Scientific computing with MATLAB and Octave / (Record no. 1631)
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000 -LEADER | |
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fixed length control field | 10495cam a22001697a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9788184894301 (pb) |
040 ## - CATALOGING SOURCE | |
Transcribing agency | CUS |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 004.076 |
Item number | QUA/S |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Quarteroni, Alfio. |
245 10 - TITLE STATEMENT | |
Title | Scientific computing with MATLAB and Octave / |
Statement of responsibility, etc. | Alfio Quarteroni and Fausto Saleri. |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | Berlin : |
-- | New York : |
Name of publisher, distributor, etc. | Springer, |
Date of publication, distribution, etc. | 2006. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xvi, 318 p. : |
Dimensions | 24 cm. |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | What can't be ignored<br/>1.1 Real numbers<br/>1.1.1 How we represent them<br/>1.1.2 How we operate with floating-point numbers<br/>1.2 Complex numbers<br/>1.3 Matrices<br/>1.3.1 Vectors<br/>1.4 Real functions<br/>1.4.1 The zeros<br/>1.4.2 Polynomials<br/>1.4.3 Integration and differentiatior<br/>1.5 To err is not only human<br/>1.5.1 Talking about costs<br/>1.6 The MATLAB and Octave environments<br/>1.7 The MATLAB language<br/>1.7.1 MATLAB statements<br/>1.7.2 Programming in MATLAB<br/>1.7.3 Examples of differences between MATLAB<br/>and Octave languages .<br/>1.8 What we haven't told you<br/>1.9 Exercises<br/>Nonlinear equations<br/>2.1 The bisection method<br/>2.2 The Newton method .<br/>2.2.1 How to terminate Newton's iterations<br/>2.2.2 The Newton method for systems of nonlinear<br/>equations<br/>2.3 Fixed point iterations<br/>2.3.1 How to terminate fixed point iterations<br/>2.4 Acceleration using Aitken niethod<br/>2.5 Algebraic polynoinials<br/>2.5.1 Homer's algorithm<br/>2.5.2 The Newton-Horner method<br/>2.6 What we haven't told you<br/>2.7 Exercises<br/>Approximation of functions and data<br/>3.1 Interpolation<br/>3.1.1 Lagrangian polynomial interpolation<br/>3.1.2 Chebyshev interpolation.<br/>3.1.3 Trigonometric interpolation and FFT<br/>3.2 Piecewise linear interpolation<br/>3.3 Approximation by spline functions<br/>3.4 The least-squares method.<br/>3.5 What we haven't told you<br/>3.6 Exercises<br/>Numerical differentiation and integration<br/>4.1 Approximation of function derivatives<br/>4.2 Numerical integration<br/>4.2.1 Midpoint formula<br/>4.2.2 Trapezoidal formula<br/>4.2.3 Simpson formula<br/>4.3 Interpolatory quadratures<br/>4.4 Simpson adaptive formula<br/>4.5 What we haven't told you<br/>4.6 Exercises<br/>Linear systems<br/>5.1 The LU factorization method<br/>5.2 The pivoting technique<br/>5.3 How accurate is the LU factorization?<br/>5.4 How to solve a tridiagonal system<br/>5.5 Overdetermined systems.<br/>5.6 What is hidden behind the command ^<br/>5.7 Iterative methods<br/>5.7.1 How to construct an iterative method .<br/>5.8 Richardson and gradient methods<br/>5.9 The conjugate gradient method . .<br/>5.10 When should an iterative method be stopped?<br/>5.11 To wrap-up: direct or iterative?<br/>5.12 What we haven't told you<br/>5.13 Exercises<br/>Eigenvalues and eigenvectors<br/>6.1 The power method<br/>6.1.1 Convergence analysis<br/>6.2 Generalization of the power method<br/>6.3 How to compute the shift<br/>6.4 Computation of all the eigenvalues.