Theory and Applications of Numerical Analysis
Title | Theory and Applications of Numerical Analysis PDF eBook |
Author | G. M. Phillips |
Publisher | Elsevier |
Total Pages | 461 |
Release | 1996-07-05 |
Genre | Mathematics |
ISBN | 0080519121 |
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
Numerical Methods for Equations and its Applications
Title | Numerical Methods for Equations and its Applications PDF eBook |
Author | Ioannis K. Argyros |
Publisher | CRC Press |
Total Pages | 476 |
Release | 2012-06-05 |
Genre | Mathematics |
ISBN | 1578087538 |
This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.
Numerical Analysis and Its Applications
Title | Numerical Analysis and Its Applications PDF eBook |
Author | Zhilin Li |
Publisher | Springer |
Total Pages | 642 |
Release | 2005-02-07 |
Genre | Computers |
ISBN | 3540318526 |
This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Numerical Analysis and Its Applications, NAA 2004, held in Rousse, Bulgaria in June/July 2004. The 68 revised full papers presented together with 8 invited papers were carefully selected during two rounds of reviewing and improvement. All current aspects of numerical analysis are addressed. Among the application fields covered are computational sciences and engineering, chemistry, physics, economics, simulation, fluid dynamics, visualization, etc.
Applications of Number Theory to Numerical Analysis
Title | Applications of Number Theory to Numerical Analysis PDF eBook |
Author | L.-K. Hua |
Publisher | Springer Science & Business Media |
Total Pages | 252 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642678297 |
Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num ber theory to construct a sequence of uniformly distributed sets in the s dimensional unit cube G , where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis fies certain conditions.
Numerical Methods and Applications
Title | Numerical Methods and Applications PDF eBook |
Author | Ivan Georgiev |
Publisher | Springer Nature |
Total Pages | 365 |
Release | 2023-05-15 |
Genre | Mathematics |
ISBN | 3031324129 |
This book constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Numerical Methods and Applications, NMA 2022, held in Borovets, Bulgaria, in August 2022.The 30 revised regular papers presented were carefully reviewed and selected from 38 submissions for inclusion in this book. The papers are organized in the following topical sections: numerical search and optimization; problem-driven numerical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods.
Biorthogonality and its Applications to Numerical Analysis
Title | Biorthogonality and its Applications to Numerical Analysis PDF eBook |
Author | Claude Brezinski |
Publisher | CRC Press |
Total Pages | 194 |
Release | 1991-11-27 |
Genre | Mathematics |
ISBN | 9780824786168 |
This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.
Advanced Numerical Methods for Differential Equations
Title | Advanced Numerical Methods for Differential Equations PDF eBook |
Author | Harendra Singh |
Publisher | CRC Press |
Total Pages | 336 |
Release | 2021-07-29 |
Genre | Mathematics |
ISBN | 1000381080 |
Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.