Numerical Methods I Basis And Fundamentals

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Numerical Methods I Basis And Fundamentals

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Author : Boris Obsieger
language : en
Publisher: university-books.eu
Release Date : 2013-10-25

Numerical Methods I Basis And Fundamentals written by Boris Obsieger and has been published by university-books.eu this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-25 with Mathematics categories.

Numerički postupci II: Korjeni i sustavi jednadžbi Numerische Methoden II: Wurzeln und sistems gleichungs Métodos Numéricos II: Raíces y sistems de ecuaciones Численные методы II: Корни и системс уравнений

Numerical Methods I

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Author : Boris Obsieger
language : en
Publisher: CreateSpace
Release Date : 2013-10-25

Numerical Methods I written by Boris Obsieger and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-25 with Mathematics categories.

Format: Black and White on White Paper, 7"x10" (256x178 mm), Paperback, 260 pages. Several other Colour and Black & White options are also avaliable. About the book: An excellent textbook established at several universities. Primarily written for students at technical universities, it is also a very useful handbook for engineers, PhD students and scientists. Now available in several forms at all continents. This textbook introduces the reader into numeral systems, numbers in computers, types of variables, types of errors and methods for finding roots of polynomials. Error analyses and error estimation are supplemented by various types of regression analyses that are usually used in an experimental work by engineers and scientists. Why are the presented topics so important? Simply, they are common to all numerical methods. Possibly, the most important parts are the descriptions of differences between constant (non-random) and random variables, related types of errors and error propagations. Engineers and scientists sometimes ignore the difference between variables of different types, roughly interpreting all variables in their computations as the constant variables. The consequence of such an approach is a wrong interpretation and estimation of the computation error. By understanding the sources and types of errors, they can be controlled and possibly reduced. That is of crucial importance in almost all applications. The book is divided into seven chapters. In the first chapter, the historical background and basic properties of various numeral systems, as well as conversion of numbers from one system to another are briefly explained. In the second chapter, numbers in digital computers, namely integers and floating point numbers are described. This helps the reader to choose precision and range limits of stored numbers. The third chapter explains constant variables and related numerical errors, including error propagation and algorithm instability. The forth and fifth chapters explain random variables and related random errors, uncertainty, confidence level, as well as propagation of random errors. Various types of regression analyses of experimental data are described in the sixth chapter. Direct methods for finding roots of third and forth degree polynomials are described in the seventh chapter, followed by general iterative methods for polynomials of any degree. Practical application of the adopted knowledge is supported by 76 examples and 13 algorithms. In addition, the given text with 75 figures and 40 tables represents a valuable background for understanding, applying and developing various numerical analyses. Reviewed by: Prof. Maja Fosner, D.Sc., University of Maribor, Slovenia Prof. Damir Jelaska, D.Sc., University of Split, Croatia Prof. Valery Lysenko, D.Sc., Academic of the Russian Metrological Academy, Russian Research Institute for Metrological Service, Russia Prof. Iztok Potrc, D.Sc., University of Maribor. Slovenia Prof. Evgeny Pushkar, D.Sc., Member correspondent of the Russian Academy of Natural Sciences, Moscow State Industrial University, Russia Proof reading by: Senior Lecturer, Ksenija Mance, prof., University of Rijeka, Croatia

Handbook Of Numerical Methods For Hyperbolic Problems

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Author : Remi Abgrall
language : en
Publisher: Elsevier
Release Date : 2016-11-17

Handbook Of Numerical Methods For Hyperbolic Problems written by Remi Abgrall and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Mathematics categories.

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications - Written by leading subject experts in each field who provide breadth and depth of content coverage

Fundamental Numerical Methods For Electrical Engineering

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Author : Stanislaw Rosloniec
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-17

Fundamental Numerical Methods For Electrical Engineering written by Stanislaw Rosloniec 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 2008-07-17 with Technology & Engineering categories.

Stormy development of electronic computation techniques (computer systems and software), observed during the last decades, has made possible automation of data processing in many important human activity areas, such as science, technology, economics and labor organization. In a broadly understood technology area, this developmentledtoseparationofspecializedformsofusingcomputersforthedesign and manufacturing processes, that is: – computer-aided design (CAD) – computer-aided manufacture (CAM) In order to show the role of computer in the rst of the two applications m- tioned above, let us consider basic stages of the design process for a standard piece of electronic system, or equipment: – formulation of requirements concerning user properties (characteristics, para- ters) of the designed equipment, – elaboration of the initial, possibly general electric structure, – determination of mathematical model of the system on the basis of the adopted electric structure, – determination of basic responses (frequency- or time-domain) of the system, on the base of previously established mathematical model, – repeated modi cation of the adopted diagram (changing its structure or element values) in case, when it does not satisfy the adopted requirements, – preparation of design and technological documentation, – manufacturing of model (prototype) series, according to the prepared docum- tation, – testing the prototype under the aspect of its electric properties, mechanical du- bility and sensitivity to environment conditions, – modi cation of prototype documentation, if necessary, and handing over the documentation to series production. The most important stages of the process under discussion are illustrated in Fig. I. 1. xi xii Introduction Fig. I.

