Explorations In Numerical Analysis

Author : James V Lambers,Amber C Sumner Mooney,Vivian Ashley Montiforte
Publisher : World Scientific
Page : 691 pages
File Size : 53,8 Mb
Release : 2021-01-14
Category : Mathematics
ISBN : 9789811227950

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Explorations In Numerical Analysis: Python Edition by James V Lambers,Amber C Sumner Mooney,Vivian Ashley Montiforte Pdf

This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations.Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language.This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

Author : JAMES V. SUMNER LAMBERS (AMBER C. MONTIFORTE, VIVIAN A.),Amber C Sumner Mooney,Vivian Ashley Montiforte
Publisher : World Scientific Publishing Company
Page : 680 pages
File Size : 52,5 Mb
Release : 2021-03
Category : Electronic
ISBN : 9811229341

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Explorations In Numerical Analysis: Python Edition by JAMES V. SUMNER LAMBERS (AMBER C. MONTIFORTE, VIVIAN A.),Amber C Sumner Mooney,Vivian Ashley Montiforte Pdf

This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include computer arithmetic, error analysis, solution of systems of linear equations, least squares problems, eigenvalue problems, nonlinear equations, optimization, polynomial interpolation and approximation, numerical differentiation and integration, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the Python programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

Author : Anne Greenbaum,Tim P. Chartier
Publisher : Princeton University Press
Page : 471 pages
File Size : 50,6 Mb
Release : 2012-04-01
Category : Mathematics
ISBN : 9781400842674

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Numerical Methods by Anne Greenbaum,Tim P. Chartier Pdf

A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online

Author : Helena E. Nusse,James A. Yorke
Publisher : Springer
Page : 485 pages
File Size : 41,5 Mb
Release : 2014-03-03
Category : Mathematics
ISBN : 1468402323

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Dynamics: Numerical Explorations by Helena E. Nusse,James A. Yorke Pdf

Co-author J.A. Yorke developed an array of tools to help visualize the properties of dynamical systems, while Yorke found it useful to combine these various basic tools into one single package: Dynamics. The program together with this manual provides an introduction to and an overview of fundamental, sophisticated tools and numerical methods together with many simple examples. All numerical methods described in this handbook are implemented in the program, which is capable of, among others: iterating maps and solving differential equations; plotting trajectories; featuring an array of simple commands; printing a created picture in resolution higher than that of the screen. Requires a UNIX workstation running X11 graphics or a PC.

Author : Timo Heister,Leo G. Rebholz,Fei Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 193 pages
File Size : 55,8 Mb
Release : 2019-03-18
Category : Mathematics
ISBN : 9783110573329

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Numerical Analysis by Timo Heister,Leo G. Rebholz,Fei Xue Pdf

Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.

Author : BURTON WENDROFF
Publisher : Unknown
Page : 142 pages
File Size : 54,6 Mb
Release : 1969
Category : Electronic
ISBN : 8210379456XXX

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FIRST PRINCIPLES OF NUMERICAL ANALYSIS: AN UNDERGRADUATE TEXT. by BURTON WENDROFF Pdf

Author : D. Trigiante
Publisher : Nova Publishers
Page : 364 pages
File Size : 44,8 Mb
Release : 2000
Category : Mathematics
ISBN : 156072885X

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Recent Trends in Numerical Analysis by D. Trigiante Pdf

The contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.

Author : Lars Eldén,Linde Wittmeyer-Koch
Publisher : Unknown
Page : 368 pages
File Size : 53,8 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015017915177

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Numerical Analysis by Lars Eldén,Linde Wittmeyer-Koch Pdf

Author : Anthony Ralston,Philip Rabinowitz
Publisher : Courier Corporation
Page : 644 pages
File Size : 48,5 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 048641454X

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A First Course in Numerical Analysis by Anthony Ralston,Philip Rabinowitz Pdf

Outstanding text, oriented toward computer solutions, stresses errors in methods and computational efficiency. Problems — some strictly mathematical, others requiring a computer — appear at the end of each chapter.

Author : G. M. Phillips,Peter J. Taylor
Publisher : Elsevier
Page : 447 pages
File Size : 48,6 Mb
Release : 1996-07-05
Category : Mathematics
ISBN : 9780080519128

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Theory and Applications of Numerical Analysis by G. M. Phillips,Peter J. Taylor Pdf

Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. a unique blend of theory and applications two brand new chapters on eigenvalues and splines inclusion of formal algorithms numerous fully worked examples a large number of problems, many with solutions

Author : Andreas Hohmann,Peter Deuflhard
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 49,5 Mb
Release : 2003-01-14
Category : Mathematics
ISBN : 0387954104

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Numerical Analysis in Modern Scientific Computing by Andreas Hohmann,Peter Deuflhard Pdf

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 : John Loustau
Publisher : World Scientific Publishing Company
Page : 164 pages
File Size : 53,6 Mb
Release : 2017-08-23
Category : Mathematics
ISBN : 9789813222731

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Elements of Numerical Analysis with Mathematica® by John Loustau Pdf

Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology. Contents: BeginningsLinear Systems and OptimizationInterpolating and FittingNumerical DifferentiationNumerical IntegrationNumerical Ordinary Differential EquationsMonte Carlo Method Readership: Undergraduate and master students.

Author : John W. Bull
Publisher : CRC Press
Page : 465 pages
File Size : 55,5 Mb
Release : 2009-02-02
Category : Architecture
ISBN : 9780203887776

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Linear and Non-linear Numerical Analysis of Foundations by John W. Bull Pdf

Correctly understanding, designing and analyzing the foundations that support structures is fundamental to their safety. This book by a range of academic, design and contracting world experts provides a review of the state-of-the-art techniques for modelling foundations using both linear and non linear numerical analysis. It applies to a range of infrastructure, civil engineering and structural engineering projects and allows designers, engineers, architects, researchers and clients to understand some of the advanced numerical techniques used in the analysis and design of foundations. Topics include: Ground vibrations caused by trains Pile-group effects Bearing capacity of shallow foundations under static and seismic conditions Bucket foundation technology for offshore oilfields Seismically induced liquefaction in earth embankment foundations and in pile foundations Free vibrations of industrial chimneys and TV towers with flexibility of the soil Settlements of high rise structures Seepage, stress fields and dynamic responses in dams Site investigation

Author : Carl Erik Fröberg
Publisher : Addison Wesley Publishing Company
Page : 460 pages
File Size : 54,5 Mb
Release : 1969
Category : Mathematics
ISBN : UOM:39015000499486

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Introduction to Numerical Analysis by Carl Erik Fröberg Pdf

Author : Helena E. Nusse,James A. Yorke
Publisher : Springer
Page : 502 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468402315

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Dynamics: Numerical Explorations by Helena E. Nusse,James A. Yorke Pdf

Co-author J.A. Yorke developed an array of tools to help visualize the properties of dynamical systems, while Yorke found it useful to combine these various basic tools into one single package: Dynamics. The program together with this manual provides an introduction to and an overview of fundamental, sophisticated tools and numerical methods together with many simple examples. All numerical methods described in this handbook are implemented in the program, which is capable of, among others: iterating maps and solving differential equations; plotting trajectories; featuring an array of simple commands; printing a created picture in resolution higher than that of the screen. Requires a UNIX workstation running X11 graphics or a PC.