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Author: Germund Dahlquist
Publisher: SIAM
ISBN: 0898716446
Category : Mathematics
Languages : en
Pages : 741
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Book Description
This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.
Author: Germund Dahlquist
Publisher: SIAM
ISBN: 0898716446
Category : Mathematics
Languages : en
Pages : 741
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Book Description
This work addresses the increasingly important role of numerical methods in science and engineering. It combines traditional and well-developed topics with other material such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions.
Author: J. H. Heinbockel
Publisher: Trafford on Demand Pub
ISBN: 9781412031530
Category : Mathematics
Languages : en
Pages : 501
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Book Description
Numerical Methods for Scientific Computing is an introducion to numerical methods and analysis techniques that can be used to solve a variety of complicated engineering and scientific problems. The material is suitable for upper level college undergraduates or beginning graduate students. There is more than enough material for a two semester course in numerical methods and analysis for mathematicians, engineers, physicists, chemistry and science majors. Chapter one reviews necessary background prerequisite material. The chapter two illustrates techniques for finding roots of equations. Chapter three studies solution methods applicable for handling linear and nonlinear systems of equations. Chapter four introduces interpolation and approximation techniques. The chapter five investigates curve fitting using least squares and linear reqression. The chapter six presents the topics of difference equations and Z-transforms. The chapter seven concentrates on numerical differentiation and integration methods. Chapter eight examines numerical solution techniques for solving ordinary differential equations and chapter nine considers numerical solution techniques for solving linear partial differential equations. The chapter ten develops Monte Carlo techniques for simulating and analyzing complex systems. The final chapter eleven presents parallel computing considerations together with selected miscellaneous topics.
Author: James P Howard, II
Publisher: CRC Press
ISBN: 1498723640
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.
Author: Peter Deuflhard
Publisher: Springer Science & Business Media
ISBN: 0387215840
Category : Mathematics
Languages : en
Pages : 350
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Book Description
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.
Author: Peter Linz
Publisher: Jones & Bartlett Learning
ISBN: 9780763714994
Category : Mathematics
Languages : en
Pages : 494
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Book Description
Advanced Mathematics
Author: Jeffery J. Leader
Publisher: Addison-Wesley
ISBN: 9780321223357
Category : Numerical analysis
Languages : en
Pages : 590
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Book Description
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.
Author: David Ronald Kincaid
Publisher: American Mathematical Soc.
ISBN: 0821847880
Category : Mathematics
Languages : en
Pages : 810
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Book Description
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: Michael T. Heath
Publisher: SIAM
ISBN: 1611975573
Category : Science
Languages : en
Pages : 567
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Book Description
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.
Author: Bertil Gustafsson
Publisher: Springer Science & Business Media
ISBN: 3642194958
Category : Mathematics
Languages : en
Pages : 317
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Book Description
The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.
Author: Kyle Novak
Publisher: Equal Share Press
ISBN:
Category : Mathematics
Languages : en
Pages : 710
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Book Description
A comprehensive guide to the theory, intuition, and application of numerical methods in linear algebra, analysis, and differential equations. With extensive commentary and code for three essential scientific computing languages: Julia, Python, and Matlab.
