[PDF] Computer Oriented Numerical Methods eBook

Author : RAJARAMAN, V.
Publisher : PHI Learning Pvt. Ltd.
Page : 222 pages
File Size : 30,23 MB
Release : 2018-11-01
Category : Computers
ISBN : 9388028325

GET BOOK

This book is a concise and lucid introduction to computer oriented numerical methods with well-chosen graphical illustrations that give an insight into the mechanism of various methods. The book develops computational algorithms for solving non-linear algebraic equation, sets of linear equations, curve-fitting, integration, differentiation, and solving ordinary differential equations. OUTSTANDING FEATURES • Elementary presentation of numerical methods using computers for solving a variety of problems for students who have only basic level knowledge of mathematics. • Geometrical illustrations used to explain how numerical algorithms are evolved. • Emphasis on implementation of numerical algorithm on computers. • Detailed discussion of IEEE standard for representing floating point numbers. • Algorithms derived and presented using a simple English based structured language. • Truncation and rounding errors in numerical calculations explained. • Each chapter starts with learning goals and all methods illustrated with numerical examples. • Appendix gives pointers to open source libraries for numerical computation.

Author : N Datta
Publisher : Vikas Publishing House
Page : 224 pages
File Size : 13,58 MB
Release : 2004
Category : Computers
ISBN : 8125914242

GET BOOK

This book clearly presents the algorithms required for easy implementation of numerical methods in computer programming. The book deals with the important topics of numerical methods, including errors in numerical computation, in a lucid style. Chapter-end short questions with answers and appendices with theory questions and ‘C’ programs are student-friendly feature of the book.

Author : P. THANGARAJ
Publisher : PHI Learning Pvt. Ltd.
Page : 606 pages
File Size : 28,78 MB
Release : 2008-07-22
Category : Technology & Engineering
ISBN : 8120335392

GET BOOK

Numerical methods are powerful problem-solving tools. Techniques of these methods are capable of handling large systems of equations, nonlinearities and complicated geometries in engineering practice which are impossible to be solved analytically. Numerical methods can solve the real world problem using the C program given in this book. This well-written text explores the basic concepts of numerical methods and gives computational algorithms, flow charts and programs for solving nonlinear algebraic equations, linear equations, curve fitting, integration, differentiation and differential equations. The book is intended for students of B.E. and B.Tech as well as for students of B.Sc. (Mathematics and Physics). KEY FEATURES  Gives clear and precise exposition of modern numerical methods.  Provides mathematical derivation for each method to build the student’s understanding of numerical analysis.  Presents C programs for each method to help students to implement the method in a programming language.  Includes several solved examples to illustrate the concepts.  Contains exercises with answers for practice.

Author : Anthony Ralston
Publisher : Courier Corporation
Page : 644 pages
File Size : 16,37 MB
Release : 2001-01-01
Category : Mathematics
ISBN : 9780486414546

GET BOOK

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 : Peter Eris Kloeden
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 29,67 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642579132

GET BOOK

This book provides an easily accessible, computationally-oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.

Author : J. Stoer
Publisher : Springer Science & Business Media
Page : 674 pages
File Size : 36,3 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 1475722729

GET BOOK

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.