Mathematical Principles For Scientific Computing And Visualization

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Mathematical Principles for Scientific Computing and Visualization

Gerald Farin,Dianne Hansford
Mathematical Principles for Scientific Computing and Visualization Book PDF

Author : Gerald Farin,Dianne Hansford
Publisher : CRC Press
Page : 286 pages
File Size : 54,9 Mb
Release : 2008-10-21
Category : Computers
ISBN : 9781439865040

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Mathematical Principles for Scientific Computing and Visualization by Gerald Farin,Dianne Hansford Pdf

This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coo

Mathematical Principles for Scientific Computing and Visualization

Gerald Farin,Dianne Hansford
Mathematical Principles for Scientific Computing and Visualization Book PDF

Author : Gerald Farin,Dianne Hansford
Publisher : CRC Press
Page : 296 pages
File Size : 50,7 Mb
Release : 2008-10-21
Category : Mathematics
ISBN : 9781568813219

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Mathematical Principles for Scientific Computing and Visualization by Gerald Farin,Dianne Hansford Pdf

This non-traditional introduction to the mathematics of scientific computation describes the principles behind the major methods, from statistics, applied mathematics, scientific visualization, and elsewhere, in a way that is accessible to a large part of the scientific community. Introductory material includes computational basics, a review of coordinate systems, an introduction to facets (planes and triangle meshes) and an introduction to computer graphics. The scientific computing part of the book covers topics in numerical linear algebra (basics, solving linear system, eigen-problems, SVD, and PCA) and numerical calculus (basics, data fitting, dynamic processes, root finding, and multivariate functions). The visualization component of the book is separated into three parts: empirical data, scalar values over 2D data, and volumes.

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Torsten Möller,Bernd Hamann,Robert D. Russell
Mathematical Foundations of Scientific Visualization Computer Graphics and Massive Data Exploration Book PDF

Author : Torsten Möller,Bernd Hamann,Robert D. Russell
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 45,6 Mb
Release : 2009-06-12
Category : Computers
ISBN : 9783540499268

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Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration by Torsten Möller,Bernd Hamann,Robert D. Russell Pdf

The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

Relativity and Scientific Computing

Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder
Relativity and Scientific Computing Book PDF

Author : Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642957321

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Relativity and Scientific Computing by Friedrich W Hehl,Roland A. Puntigam,Hanns Ruder Pdf

For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration

Torsten Möller,Bernd Hamann,Robert D. Russell
Mathematical Foundations of Scientific Visualization Computer Graphics and Massive Data Exploration Book PDF

Author : Torsten Möller,Bernd Hamann,Robert D. Russell
Publisher : Springer
Page : 350 pages
File Size : 42,9 Mb
Release : 2009-08-29
Category : Computers
ISBN : 3540860789

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Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration by Torsten Möller,Bernd Hamann,Robert D. Russell Pdf

The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.

Guide to Scientific Computing

Peter R. Turner
Guide to Scientific Computing Book PDF

Author : Peter R. Turner
Publisher : CRC Press
Page : 314 pages
File Size : 43,5 Mb
Release : 2001
Category : Computers
ISBN : 0849312426

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Guide to Scientific Computing by Peter R. Turner Pdf

This book introduces the reader to many of the problems of scientific computing and the wide variety of methods used for their solutions. It discusses basic approaches and stimulates an appreciation of the need for numerical methods in solving different types of problems. For each of the problems presented, the author provides some mathematical justification and examples. These serve as practical evidence and motivation for the reader to follow. Practical justification of the methods is provided through computer examples and exercises. The book includes an introduction to MATLAB, but the code used is not intended to exemplify sophisticated or robust pieces of software; it is purely illustrative of the method under discussion.

A First Course in Scientific Computing

Rubin Landau,Robyn Wangberg
A First Course in Scientific Computing Book PDF

Author : Rubin Landau,Robyn Wangberg
Publisher : Princeton University Press
Page : 507 pages
File Size : 53,5 Mb
Release : 2005-05
Category : Computers
ISBN : 9780691121833

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A First Course in Scientific Computing by Rubin Landau,Robyn Wangberg Pdf

Mathematica, Fortran90, Maple, and Java on the accompanying CD-ROM in an interactive workbook format.

Principles of Parallel Scientific Computing

Tobias Weinzierl
Principles of Parallel Scientific Computing Book PDF

Author : Tobias Weinzierl
Publisher : Springer Nature
Page : 302 pages
File Size : 53,8 Mb
Release : 2022-02-09
Category : Computers
ISBN : 9783030761943

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Principles of Parallel Scientific Computing by Tobias Weinzierl Pdf

New insight in many scientific and engineering fields is unthinkable without the use of numerical simulations running efficiently on modern computers. The faster we get new results, the bigger and accurate are the problems that we can solve. It is the combination of mathematical ideas plus efficient programming that drives the progress in many disciplines. Future champions in the area thus will have to be qualified in their application domain, they will need a profound understanding of some mathematical ideas, and they need the skills to deliver fast code. The present textbook targets students which have programming skills already and do not shy away from mathematics, though they might be educated in computer science or an application domain. It introduces the basic concepts and ideas behind applied mathematics and parallel programming that we need to write numerical simulations for today’s multicore workstations. Our intention is not to dive into one particular application domain or to introduce a new programming language – we lay the generic foundations for future courses and projects in the area. The text is written in an accessible style which is easy to digest for students without years and years of mathematics education. It values clarity and intuition over formalism, and uses a simple N-body simulation setup to illustrate basic ideas that are of relevance in various different subdomains of scientific computing. Its primary goal is to make theoretical and paradigmatic ideas accessible to undergraduate students and to bring the fascination of the field across.