Fundamentals Of Computational Geoscience

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Author : Chongbin Zhao
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-07

Fundamentals Of Computational Geoscience written by Chongbin Zhao 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 2009-04-07 with Science categories.

This monograph aims to provide state-of-the-art numerical methods, procedures and algorithms in the field of computational geoscience, based on the authors’ own work during the last decade. Although some theoretical results are provided to verify numerical ones, the main focus of this monograph is on computational simulation aspects of the newly-developed computational geoscience discipline. The advanced numerical methods, procedures and algorithms presented are also applicable to a wide range of problems in both geological length-scales and engineering length-scales. In order to broaden the readership, common mathematical notations are used to describe the theoretical aspects of geoscience problems, making it either an invaluable textbook for postgraduate students or an indispensable reference book for computational geoscientists, mathematicians, engineers and geoscientists.

An Introduction To The Method Of Fundamental Solutions

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Author : Alexander H-d Cheng
language : en
Publisher: World Scientific
Release Date : 2025-03-11

An Introduction To The Method Of Fundamental Solutions written by Alexander H-d Cheng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-11 with Mathematics categories.

Over the past two decades, the method of fundamental solutions (MFS) has attracted great attention and has been used extensively for the solution of scientific and engineering problems. The MFS is a boundary meshless collocation method which has evolved from the boundary element method. In it, the approximate solution is expressed as a linear combination of fundamental solutions of the operator in the governing partial differential equation.One of the main attractions of the MFS is the simplicity with which it can be applied to the solution of boundary value problems in complex geometries in two and three dimensions. The method is also known by many different names in the literature such as the charge simulation method, the de-singularization method, the virtual boundary element method, etc.Despite its effectiveness, the original version of the MFS is confined to solving boundary value problems governed by homogeneous partial differential equations. To address this limitation, we introduce various types of particular solutions to extend the method to solving general inhomogeneous boundary value problems employing the method of particular solutions.This book consists of two parts. Part I aims to provide theoretical support for beginners. In the spirit of reproducible research and to facilitate the understanding of the method and its implementation, several MATLAB codes have been included in Part II.This book is highly recommended for use by post-graduate researchers and graduate students in scientific computing and engineering.

Scientific Computation With Matlab Numerical Methods And Basic Statistical Analysis

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Author : Dr. Anup Kumar Thander
language : en
Publisher: Chyren Publication
Release Date : 2025-06-03

Scientific Computation With Matlab Numerical Methods And Basic Statistical Analysis written by Dr. Anup Kumar Thander and has been published by Chyren Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Antiques & Collectibles categories.

Fundamentals Of Numerical Analysis

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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-07-22

Fundamentals Of Numerical Analysis written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with Mathematics categories.

EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.

Methods Of Fundamental Solutions In Solid Mechanics

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Author : Hui Wang
language : en
Publisher: Elsevier
Release Date : 2019-06-06

Methods Of Fundamental Solutions In Solid Mechanics written by Hui Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-06 with Technology & Engineering categories.

Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. - Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer - Extends the application of the MFS for use with complex problems - Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer - Gives detailed solution procedures for engineering problems - Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges

Fundamentals Of Computational Methods For Engineers

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Author : Md. Masud Rana
language : en
Publisher: Bentham Science Publishers
Release Date : 2022-06-01

Fundamentals Of Computational Methods For Engineers written by Md. Masud Rana and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.

This textbook bridges the gap between introductory and advanced numerical methods for engineering students. The book initially introduces readers to numerical methods before progressing to linear and nonlinear equations. Next, the book covers the topics of interpolation, curve fitting and approximation, integration, differentiation and differential equations. The book concludes with a chapter on advanced mathematical analysis which explains methods for finite difference, method of moments and finite elements. The book introduces readers to key concepts in engineering such as error analysis, algorithms, applied mathematics with the goal of giving an understanding of how to solve engineering problems using computational methods. Each of the featured topics is explained with sufficient detail while retaining the usual introductory nuance. This blend of beginner-friendly and applied information, along with reference listings makes the textbook useful to students of undergraduate and introductory graduate courses in mathematics and engineering.