The Resource Fundamentals of scientific computing, Bertil Gustafsson
Fundamentals of scientific computing, Bertil Gustafsson
Resource Information
The item Fundamentals of scientific computing, Bertil Gustafsson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Fundamentals of scientific computing, Bertil Gustafsson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 The book of nature is written in the language of mathematics ¡ Galileo Galilei ¡ How is it possible to predict weather patterns for tomorrow, with access solely to today's weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models  sets of equations  that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®
 Language
 eng
 Extent
 1 online resource (xiii, 316 pages)
 Contents

 Part I Models and elementary mathematics
 Part II Fundamentals in numerical analysis
 Part III Numerical methods for differential equations
 Part IV Numerical methods for algebraic equations
 Part V Applications
 References
 Index
 Isbn
 9783642194948
 Label
 Fundamentals of scientific computing
 Title
 Fundamentals of scientific computing
 Statement of responsibility
 Bertil Gustafsson
 Subject

 Computer science  Mathematics
 Computer science  Mathematics
 Computer simulation
 Computer simulation
 Computer simulation
 Science  Data processing
 Science  Data processing
 Science  Data processing
 Science  Methodology
 Science  Methodology
 Science  Methodology
 Computer science  Mathematics
 Language
 eng
 Summary
 The book of nature is written in the language of mathematics ¡ Galileo Galilei ¡ How is it possible to predict weather patterns for tomorrow, with access solely to today's weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models  sets of equations  that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1930
 http://library.link/vocab/creatorName
 Gustafsson, Bertil
 Dewey number
 003/.3
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA76.9.C65
 LC item number
 G87 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Texts in computational science and engineering
 Series volume
 8
 http://library.link/vocab/subjectName

 Computer simulation
 Computer science
 Science
 Science
 Computer science
 Computer simulation
 Science
 Science
 Label
 Fundamentals of scientific computing, Bertil Gustafsson
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Models and elementary mathematics  Part II Fundamentals in numerical analysis  Part III Numerical methods for differential equations  Part IV Numerical methods for algebraic equations  Part V Applications  References  Index
 Control code
 745003748
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 316 pages)
 Form of item
 online
 Isbn
 9783642194948
 Lccn
 2011929632
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642194955
 Other physical details
 illustrations (chiefly color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642194948
 Specific material designation
 remote
 System control number
 (OCoLC)745003748
 Label
 Fundamentals of scientific computing, Bertil Gustafsson
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Part I Models and elementary mathematics  Part II Fundamentals in numerical analysis  Part III Numerical methods for differential equations  Part IV Numerical methods for algebraic equations  Part V Applications  References  Index
 Control code
 745003748
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 316 pages)
 Form of item
 online
 Isbn
 9783642194948
 Lccn
 2011929632
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783642194955
 Other physical details
 illustrations (chiefly color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783642194948
 Specific material designation
 remote
 System control number
 (OCoLC)745003748
Subject
 Computer science  Mathematics
 Computer science  Mathematics
 Computer simulation
 Computer simulation
 Computer simulation
 Science  Data processing
 Science  Data processing
 Science  Data processing
 Science  Methodology
 Science  Methodology
 Science  Methodology
 Computer science  Mathematics
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/FundamentalsofscientificcomputingBertil/DRjc3fhYEDY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/FundamentalsofscientificcomputingBertil/DRjc3fhYEDY/">Fundamentals of scientific computing, Bertil Gustafsson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>