Scientific Computing

Michael T. Heath
Scientific Computing Book PDF

Author : Michael T. Heath
Publisher : SIAM
Page : 567 pages
File Size : 52,5 Mb
Release : 2018-11-14
Category : Mathematics
ISBN : 9781611975581

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Scientific Computing by Michael T. Heath Pdf

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 Methods in Scientific Computing

Germund Dahlquist,Ake Bjorck
Numerical Methods in Scientific Computing Book PDF

Author : Germund Dahlquist,Ake Bjorck
Publisher : SIAM
Page : 742 pages
File Size : 53,6 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898717785

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Numerical Methods in Scientific Computing by Germund Dahlquist,Ake Bjorck Pdf

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.

Projects in Scientific Computation

Richard E. Crandall
Projects in Scientific Computation Book PDF

Author : Richard E. Crandall
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 45,9 Mb
Release : 2000-06-22
Category : Computers
ISBN : 0387950095

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Projects in Scientific Computation by Richard E. Crandall Pdf

This interdisciplinary book provides a compendium of projects, plus numerous example programs for readers to study and explore. Designed for advanced undergraduates or graduates of science, mathematics and engineering who will deal with scientific computation in their future studies and research, it also contains new and useful reference materials for researchers. The problem sets range from the tutorial to exploratory and, at times, to "the impossible". The projects were collected from research results and computational dilemmas during the authors tenure as Chief Scientist at NeXT Computer, and from his lectures at Reed College. The content assumes familiarity with such college topics as calculus, differential equations, and at least elementary programming. Each project focuses on computation, theory, graphics, or a combination of these, and is designed with an estimated level of difficulty. The support code for each takes the form of either C or Mathematica, and is included in the appendix and on the bundled diskette. The algorithms are clearly laid out within the projects, such that the book may be used with other symbolic numerical and algebraic manipulation products

Scientific Computing

Bertil Gustafsson
Scientific Computing Book PDF

Author : Bertil Gustafsson
Publisher : Springer
Page : 262 pages
File Size : 49,9 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9783319698472

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Scientific Computing by Bertil Gustafsson Pdf

This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the end of the Second World War scientific computing took a giant step forward with the advent of electronic computers, which greatly accelerated the development of numerical methods. As a result, scientific computing became established as a third scientific method in addition to the two traditional branches: theory and experimentation. The book traces numerical methods’ journey back to their origins and to the people who invented them, while also briefly examining the development of electronic computers over the years. Featuring 163 references and more than 100 figures, many of them portraits or photos of key historical figures, the book provides a unique historical perspective on the general field of scientific computing – making it a valuable resource for all students and professionals interested in the history of numerical analysis and computing, and for a broader readership alike.

Numerical Analysis

David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Numerical Analysis Book PDF

Author : David Kincaid,David Ronald Kincaid,Elliott Ward Cheney
Publisher : American Mathematical Soc.
Page : 810 pages
File Size : 51,7 Mb
Release : 2009
Category : Numerical analysis
ISBN : 9780821847886

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Numerical Analysis by David Kincaid,David Ronald Kincaid,Elliott Ward Cheney Pdf

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.

Mathematical Visualization

H.-C. Hege,K. Polthier
Mathematical Visualization Book PDF

Author : H.-C. Hege,K. Polthier
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 40,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662035672

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Mathematical Visualization by H.-C. Hege,K. Polthier Pdf

Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.

Current Trends in Scientific Computing

Zhangxin Chen,R. Glowinski,Kaitai Li,American Mathematical Society
Current Trends in Scientific Computing Book PDF

Author : Zhangxin Chen,R. Glowinski,Kaitai Li,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 372 pages
File Size : 51,6 Mb
Release : 2003
Category : Science
ISBN : 9780821832615

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Current Trends in Scientific Computing by Zhangxin Chen,R. Glowinski,Kaitai Li,American Mathematical Society Pdf

This volume contains 36 research papers written by prominent researchers. The papers are based on a large satellite conference on scientific computing held at the International Congress of Mathematicians (ICM) in Xi'an, China. Topics covered include a variety of subjects in modern scientific computing and its applications, such as numerical discretization methods, linear solvers, parallel computing, high performance computing, and applications to solid and fluid mechanics, energy, environment, and semiconductors. The book will serve as an excellent reference work for graduate students and researchers working with scientific computing for problems in science and engineering.