Numerical Analysis in Modern Scientific Computing

Numerical Analysis in Modern Scientific Computing
Author: Peter Deuflhard
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2012-12-06
Genre: Mathematics
ISBN: 0387215840

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing
Author: Germund Dahlquist
Publisher: SIAM
Total Pages: 742
Release: 2008-01-01
Genre: Mathematics
ISBN: 0898717787

This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Classical and Modern Numerical Analysis

Classical and Modern Numerical Analysis
Author: Azmy S. Ackleh
Publisher: CRC Press
Total Pages: 628
Release: 2009-07-20
Genre: Mathematics
ISBN: 1420091581

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

Scientific Computing

Scientific Computing
Author: Michael T. Heath
Publisher: SIAM
Total Pages: 587
Release: 2018-11-14
Genre: Science
ISBN: 1611975573

This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Numerical Analysis and Scientific Computation

Numerical Analysis and Scientific Computation
Author: Jeffery J. Leader
Publisher: Addison-Wesley Longman
Total Pages: 0
Release: 2004
Genre: Numerical analysis
ISBN: 9780201734997

This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the text.

A First Course in Numerical Methods

A First Course in Numerical Methods
Author: Uri M. Ascher
Publisher: SIAM
Total Pages: 574
Release: 2011-07-14
Genre: Mathematics
ISBN: 0898719976

Offers students a practical knowledge of modern techniques in scientific computing.

Scientific Computing with Ordinary Differential Equations

Scientific Computing with Ordinary Differential Equations
Author: Peter Deuflhard
Publisher: Springer Science & Business Media
Total Pages: 498
Release: 2012-12-06
Genre: Mathematics
ISBN: 0387215824

Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

Lessons in Scientific Computing

Lessons in Scientific Computing
Author: Norbert Schorghofer
Publisher: CRC Press
Total Pages: 205
Release: 2018-09-25
Genre: Science
ISBN: 1351609815

Taking an interdisciplinary approach, this new book provides a modern introduction to scientific computing, exploring numerical methods, computer technology, and their interconnections, which are treated with the goal of facilitating scientific research across all disciplines. Each chapter provides an insightful lesson and viewpoints from several subject areas are often compounded within a single chapter. Written with an eye on usefulness, longevity, and breadth, Lessons in Scientific Computing will serve as a "one stop shop" for students taking a unified course in scientific computing, or seeking a single cohesive text spanning multiple courses. Features: Provides a unique combination of numerical analysis, computer programming, and computer hardware in a single text Includes essential topics such as numerical methods, approximation theory, parallel computing, algorithms, and examples of computational discoveries in science Not wedded to a specific programming language

Modern Software Tools for Scientific Computing

Modern Software Tools for Scientific Computing
Author: A. Bruaset
Publisher: Springer Science & Business Media
Total Pages: 387
Release: 2012-12-06
Genre: Computers
ISBN: 1461219868

Looking back at the years that have passed since the realization of the very first electronic, multi-purpose computers, one observes a tremendous growth in hardware and software performance. Today, researchers and engi neers have access to computing power and software that can solve numerical problems which are not fully understood in terms of existing mathemati cal theory. Thus, computational sciences must in many respects be viewed as experimental disciplines. As a consequence, there is a demand for high quality, flexible software that allows, and even encourages, experimentation with alternative numerical strategies and mathematical models. Extensibil ity is then a key issue; the software must provide an efficient environment for incorporation of new methods and models that will be required in fu ture problem scenarios. The development of such kind of flexible software is a challenging and expensive task. One way to achieve these goals is to in vest much work in the design and implementation of generic software tools which can be used in a wide range of application fields. In order to provide a forum where researchers could present and discuss their contributions to the described development, an International Work shop on Modern Software Tools for Scientific Computing was arranged in Oslo, Norway, September 16-18, 1996. This workshop, informally referred to as Sci Tools '96, was a collaboration between SINTEF Applied Mathe matics and the Departments of Informatics and Mathematics at the Uni versity of Oslo.