Numerical Techniques

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Numerical Techniques

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Author : J.S.Chitode
language : en
Publisher:
Release Date : 2008

Numerical Techniques written by J.S.Chitode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Errors in Numerical ComputationError types, Analysis and estimation. Error propagation.Roots of Equations (Including relevant engineering applications)Bracketing methods - The bisection method, The false position method, Open methods - The Newton-Raphson method, The Secant method.Systems of Linear Algebraic Equations (Including relevant engineering applications)Gauss - elimination method - Technique, Pitfalls, Improvement. Gauss - Jordan method. LU decomposition and matrix inversion. Gauss - Seidel method.Curve Fitting (Including relevant engineering applications)Interpolation - Newton's divided difference, Lagrange interpolating polynomials, Approximation - Least square approximation technique, Linear regression and polynomial regression.Numerical Differentiation (Including relevant engineering applications)Methods based on interpolation and finite differences.Numerical Integration (Including relevant engineering applications)The trapezoidal rule, Simpsons's 1/3 rule, Simpsons's 3/8 rule.Solution to Ordinary Differential Equations (Including relevant engineering applications)Taylor series method, Picard's method of successive approximation. Runge - Kutta methods - Euler's method, Euler's predicator - corrector method, Runga - kutta method of second and fourth order. Boundary - value problems, Eigen value problems (concepts only).Optimization (Including relevant engineering applications and transportation problems)One-dimensional unconstrained, Golden-section search, Quadratic interpolation, Newton's method. Multidimensional unconstrained - Direct method, Gradient method, Linear programming - Graphical solution and simplex method.

Numerical Methods In Economics

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Author : Kenneth L. Judd
language : en
Publisher: MIT Press
Release Date : 1998-09-28

Numerical Methods In Economics written by Kenneth L. Judd and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-28 with Business & Economics categories.

To harness the full power of computer technology, economists need to use a broad range of mathematical techniques. In this book, Kenneth Judd presents techniques from the numerical analysis and applied mathematics literatures and shows how to use them in economic analyses. The book is divided into five parts. Part I provides a general introduction. Part II presents basics from numerical analysis on R^n, including linear equations, iterative methods, optimization, nonlinear equations, approximation methods, numerical integration and differentiation, and Monte Carlo methods. Part III covers methods for dynamic problems, including finite difference methods, projection methods, and numerical dynamic programming. Part IV covers perturbation and asymptotic solution methods. Finally, Part V covers applications to dynamic equilibrium analysis, including solution methods for perfect foresight models and rational expectation models. A website contains supplementary material including programs and answers to exercises.

Numerical Methods

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Author : Rajesh Kumar Gupta
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Numerical Methods written by Rajesh Kumar Gupta and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.

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

Numerical Methods

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Author : Anne Greenbaum
language : en
Publisher: Princeton University Press
Release Date : 2012-04

Numerical Methods written by Anne Greenbaum and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04 with Computers categories.

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.

Numerical Methods That Work

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Author : Forman S. Acton
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-31

Numerical Methods That Work written by Forman S. Acton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Mathematics categories.

Numerical Techniques For Global Atmospheric Models

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Author : Peter H. Lauritzen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-29

Numerical Techniques For Global Atmospheric Models written by Peter H. Lauritzen 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 2011-03-29 with Mathematics categories.

This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.

Numerical Methods

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Author : Srimanta Pal
language : en
Publisher: Oxford Higher Education
Release Date : 2009

Numerical Methods written by Srimanta Pal and has been published by Oxford Higher Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Technology & Engineering categories.

With an objective to provide a firm understanding of the basic concepts of numerical methods, the book provides introductory chapters on number systems, binary arithmetic, and programming tools and techniques for different programming languages such as C, C++, BASIC and FORTRAN. Subsequently, the book offers an exhaustive coverage of topics such as numerical solutions of linear and non-linear equations, eigenvlues and eigenvectors, linear least squares problem with interpolation and extrapolation, numerical differentiation and integration, ordinary differential equations, partial differential equations, and parabolic and elliptic partial differential equations. Written in a lucid style, the book contains a large number of solved examples and numerous end-chapter exercises to make for a student-friendly book. The book will also be useful to postgraduate students as well as to practicing numerical analysts, statisticians, and engineers.

Numerical Methods For Engineers

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Author : Santosh K Gupta
language : en
Publisher: New Age International
Release Date : 1995

Numerical Methods For Engineers written by Santosh K Gupta and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Differential quations categories.

This Book Is Intended To Be A Text For Either A First Or A Second Course In Numerical Methods For Students In All Engineering Disciplines. Difficult Concepts, Which Usually Pose Problems To Students Are Explained In Detail And Illustrated With Solved Examples. Enough Elementary Material That Could Be Covered In The First-Level Course Is Included, For Example, Methods For Solving Linear And Nonlinear Algebraic Equations, Interpolation, Differentiation, Integration, And Simple Techniques For Integrating Odes And Pdes (Ordinary And Partial Differential Equations).Advanced Techniques And Concepts That Could Form Part Of A Second-Level Course Includegears Method For Solving Ode-Ivps (Initial Value Problems), Stiffness Of Ode- Ivps, Multiplicity Of Solutions, Convergence Characteristics, The Orthogonal Collocation Method For Solving Ode-Bvps (Boundary Value Problems) And Finite Element Techniques. An Extensive Set Of Graded Problems, Often With Hints, Has Been Included.Some Involve Simple Applications Of The Concepts And Can Be Solved Using A Calculator, While Several Are From Real-Life Situations And Require Writing Computer Programs Or Use Of Library Subroutines. Practice On These Is Expected To Build Up The Reader'S Confidence In Developing Large Computer Codes.

Numerical Algorithms

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Author : Justin Solomon
language : en
Publisher: CRC Press
Release Date : 2015-06-24

Numerical Algorithms written by Justin Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Computers categories.

Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Numerical Methods For Two Phase Incompressible Flows

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Author : Sven Gross
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-26

Numerical Methods For Two Phase Incompressible Flows written by Sven Gross 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 2011-04-26 with Mathematics categories.

This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.