Mathematical And Numerical Modelling In Electrical Engineering Theory And Applications

Mathematical And Numerical Modelling In Electrical Engineering Theory And Applications Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematical And Numerical Modelling In Electrical Engineering Theory And Applications book. This book definitely worth reading, it is an incredibly well-written.

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

Michal Krízek,Pekka Neittaanmäki
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications Book PDF

Author : Michal Krízek,Pekka Neittaanmäki
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401586726

Get Book

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications by Michal Krízek,Pekka Neittaanmäki Pdf

Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Mathematical Models and Numerical Simulation in Electromagnetism

Alfredo Bermúdez de Castro,Dolores Gómez,Pilar Salgado
Mathematical Models and Numerical Simulation in Electromagnetism Book PDF

Author : Alfredo Bermúdez de Castro,Dolores Gómez,Pilar Salgado
Publisher : Springer
Page : 432 pages
File Size : 46,7 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 3319029487

Get Book

Mathematical Models and Numerical Simulation in Electromagnetism by Alfredo Bermúdez de Castro,Dolores Gómez,Pilar Salgado Pdf

The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.

Mathematical Models of Electrical Network Systems

Andrzej Kłos
Mathematical Models of Electrical Network Systems Book PDF

Author : Andrzej Kłos
Publisher : Springer
Page : 105 pages
File Size : 41,6 Mb
Release : 2017-06-28
Category : Technology & Engineering
ISBN : 9783319521787

Get Book

Mathematical Models of Electrical Network Systems by Andrzej Kłos Pdf

This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unknown quantities and interrelations of network analysis. It also explores some applications of algebraic network model of and solves some examples of previously unsolved network problems in planning and operation of network systems. Complex mathematical aspects are illustrated and described in a way that is understandable for non-mathematicians. Discussing interesting concepts and practically useful methods of network analysis, it is a valuable resource for lecturers, students, engineers

Model Order Reduction Techniques with Applications in Electrical Engineering

L. Fortuna,G. Nunnari,A. Gallo
Model Order Reduction Techniques with Applications in Electrical Engineering Book PDF

Author : L. Fortuna,G. Nunnari,A. Gallo
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447131984

Get Book

Model Order Reduction Techniques with Applications in Electrical Engineering by L. Fortuna,G. Nunnari,A. Gallo Pdf

Model Order Reduction Techniqes focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processes, numerical computing experience, software developments and knowledge of system theory. Several model reduction algorithms are then discussed. The aim of this work is to give the reader an overview of reduced-order model design and an operative guide. Particular attention is given to providing basic concepts for building expert systems for model reducution.

Mathematical Modelling

J. Caldwell,Y.M. Ram
Mathematical Modelling Book PDF

Author : J. Caldwell,Y.M. Ram
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 52,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401722018

Get Book

Mathematical Modelling by J. Caldwell,Y.M. Ram Pdf

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering. There has been a constant movement in the emphasis from developing proficiency in purely mathematical techniques to an approach which caters for industrial and scientific applications in emerging new technologies. In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. This text, which serves as a general introduction to the area of mathematical modelling, is aimed at advanced undergraduate students in mathematics or closely related disciplines, e.g., students who have some prerequisite knowledge such as one-variable calculus, linear algebra and ordinary differential equations. Some prior knowledge of computer programming would be useful but is not considered essential. The text also contains some more challenging material which could prove attractive to graduate students in engineering or science who are involved in mathematical modelling. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science. An important aspect of the text is the use made of scientific computer software packages such as MAPLE for symbolic algebraic manipulations and MA TLAB for numerical simulation.

Numerical Analysis with Applications in Mechanics and Engineering

Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Numerical Analysis with Applications in Mechanics and Engineering Book PDF

Author : Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea
Publisher : John Wiley & Sons
Page : 458 pages
File Size : 45,6 Mb
Release : 2013-05-07
Category : Computers
ISBN : 9781118614624

Get Book

Numerical Analysis with Applications in Mechanics and Engineering by Petre Teodorescu,Nicolae-Doru Stanescu,Nicolae Pandrea Pdf

A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.

