Modelling Mathematical Methods and Scientific Computation by Nicola Bellomo

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Pages
512
Publication Date
1994-12-22
Subject Area
Scientific Computing
Book Title
Modelling Mathematical Methods and Scientific Computation
Subject
Mathematics
Brand
Unbranded
ISBN
9780849383311
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Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0849383315
ISBN-13
9780849383311
eBay Product ID (ePID)
1005717

Product Key Features

Number of Pages
512 Pages
Language
English
Publication Name
Modelling Mathematical Methods and Scientific Computation
Subject
Number Systems, General
Publication Year
1994
Type
Textbook
Author
Nicola Bellomo, Luigi Preziosi
Subject Area
Mathematics
Series
Mathematical Modeling Ser.
Format
Hardcover

Dimensions

Item Height
1.3 in
Item Weight
32.1 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
94-038722
Reviews
"The style of presentation is simply excellent. The authors carefully separate definitions, examples, theory, and remarks. This organization makes this text highly readable, suitable for use as both a text and a reference." - F. Jafari, Appl. Mech. Rev., 49(5), May 1996
Dewey Edition
20
Series Volume Number
1
Illustrated
Yes
Dewey Decimal
501/.1
Table Of Content
Preface Mathematical Modelling Introduction Definition of Mathematical Modelling Classification of Mathematical Modelling Modelling Methods Validation of Mathematical Models Mathematical Modelling as a Science Discrete Models Plan of Chapter 2 About Mathematical Modelling Mathematical Formulation of Problems On Existence, Uniqueness and Continuity Linear Systems Stability and Linearization From Bifurcation to Chaos Numerical Methods for Initial Value Problems Scientific Programs Continuous Models Introduction Mathematical Modelling Equilibrium Equation for the Vibration of an Elastic String Mathematical Models of Continuum Mechanics Mathematical Models of Electromagnetism Direct Simulation Models in Biology Classification and Characteristics Mathematical Formulation of Problems Finite Difference Methods The Collocation Method Decomposition of Domains Applications and Scientific Programs Inverse and Stochastic Problems Inverse Problems and Stochastic Models Classification of Inverse Problems Solution by Decomposition of Domains Solution by Minimization Techniques Mathematical Modelling and Stochasticity Classification of Discrete Stochastic Models Classification of Continuous Stochastic Models Modelling and Solution of Problems Stochastic Aspects and Inverse Problems Kinetic Models Application Discussion and Developments Scientific Programs Appendix 1. Functional Spaces and Fixed Point Theorems Appendix 2. Interpolation and Approximation Appendix 3. Random Variables References Subjects Index
Synopsis
Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods, Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.
LC Classification Number
QA401.B44 1995

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