Numerical Methods for Equations and its Applications

Numerical Methods for Equations and its Applications PDF Author: Ioannis K. Argyros
Publisher: CRC Press
ISBN: 1578087538
Category : Mathematics
Languages : en
Pages : 476

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Book Description
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 Methods for Equations and its Applications

Numerical Methods for Equations and its Applications PDF Author: Ioannis K. Argyros
Publisher: CRC Press
ISBN: 1578087538
Category : Mathematics
Languages : en
Pages : 476

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Book Description
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.

Advanced Numerical Methods for Differential Equations

Advanced Numerical Methods for Differential Equations PDF Author: Harendra Singh
Publisher: CRC Press
ISBN: 1000381080
Category : Technology & Engineering
Languages : en
Pages : 337

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Book Description
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.

Theory and Applications of Numerical Analysis

Theory and Applications of Numerical Analysis PDF Author: G. M. Phillips
Publisher: Elsevier
ISBN: 0080519121
Category : Mathematics
Languages : en
Pages : 461

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Book Description
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 Analysis of Ordinary Differential Equations and Its Applications

Numerical Analysis of Ordinary Differential Equations and Its Applications PDF Author: Taketomo Mitsui
Publisher: World Scientific
ISBN: 9789810222291
Category : Mathematics
Languages : en
Pages : 244

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Book Description
The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.

Numerical Methods for Energy Applications

Numerical Methods for Energy Applications PDF Author: Naser Mahdavi Tabatabaei
Publisher: Springer Nature
ISBN: 303062191X
Category : Technology & Engineering
Languages : en
Pages : 1033

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Book Description
This book provides a thorough guide to the use of numerical methods in energy systems and applications. It presents methods for analysing engineering applications for energy systems, discussing finite difference, finite element, and other advanced numerical methods. Solutions to technical problems relating the application of these methods to energy systems are also thoroughly explored. Readers will discover diverse perspectives of the contributing authors and extensive discussions of issues including: • a wide variety of numerical methods concepts and related energy systems applications;• systems equations and optimization, partial differential equations, and finite difference method;• methods for solving nonlinear equations, special methods, and their mathematical implementation in multi-energy sources;• numerical investigations of electrochemical fields and devices; and• issues related to numerical approaches and optimal integration of energy consumption. This is a highly informative and carefully presented book, providing scientific and academic insight for readers with an interest in numerical methods and energy systems.

Wavelet Numerical Method and Its Applications in Nonlinear Problems

Wavelet Numerical Method and Its Applications in Nonlinear Problems PDF Author: You-He Zhou
Publisher: Springer Nature
ISBN: 9813366435
Category : Technology & Engineering
Languages : en
Pages : 478

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Book Description
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.

Numerical Methods

Numerical Methods PDF Author: Rajesh Kumar Gupta
Publisher: Cambridge University Press
ISBN: 1108716008
Category : Mathematics
Languages : en
Pages : 829

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Book Description
Offers a comprehensive textbook for a course in numerical methods, numerical analysis and numerical techniques for undergraduate engineering students.

Numerical Analysis Of Ordinary Differential Equations And Its Applications

Numerical Analysis Of Ordinary Differential Equations And Its Applications PDF Author: Taketomo Mitsui
Publisher: World Scientific
ISBN: 9814500569
Category : Mathematics
Languages : en
Pages : 240

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Book Description
The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.

Numerical Methods for Differential Equations and Applications

Numerical Methods for Differential Equations and Applications PDF Author: Liviu Gr. Ixaru
Publisher: Springer
ISBN: 9789027715975
Category : Mathematics
Languages : en
Pages : 364

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Book Description


Numerical Analysis and Its Applications

Numerical Analysis and Its Applications PDF Author: Zhilin Li
Publisher: Springer
ISBN: 3540318526
Category : Computers
Languages : en
Pages : 642

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Book Description
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.