scattering. Comprised of 192 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
Author : David Ronald Kincaid
Publisher : American Mathematical Soc.
ISBN 13 : 0821847880
Total Pages : 810 pages
Book Rating : 4.8/5 (218 download)
Download or read book Numerical Analysis written by David Ronald Kincaid and published by American Mathematical Soc.. This book was released on 2009 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Author : J. J. Dongarra
Publisher : SIAM
ISBN 13 : 9780898713039
Total Pages : 678 pages
Book Rating : 4.7/5 (13 download)
Download or read book Proceedings of the Fifth SIAM Conference on Parallel Processing for Scientific Computing written by J. J. Dongarra and published by SIAM. This book was released on 1992-01-01 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives the proceedings for the fifth conference on parallel processing for scientific computing.
Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521443562
Total Pages : 344 pages
Book Rating : 4.4/5 (435 download)
Download or read book Acta Numerica 1993: Volume 2 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1993-04-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the tradition established with the 1992 volume, this 1993's Acta Numerica presents six invited papers on a broad range of topics from numerical analysis. Papers treat each topic at a level intelligible by any numerical analyst from graduate student to professional.
Author : Tse-yun Feng
Publisher : CRC Press
ISBN 13 : 9780849301933
Total Pages : 372 pages
Book Rating : 4.3/5 (19 download)
Download or read book Proceedings 20th International Conference Parallel Processing 1991 written by Tse-yun Feng and published by CRC Press. This book was released on 1991-07-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : layne t. watson, stephen c. billups, alexander p. morgan
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book hompack: a suite of codes for globally convergent homotopy algorithms written by layne t. watson, stephen c. billups, alexander p. morgan and published by . This book was released on 1985 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Pierre Corriou
Publisher : Springer Nature
ISBN 13 : 3030893669
Total Pages : 730 pages
Book Rating : 4.0/5 (38 download)
Download or read book Numerical Methods and Optimization written by Jean-Pierre Corriou and published by Springer Nature. This book was released on 2022-01-04 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in MatlabTM is available on the author’s personal website and presents both numerical and optimization methods.
Author : J. J. Dongarra
Publisher : SIAM
ISBN 13 : 9780898712629
Total Pages : 486 pages
Book Rating : 4.7/5 (126 download)
Download or read book Proceedings of the Fourth SIAM Conference on Parallel Processing for Scientific Computing written by J. J. Dongarra and published by SIAM. This book was released on 1990-01-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Author : Michael T. Heath
Publisher : SIAM
ISBN 13 : 9780898712155
Total Pages : 796 pages
Book Rating : 4.7/5 (121 download)
Download or read book Hypercube Multiprocessors, 1987 written by Michael T. Heath and published by SIAM. This book was released on 1987-01-01 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Author : John L. Nazareth
Publisher : Springer Science & Business Media
ISBN 13 : 0387217886
Total Pages : 255 pages
Book Rating : 4.3/5 (872 download)
Download or read book Differentiable Optimization and Equation Solving written by John L. Nazareth and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the dramatic reorganization in reaction to N. Karmakar’s seminal 1984 paper on algorithmic linear programming in the area of algorithmic differentiable optimization and equation-solving, or, more simply, algorithmic differentiable programming. Aimed at readers familiar with advanced calculus and numerical analysis.
Author : Marco Locatelli
Publisher : SIAM
ISBN 13 : 1611972663
Total Pages : 439 pages
Book Rating : 4.6/5 (119 download)
Download or read book Global Optimization written by Marco Locatelli and published by SIAM. This book was released on 2013-10-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a thorough overview of the rapidly growing field of global optimization, with chapters on key topics such as complexity, heuristic methods, derivation of lower bounds for minimization problems, and branch-and-bound methods and convergence. The final chapter offers both benchmark test problems and applications of global optimization, such as finding the conformation of a molecule or planning an optimal trajectory for interplanetary space travel. An appendix provides fundamental information on convex and concave functions. Intended for Ph.D. students, researchers, and practitioners looking for advanced solution methods to difficult optimization problems. It can be used as a supplementary text in an advanced graduate-level seminar.
Author : Hojjat Adeli
Publisher : CRC Press
ISBN 13 : 1000104680
Total Pages : 377 pages
Book Rating : 4.0/5 (1 download)
Download or read book Supercomputing in Engineering Analysis written by Hojjat Adeli and published by CRC Press. This book was released on 2020-08-13 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume in this new series has a companion in volume 2 (unseen), Parallel processing in computational mechanics . The first six contributions present general aspects of supercomputing from both hardware and software engineering points of view. Subsequent chapters discuss homotopy algorithms
Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
