Applied Mathematics and Scientific Computing

Author: Zlatko Drmac
Publisher: Springer Science & Business Media
ISBN: 9781475745320
Release Date: 2013-06-29
Genre: Computers

Proceedings of the second conference on Applied Mathematics and Scientific Computing, held June 4-9, 2001 in Dubrovnik, Croatia. The main idea of the conference was to bring together applied mathematicians both from outside academia, as well as experts from other areas (engineering, applied sciences) whose work involves advanced mathematical techniques. During the meeting there were one complete mini-course, invited presentations, contributed talks and software presentations. A mini-course Schwarz Methods for Partial Differential Equations was given by Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited presentations were given by active researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix theory and mathematical physics (fluid mechanics and elasticity). This volume contains the mini-course and review papers by invited speakers (Part I), as well as selected contributed presentations from the field of analysis, numerical mathematics, and engineering applications.

Applied Mathematics for Science and Engineering

Author: Larry A. Glasgow
Publisher: John Wiley & Sons
ISBN: 9781118749920
Release Date: 2014-09-09
Genre: Technology & Engineering

Prepare students for success in using applied mathematics for engineering practice and post-graduate studies • moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques • Uses different examples from chemical, civil, mechanical and various other engineering fields • Based on a decade’s worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers • Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

Iterative Solution of Nonlinear Equations in Several Variables

Author: J. M. Ortega
Publisher: Elsevier
ISBN: 9781483276724
Release Date: 2014-05-10
Genre: Mathematics

Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.

Numerical Analysis for Applied Science

Author: Myron B. Allen, III
Publisher: John Wiley & Sons
ISBN: 9781119245667
Release Date: 2019-04-05
Genre: Mathematics

Pragmatic and Adaptable Textbook Meets the Needs of Students and Instructors from Diverse Fields Numerical analysis is a core subject in data science and an essential tool for applied mathematicians, engineers, and physical and biological scientists. This updated and expanded edition of Numerical Analysis for Applied Science follows the tradition of its precursor by providing a modern, flexible approach to the theory and practical applications of the field. As before, the authors emphasize the motivation, construction, and practical considerations before presenting rigorous theoretical analysis. This approach allows instructors to adapt the textbook to a spectrum of uses, ranging from one-semester, methods-oriented courses to multi-semester theoretical courses. The book includes an expanded first chapter reviewing useful tools from analysis and linear algebra. Subsequent chapters include clearly structured expositions covering the motivation, practical considerations, and theory for each class of methods. The book includes over 250 problems exploring practical and theoretical questions and 32 pseudocodes to help students implement the methods. Other notable features include: A preface providing advice for instructors on using the text for a single semester course or multiple-semester sequence of courses Discussion of topics covered infrequently by other texts at this level, such as multidimensional interpolation, quasi-Newton methods in several variables, multigrid methods, preconditioned conjugate-gradient methods, finite-difference methods for partial differential equations, and an introduction to finite-element theory New topics and expanded treatment of existing topics to address developments in the field since publication of the first edition More than twice as many computational and theoretical exercises as the first edition. Numerical Analysis for Applied Science, Second Edition provides an excellent foundation for graduate and advanced undergraduate courses in numerical methods and numerical analysis. It is also an accessible introduction to the subject for students pursuing independent study in applied mathematics, engineering, and the physical and life sciences and a valuable reference for professionals in these areas.

Proceedings of the Conference on Applied Mathematics and Scientific Computing

Author: Zlatko Drmac
Publisher: Springer Science & Business Media
ISBN: 1402031963
Release Date: 2005-02-23
Genre: Mathematics

The Third Conference on Applied Mathematics and Scienti'c Computing took place June 23-27, 2003 on island of Brijuni, Croatia. The main goal of the conference was to interchange ideas among applied mathematicians in the broadest sense both from and outside academia, as well as experts from other areas who apply different mathematical techniques. During the meeting there were invited and contributed talksand software presentations. Invited presentations were given by active researchers from the ?eldsof approximation theory, numerical methods for differential equations and numericallinear algebra. These proceedings contain research and review papers by invited speakers and selected contributed papers from the ?elds of applied and numerical mathematics. A particular aim of the conference was to encourage young scientists to present results of their research. Traditionally, the best presentation given by PhD student was rewarded. This year awardee was Luka Grubisi ? c ́ (University of Hagen, Hagen, Germany) and we congratulate him for this achievement. It would be hard to organize the conference without generous support of the Croatian Ministry of Science and Technology and we acknowledge it. We are also indebted to themainorganizer, Department of Mathematics, University of Zagreb.Motivating beautiful nature should bealso mentioned.And,attheend, we are thankful to Drs. JosipTambaca ? and Ivica Nakic ́ for giving this book its ?nal shape.

Applied Numerical Linear Algebra

Author: James W. Demmel
Publisher: SIAM
ISBN: 9781611971446
Release Date: 1997-01-01
Genre: Algebras, Linear

Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition. The author, who helped design the widely-used LAPACK and ScaLAPACK linear algebra libraries, draws on this experience to present state-of-the-art techniques for these problems, including recommendations of which algorithms to use in a variety of practical situations. Algorithms are derived in a mathematically illuminating way, including condition numbers and error bounds. Direct and iterative algorithms, suitable for dense and sparse matrices, are discussed. Algorithm design for modern computer architectures, where moving data is often more expensive than arithmetic operations, is discussed in detail, using LAPACK as an illustration. There are many numerical examples throughout the text and in the problems at the ends of chapters, most of which are written in Matlab and are freely available on the Web. Demmel discusses several current research topics, making students aware of both the lively research taking place and connections to other parts of numerical analysis, mathematics, and computer science. Some of this material is developed in questions at the end of each chapter, which are marked Easy, Medium, or Hard according to their difficulty. Some questions are straightforward, supplying proofs of lemmas used in the text. Others are more difficult theoretical or computing problems. Questions involving significant amounts of programming are marked Programming. The computing questions mainly involve Matlab programming, and others involve retrieving, using, and perhaps modifying LAPACK code from NETLIB.

Applied Computational Mathematics in Social Sciences

Author: Romulus-Catalin Damaceanu
Publisher: Bentham Science Publishers
ISBN: 1608050890
Release Date: 2010-01-01
Genre: Computers

Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.

Parallel Processing and Applied Mathematics

Author: Roman Wyrzykowski
Publisher: Springer Science & Business Media
ISBN: 9783540437925
Release Date: 2002-06-12
Genre: Computers

This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Parallel Processing and Applied Mathematics, PPAM 2002, held in Naleczow, Poland, in September 2001. The 101 papers presented were carefully reviewed and improved during two rounds of reviewing and revision. The book offers topical sections on distributed and grid architectures, scheduling and load balancing, performance analysis and prediction, parallel non-numerical algorithms, parallel programming, tools and environments, parallel numerical algorithms, applications, and evolutionary computing and neural networks.

Applied Matrix Algebra

Author: Lawrence Harvill
Publisher: Xlibris Corporation
ISBN: 1462883567
Release Date: 2011-07-01
Genre: Mathematics

Applied Matrix Algebra aims to develop an understanding of the Fundamentals of matrix algebra as well as the differential and integral calculus of matrices that are fundamental for the analysis of a wide range of applied problems. When used in conjunction with a matrix computational program, you will be in a position to readily analyze sophisticated and complex applied problems. Completion of the text should also prepare you for moving on to much more theoretical and advanced topics in linear algebra. You will understand not only the mathematical complexities of the subject, but also gain a greater insight into the intricate details of the computational algorithms with this helpful book.