Numerical Computation 1
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Numerical Computation 1
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Author : Christoph W. Ueberhuber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Numerical Computation 1 written by Christoph W. Ueberhuber and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book deals with various aspects of scientific numerical computing. No at tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer algebra- is thus based on applied mathematics, numerical analysis and numerical computation as well as on certain areas of computer science such as computer architecture and operating systems. Applied Mathemalies I I I Numerical Analysis Analysis, Algebra I I Numerical Computation Symbolic Computation I Operating Systems Computer Hardware Each chapter begins with sample situations taken from specific fields of appli cation. Abstract and general formulations of mathematical problems are then presented. Following this abstract level, a general discussion about principles and methods for the numerical solution of mathematical problems is presented. Relevant algorithms are developed and their efficiency and the accuracy of their results is assessed. It is then explained as to how they can be obtained in the form of numerical software. The reader is presented with various ways of applying the general methods and principles to particular classes of problems and approaches to extracting practically useful solutions with appropriately chosen numerical software are developed. Potential difficulties and obstacles are examined, and ways of avoiding them are discussed. The volume and diversity of all the available numerical software is tremendous.
Numerical Methods In Scientific Computing
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Author : Germund Dahlquist
language : en
Publisher: SIAM
Release Date : 2008-09-04
Numerical Methods In Scientific Computing written by Germund Dahlquist and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Mathematics categories.
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.
Introduction To Numerical Computation
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Author : J. Thomas King
language : en
Publisher: McGraw-Hill Companies
Release Date : 1984
Introduction To Numerical Computation written by J. Thomas King and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
A Simple Introduction To Numerical Analysis
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Author : R.D Harding
language : en
Publisher: CRC Press
Release Date : 1989-01-01
A Simple Introduction To Numerical Analysis written by R.D Harding and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
An integrated textbook and interactive software package aimed at teaching the basics of numerical analysis in a practical way. It covers all the standard topics for a first course. The software provides graphical illustrations of methods. It also requires an interaction with the user who becomes more involved in the learning process. Many examples and exercises are included. Students of mathematics, the physical sciences, and those who use numerical methods, will find this a stimulating text. It is intended primarily for first-year university and advanced secondary school students. Software: 3.5" disk for IBM-compatible machines.
Fundamentals Of Numerical Computation
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Author : Tobin A Driscoll
language : en
Publisher: SIAM
Release Date : 2022-08-24
Fundamentals Of Numerical Computation written by Tobin A Driscoll and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-24 with Mathematics categories.
Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Computation: Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces the mathematics and use of algorithms for the fundamental problems of numerical computation: linear algebra, finding roots, approximating data and functions, and solving differential equations. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. The book includes more than 40 functions and 160 examples fully coded in Julia and available for download, online supplemental content including tested source materials for student projects and in-class labs related to every chapter, and over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises for instructors.
Numerical Computing With Simulink Volume 1
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Author : Richard J. Gran
language : en
Publisher: SIAM
Release Date : 2007-01-01
Numerical Computing With Simulink Volume 1 written by Richard J. Gran and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
An introduction to computer-aided system design with Simulink: a robust, accurate, and easily used simulation tool. The author takes readers on a tour of the Simulink environment that shows how to develop a system model and execute the design steps needed to make the model into a functioning design laboratory. Included along the way are the mathematics of systems: difference equations and z transforms, ordinary differential equations (both linear and nonlinear) and Laplace transforms, and numerical methods for solving differential equations. Because specific applications require specific tools, this book introduces additional software packages that work within the Simulink environment. The author covers over 70 applications taken from several disciplines, and describes numerous tested, annotated, and reusable models and blocks to help readers apply the book's material to their own applications. Ideal for practising engineers, and students in model-based design and numerical methods. Additional material is also available online.
Basic Numerical Mathematics
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Author : J. Todd
language : en
Publisher: Birkhäuser
Release Date : 2013-03-13
Basic Numerical Mathematics written by J. Todd and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Science categories.
There is no doubt nowadays that numerical mathematics is an essential component of any educational program. It is probably more efficient to present such material after a strong grasp of (at least) linear algebra and calculus has already been attained -but at this stage those not specializing in numerical mathematics are often interested in getting more deeply into their chosen field than in developing skills for later use. An alternative approach is to incorporate the numerical aspects of linear algebra and calculus as these subjects are being developed. Long experience has persuaded us that a third attack on this problem is the best and this is developed in the present two volumes, which are, however, easily adaptable to other circumstances. The approach we prefer is to treat the numerical aspects separately, but after some theoretical background. This is often desirable because of the shortage of persons qualified to present the combined approach and also because the numerical approach provides an often welcome change which, however, in addition, can lead to better appreciation of the fundamental concepts. For instance, in a 6-quarter course in Calculus and Linear Algebra, the material in Volume 1 can be handled in the third quarter and that in Volume 2 in the fifth or sixth quarter.
Numerical Analysis 1 E
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Author : Siva Ramakrishna Das
language : en
Publisher: Pearson Education India
Release Date :
Numerical Analysis 1 E written by Siva Ramakrishna Das and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A text book designed exclusively for undergraduate students, Numerical Analysis presents the theoretical and numerical derivations amply supported by rich pedagogy for practice. With exhaustive theory to reinforce practical computations, the book delves into the concepts of errors in numerical computation, algebraic and transcendental equations, solution of linear system of equation, curve fitting, initial-value problem for ordinary differential equations, boundary-value problems of second order partial differential equations and solution of difference equations with constant coefficient.
Introduction To Numerical Computations
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Author : James S. Vandergraft
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Introduction To Numerical Computations written by James S. Vandergraft and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Computer Science and Applied Mathematics: Introduction to Numerical Computations, Second Edition introduces numerical algorithms as they are used in practice. This edition covers the usual topics contained in introductory numerical analysis textbooks that include all of the well-known and most frequently used algorithms for interpolation and approximation, numerical differentiation and integration, solution of linear systems and nonlinear equations, and solving ordinary differential equations. A complete discussion of computer arithmetic, problems that arise in the computer evaluation of functions, and cubic spline interpolation are also provided. This text likewise discusses the Newton formulas for interpolation and adaptive methods for integration. The level of this book is suitable for advanced undergraduate students and readers with elementary mathematical background.
Numerical Integration Of Space Fractional Partial Differential Equations
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Author : Younes Salehi
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Numerical Integration Of Space Fractional Partial Differential Equations written by Younes Salehi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. Therefore, two fractional PDEs can be considered, (1) fractional in time (TFPDEs), and (2) fractional in space (SFPDEs). The two volumes are directed to the development and use of SFPDEs, with the discussion divided as: Vol 1: Introduction to Algorithms and Computer Coding in R Vol 2: Applications from Classical Integer PDEs. Various definitions of space fractional derivatives have been proposed. We focus on the Caputo derivative, with occasional reference to the Riemann-Liouville derivative. The Caputo derivative is defined as a convolution integral. Thus, rather than being local (with a value at a particular point in space), the Caputo derivative is non-local (it is based on an integration in space), which is one of the reasons that it has properties not shared by integer derivatives. A principal objective of the two volumes is to provide the reader with a set of documented R routines that are discussed in detail, and can be downloaded and executed without having to first study the details of the relevant numerical analysis and then code a set of routines. In the first volume, the emphasis is on basic concepts of SFPDEs and the associated numerical algorithms. The presentation is not as formal mathematics, e.g., theorems and proofs. Rather, the presentation is by examples of SFPDEs, including a detailed discussion of the algorithms for computing numerical solutions to SFPDEs and a detailed explanation of the associated source code.