Recent Developments on Structural Equation Models

Kees van Montfort,Johan Oud,Albert Satorra
Recent Developments on Structural Equation Models Book PDF

Author : Kees van Montfort,Johan Oud,Albert Satorra
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 45,7 Mb
Release : 2004-03-31
Category : Psychology
ISBN : 9781402019586

Get Book

Recent Developments on Structural Equation Models by Kees van Montfort,Johan Oud,Albert Satorra Pdf

After Karl Jöreskog's first presentation in 1970, Structural Equation Modelling or SEM has become a main statistical tool in many fields of science. It is the standard approach of factor analytic and causal modelling in such diverse fields as sociology, education, psychology, economics, management and medical sciences. In addition to an extension of its application area, Structural Equation Modelling also features a continual renewal and extension of its theoretical background. The sixteen contributions to this book, written by experts from many countries, present important new developments and interesting applications in Structural Equation Modelling. The book addresses methodologists and statisticians professionally dealing with Structural Equation Modelling to enhance their knowledge of the type of models covered and the technical problems involved in their formulation. In addition, the book offers applied researchers new ideas about the use of Structural Equation Modeling in solving their problems. Finally, methodologists, mathematicians and applied researchers alike are addressed, who simply want to update their knowledge of recent approaches in data analysis and mathematical modelling.

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators

István Faragó,János Karátson
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators Book PDF

Author : István Faragó,János Karátson
Publisher : Nova Publishers
Page : 424 pages
File Size : 50,8 Mb
Release : 2002
Category : Mathematics
ISBN : 1590333764

Get Book

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators by István Faragó,János Karátson Pdf

Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications

Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming

E.A.B. Cole
Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices From Theory to Programming Book PDF

Author : E.A.B. Cole
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 45,8 Mb
Release : 2009-11-28
Category : Mathematics
ISBN : 9781848829374

Get Book

Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming by E.A.B. Cole Pdf

Part of my lecturing work in the School of Mathematics at the University of Leeds involved teaching quantum mechanics and statistical mechanics to mathematics undergraduates, and also mathematical methods to undergraduate students in the School of Electronic and Electrical Engineering at the University. The subject of this book has arisen as a result of research collaboration on device modelling with members of the School of Electronic and Electrical Engineering. I wanted to write a book which would be of practical help to those wishing to learn more about the mathematical and numerical methods involved in heteroju- tion device modelling. I have introduced only a comparatively small number of t- ics, and the reader may think that other important topics should have been included. But of the topics which I have introduced, I hope that I have given the reader some practical advice concerning the implementation of the methods which are discussed. This practical advice includes demonstrating how the implementation of the me- ods may be tailored to the speci?c device being modelled, and also includes some sections of computer code to illustrate this implementation. I have also included some background theory regarding the origins of the routines.

Mathematical Models in Electrical Circuits: Theory and Applications

C. A. Marinov,Pekka Neittaanmäki
Mathematical Models in Electrical Circuits Theory and Applications Book PDF

Author : C. A. Marinov,Pekka Neittaanmäki
Publisher : Springer Science & Business Media
Page : 171 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401134408

Get Book

Mathematical Models in Electrical Circuits: Theory and Applications by C. A. Marinov,Pekka Neittaanmäki Pdf

One service mathematics has rendered the 'Et moi ... si favait su comment en revenir, je n'y seTais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense', The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One scrvice logic has rendered com puter science .. .'; 'One service category theory has rendcred mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e"tre of this scries.

