The Resource Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)

Scientific Computing with MATLAB, by Alfio Quarteroni, Fausto Saleri, (electronic resource)

Label
Scientific Computing with MATLAB
Title
Scientific Computing with MATLAB
Statement of responsibility
by Alfio Quarteroni, Fausto Saleri
Creator
Contributor
Subject
Genre
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
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Quarteroni, Alfio
Dewey number
004
Index
no index present
LC call number
QA71-90
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)
Link
http://dx.doi.org/10.1007/978-3-642-59339-0
Instantiates
Publication
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 Crank-Nicolson method -- 7.4 Zero-stability -- 7.5 Stability on unbounded intervals -- 7.6 High order methods -- 7.7 The predictor-corrector methods -- 7.8 Systems of differential equations -- 7.9 What we haven't told you -- 7.10 Exercises -- 8. Numerical methods for boundary-value problems -- 8.1 Approximation of boundary-value 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
10.1007/978-3-642-59339-0
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)
Link
http://dx.doi.org/10.1007/978-3-642-59339-0
Publication
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 Crank-Nicolson method -- 7.4 Zero-stability -- 7.5 Stability on unbounded intervals -- 7.6 High order methods -- 7.7 The predictor-corrector methods -- 7.8 Systems of differential equations -- 7.9 What we haven't told you -- 7.10 Exercises -- 8. Numerical methods for boundary-value problems -- 8.1 Approximation of boundary-value 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
10.1007/978-3-642-59339-0
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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