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The Resource Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)
Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)
Resource Information
The item Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion. All the algorithms introduced throughout the book are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problems raised through exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and indicate the bibliographical references for a more comprehensive treatment of the material
 Language
 eng
 Extent
 1 online resource (ix, 257 pages).
 Contents

 1. What can't be ignored
 1.1 Real numbers
 1.2 Complex numbers
 1.3 Matrices
 1.4 Real functions
 1.5 To err is not only human
 1.6 A few more words about MATLAB
 1.7 What we haven't told you
 1.8 Exercises
 2. Nonlinear equations
 2.1 The bisection method
 2.2 The Newton method
 2.3 Fixed point iterations
 2.4 What we haven't told you
 2.5 Exercises
 3. Approximation of functions and data
 3.1 Interpolation
 3.2 Piecewise linear interpolation
 3.3 Approximation by spline functions
 3.4 The least squares method
 3.5 What we haven't told you
 3.6 Exercises
 4. Numerical differentiation and integration
 4.1 Approximation of function derivatives
 4.2 Numerical integration
 4.3 Simpson adaptive formula
 4.4 What we haven't told you
 4.5 Exercises
 5. Linear systems
 5.1 The LU factorization method
 5.2 The technique of pivoting
 5.3 How accurate is the LU factorization?
 5.4 How to solve a tridiagonal system
 5.5 Iterative methods
 5.5.1 How to construct an iterative method
 5.6 When should an iterative method be stopped?
 5.7 Richardson method
 5.8 What we haven't told you
 5.9 Exercises
 6. Eigenvalues and eigenvectors
 6.1 The power method
 6.2 Generalization of the power method
 6.3 How to compute the shift
 6.4 Computation of all the eigenvalues
 6.5 What we haven't told you
 6.6 Exercises
 7. Ordinary differential equations
 7.1 The Cauchy problem
 7.2 Euler methods
 7.3 The CrankNicolson method
 7.4 Zerostability
 7.5 Stability on unbounded intervals
 7.6 High order methods
 7.7 The predictorcorrector methods
 7.8 Systems of differential equations
 7.9 What we haven't told you
 7.10 Exercises
 8. Numerical methods for boundaryvalue problems
 8.1 Approximation of boundaryvalue problems
 8.2 Finite differences in 2 dimensions
 8.3 What we haven't told you
 8.4 Exercises
 9. Solutions of the exercises
 9.1 Chapter 1
 9.2 Chapter 2
 9.3 Chapter 3
 9.4 Chapter 4
 9.5 Chapter 5
 9.6 Chapter 6
 9.7 Chapter 7
 9.8 Chapter 8
 Index of MATLAB Programs
 Isbn
 9783642593390
 Label
 Scientific Computing with MATLAB
 Title
 Scientific Computing with MATLAB
 Statement of responsibility
 by Alfio Quarteroni, Fausto Saleri
 Language
 eng
 Summary
 This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete and appealing, the programming environment Matlab is adopted as a faithful companion. All the algorithms introduced throughout the book are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problems raised through exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and indicate the bibliographical references for a more comprehensive treatment of the material
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Quarteroni, Alfio
 Dewey number
 004
 Index
 no index present
 LC call number
 QA7190
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Saleri, Fausto
 Series statement
 Texts in Computational Science and Engineering,
 Series volume
 2
 http://library.link/vocab/subjectName

 Mathematics
 Chemistry
 Computer science
 Visualization
 Engineering
 Chemistry
 Computer science
 Engineering
 Mathematics
 Visualization
 Label
 Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1. What can't be ignored  1.1 Real numbers  1.2 Complex numbers  1.3 Matrices  1.4 Real functions  1.5 To err is not only human  1.6 A few more words about MATLAB  1.7 What we haven't told you  1.8 Exercises  2. Nonlinear equations  2.1 The bisection method  2.2 The Newton method  2.3 Fixed point iterations  2.4 What we haven't told you  2.5 Exercises  3. Approximation of functions and data  3.1 Interpolation  3.2 Piecewise linear interpolation  3.3 Approximation by spline functions  3.4 The least squares method  3.5 What we haven't told you  3.6 Exercises  4. Numerical differentiation and integration  4.1 Approximation of function derivatives  4.2 Numerical integration  4.3 Simpson adaptive formula  4.4 What we haven't told you  4.5 Exercises  5. Linear systems  5.1 The LU factorization method  5.2 The technique of pivoting  5.3 How accurate is the LU factorization?  5.4 How to solve a tridiagonal system  5.5 Iterative methods  5.5.1 How to construct an iterative method  5.6 When should an iterative method be stopped?  5.7 Richardson method  5.8 What we haven't told you  5.9 Exercises  6. Eigenvalues and eigenvectors  6.1 The power method  6.2 Generalization of the power method  6.3 How to compute the shift  6.4 Computation of all the eigenvalues  6.5 What we haven't told you  6.6 Exercises  7. Ordinary differential equations  7.1 The Cauchy problem  7.2 Euler methods  7.3 The CrankNicolson method  7.4 Zerostability  7.5 Stability on unbounded intervals  7.6 High order methods  7.7 The predictorcorrector methods  7.8 Systems of differential equations  7.9 What we haven't told you  7.10 Exercises  8. Numerical methods for boundaryvalue problems  8.1 Approximation of boundaryvalue problems  8.2 Finite differences in 2 dimensions  8.3 What we haven't told you  8.4 Exercises  9. Solutions of the exercises  9.1 Chapter 1  9.2 Chapter 2  9.3 Chapter 3  9.4 Chapter 4  9.5 Chapter 5  9.6 Chapter 6  9.7 Chapter 7  9.8 Chapter 8  Index of MATLAB Programs
 Dimensions
 unknown
 Extent
 1 online resource (ix, 257 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783642593390
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642593390
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851759961
 (OCoLC)ocn851759961
 Label
 Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1. What can't be ignored  1.1 Real numbers  1.2 Complex numbers  1.3 Matrices  1.4 Real functions  1.5 To err is not only human  1.6 A few more words about MATLAB  1.7 What we haven't told you  1.8 Exercises  2. Nonlinear equations  2.1 The bisection method  2.2 The Newton method  2.3 Fixed point iterations  2.4 What we haven't told you  2.5 Exercises  3. Approximation of functions and data  3.1 Interpolation  3.2 Piecewise linear interpolation  3.3 Approximation by spline functions  3.4 The least squares method  3.5 What we haven't told you  3.6 Exercises  4. Numerical differentiation and integration  4.1 Approximation of function derivatives  4.2 Numerical integration  4.3 Simpson adaptive formula  4.4 What we haven't told you  4.5 Exercises  5. Linear systems  5.1 The LU factorization method  5.2 The technique of pivoting  5.3 How accurate is the LU factorization?  5.4 How to solve a tridiagonal system  5.5 Iterative methods  5.5.1 How to construct an iterative method  5.6 When should an iterative method be stopped?  5.7 Richardson method  5.8 What we haven't told you  5.9 Exercises  6. Eigenvalues and eigenvectors  6.1 The power method  6.2 Generalization of the power method  6.3 How to compute the shift  6.4 Computation of all the eigenvalues  6.5 What we haven't told you  6.6 Exercises  7. Ordinary differential equations  7.1 The Cauchy problem  7.2 Euler methods  7.3 The CrankNicolson method  7.4 Zerostability  7.5 Stability on unbounded intervals  7.6 High order methods  7.7 The predictorcorrector methods  7.8 Systems of differential equations  7.9 What we haven't told you  7.10 Exercises  8. Numerical methods for boundaryvalue problems  8.1 Approximation of boundaryvalue problems  8.2 Finite differences in 2 dimensions  8.3 What we haven't told you  8.4 Exercises  9. Solutions of the exercises  9.1 Chapter 1  9.2 Chapter 2  9.3 Chapter 3  9.4 Chapter 4  9.5 Chapter 5  9.6 Chapter 6  9.7 Chapter 7  9.8 Chapter 8  Index of MATLAB Programs
 Dimensions
 unknown
 Extent
 1 online resource (ix, 257 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783642593390
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642593390
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851759961
 (OCoLC)ocn851759961
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