Plausible Neural Networks for Biological Modelling

H.A. Mastebroek,J.E. Vos
Plausible Neural Networks for Biological Modelling Book PDF

Author : H.A. Mastebroek,J.E. Vos
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9789401006743

Get Book

Plausible Neural Networks for Biological Modelling by H.A. Mastebroek,J.E. Vos Pdf

The expression 'Neural Networks' refers traditionally to a class of mathematical algorithms that obtain their proper performance while they 'learn' from examples or from experience. As a consequence, they are suitable for performing straightforward and relatively simple tasks like classification, pattern recognition and prediction, as well as more sophisticated tasks like the processing of temporal sequences and the context dependent processing of complex problems. Also, a wide variety of control tasks can be executed by them, and the suggestion is relatively obvious that neural networks perform adequately in such cases because they are thought to mimic the biological nervous system which is also devoted to such tasks. As we shall see, this suggestion is false but does not do any harm as long as it is only the final performance of the algorithm which counts. Neural networks are also used in the modelling of the functioning of (sub systems in) the biological nervous system. It will be clear that in such cases it is certainly not irrelevant how similar their algorithm is to what is precisely going on in the nervous system. Standard artificial neural networks are constructed from 'units' (roughly similar to neurons) that transmit their 'activity' (similar to membrane potentials or to mean firing rates) to other units via 'weight factors' (similar to synaptic coupling efficacies).

Foundations of Generic Optimization

M. Iglesias,B. Naudts,C. Vidal
Foundations of Generic Optimization Book PDF

Author : M. Iglesias,B. Naudts,C. Vidal
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 46,6 Mb
Release : 2005-07-06
Category : Computers
ISBN : 1402036663

Get Book

Foundations of Generic Optimization by M. Iglesias,B. Naudts,C. Vidal Pdf

The success of a genetic algorithm when applied to an optimization problem depends upon several features present or absent in the problem to be solved, including the quality of the encoding of data, the geometric structure of the search space, deception or epistasis. This book deals essentially with the latter notion, presenting for the first time a complete state-of-the-art research on this notion, in a structured completely self-contained and methodical way. In particular, it contains a refresher on the linear algebra used in the text as well as an elementary introductory chapter on genetic algorithms aimed at readers unacquainted with this notion. In this way, the monograph aims to serve a broad audience consisting of graduate and advanced undergraduate students in mathematics and computer science, as well as researchers working in the domains of optimization, artificial intelligence, theoretical computer science, combinatorics and evolutionary algorithms.

The FitzHugh-Nagumo Model

C. Rocsoreanu,A. Georgescu,N. Giurgiteanu
The FitzHugh Nagumo Model Book PDF

Author : C. Rocsoreanu,A. Georgescu,N. Giurgiteanu
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401595483

Get Book

The FitzHugh-Nagumo Model by C. Rocsoreanu,A. Georgescu,N. Giurgiteanu Pdf

The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model.

Algorithmic Methods in Non-Commutative Algebra

J.L. Bueso,José Gómez-Torrecillas,A. Verschoren
Algorithmic Methods in Non Commutative Algebra Book PDF

Author : J.L. Bueso,José Gómez-Torrecillas,A. Verschoren
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 48,5 Mb
Release : 2003-07-31
Category : Computers
ISBN : 1402014023

Get Book

Algorithmic Methods in Non-Commutative Algebra by J.L. Bueso,José Gómez-Torrecillas,A. Verschoren Pdf

The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.

Analysis and Control of Age-Dependent Population Dynamics

S. Anita
Analysis and Control of Age Dependent Population Dynamics Book PDF

Author : S. Anita
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 48,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401594363

Get Book

Analysis and Control of Age-Dependent Population Dynamics by S. Anita Pdf

The material of the present book is an extension of a graduate course given by the author at the University "Al.I. Cuza" Iasi and is intended for stu dents and researchers interested in the applications of optimal control and in mathematical biology. Age is one of the most important parameters in the evolution of a bi ological population. Even if for a very long period age structure has been considered only in demography, nowadays it is fundamental in epidemiology and ecology too. This is the first book devoted to the control of continuous age structured populationdynamics.It focuses on the basic properties ofthe solutions and on the control of age structured population dynamics with or without diffusion. The main goal of this work is to familiarize the reader with the most important problems, approaches and results in the mathematical theory of age-dependent models. Special attention is given to optimal harvesting and to exact controllability problems, which are very important from the econom ical or ecological points of view. We use some new concepts and techniques in modern control theory such as Clarke's generalized gradient, Ekeland's variational principle, and Carleman estimates. The methods and techniques we use can be applied to other control problems.