<br/>6.5 What we haven't told you<br/>6.6 Exercises<br/>Ordinary differential equations<br/>7.1 The Cauchy problem<br/>7.2 Euler methods<br/>7.2.1 Convergence analysis<br/>7.3 The Crank-Nicolson method<br/>7.4 Zero-stability<br/>7.5 Stability on unbounded intervals<br/>7.5.1 The region of absolute stability<br/>7.5.2 Absolute stability controls perturbations<br/>7.6 High order methods<br/>7.7 The predictor-corrector methods<br/>7.8 Systems of differential equations<br/>7.9 Some examples<br/>7.9.1 The spherical pendulum<br/>7.9.2 The three-body problem<br/>7.9.3 Some stiff problems<br/>7.10 What we haven't told you<br/>7.11 Exercises<br/>Numerical methods for (initial-)boundary-value<br/>problems<br/>8.1 Approximation of boundary-value problems<br/>8.1.1 Approximation by finite differences<br/>8.1.2 Approximation by finite elements<br/>8.1.3 Approximation by finite differences<br/>of two-dimensional problems<br/>8.1.4 Consistency and convergence<br/>8.2 Finite difference approximation of the heat equation<br/>8.3 The wave equation<br/>8.3.1 Approximation by finite differences<br/>8.4 What we haven't told you<br/>8.5 ExercisesWhat can't be ignored<br/>1.1 Real numbers<br/>1.1.1 How we represent them<br/>1.1.2 How we operate with floating-point numbers<br/>1.2 Complex numbers<br/>1.3 Matrices<br/>1.3.1 Vectors<br/>1.4 Real functions<br/>1.4.1 The zeros<br/>1.4.2 Polynomials<br/>1.4.3 Integration and differentiatior<br/>1.5 To err is not only human<br/>1.5.1 Talking about costs<br/>1.6 The MATLAB and Octave environments<br/>1.7 The MATLAB language<br/>1.7.1 MATLAB statements<br/>1.7.2 Programming in MATLAB<br/>1.7.3 Examples of differences between MATLAB<br/>and Octave languages .<br/>1.8 What we haven't told you<br/>1.9 Exercises<br/>Nonlinear equations<br/>2.1 The bisection method<br/>2.2 The Newton method .<br/>2.2.1 How to terminate Newton's iterations<br/>2.2.2 The Newton method for systems of nonlinear<br/>equations<br/>2.3 Fixed point iterations<br/>2.3.1 How to terminate fixed point iterations<br/>2.4 Acceleration using Aitken niethod<br/>2.5 Algebraic polynoinials<br/>2.5.1 Homer's algorithm<br/>2.5.2 The Newton-Horner method<br/>2.6 What we haven't told you<br/>2.7 Exercises<br/>Approximation of functions and data<br/>3.1 Interpolation<br/>3.1.1 Lagrangian polynomial interpolation<br/>3.1.2 Chebyshev interpolation.<br/>3.1.3 Trigonometric interpolation and FFT<br/>3.2 Piecewise linear interpolation<br/>3.3 Approximation by spline functions<br/>3.4 The least-squares method.<br/>3.5 What we haven't told you<br/>3.6 Exercises<br/>Numerical differentiation and integration<br/>4.1 Approximation of function derivatives<br/>4.2 Numerical integration<br/>4.2.1 Midpoint formula<br/>4.2.2 Trapezoidal formula<br/>4.2.3 Simpson formula<br/>4.3 Interpolatory quadratures<br/>4.4 Simpson adaptive formula<br/>4.5 What we haven't told you<br/>4.6 Exercises<br/>Linear systems<br/>5.1 The LU factorization method<br/>5.2 The pivoting technique<br/>5.3 How accurate is the LU factorization?<br/>5.4 How to solve a tridiagonal system<br/>5.5 Overdetermined systems.<br/>5.6 What is hidden behind the command ^<br/>5.7 Iterative methods<br/>5.7.1 How to construct an iterative method .<br/>5.8 Richardson and gradient methods<br/>5.9 The conjugate gradient method . .<br/>5.10 When should an iterative method be stopped?<br/>5.11 To wrap-up: direct or iterative?<br/>5.12 What we haven't told you<br/>5.13 Exercises<br/>Eigenvalues and eigenvectors<br/>6.1 The power method<br/>6.1.1 Convergence analysis<br/>6.2 Generalization of the power method<br/>6.3 How to compute the shift<br/>6.4 Computation of all the eigenvalues.<br/>6.5 What we haven't told you<br/>6.6 Exercises<br/>Ordinary differential equations<br/>7.1 The Cauchy problem<br/>7.2 Euler methods<br/>7.2.1 Convergence analysis<br/>7.3 The Crank-Nicolson method<br/>7.4 Zero-stability<br/>7.5 Stability on unbounded intervals<br/>7.5.1 The region of absolute stability<br/>7.5.2 Absolute stability controls perturbations<br/>7.6 High order methods<br/>7.7 The predictor-corrector methods<br/>7.8 Systems of differential equations<br/>7.9 Some examples<br/>7.9.1 The spherical pendulum<br/>7.9.2 The three-body problem<br/>7.9.3 Some stiff problems<br/>7.10 What we haven't told you<br/>7.11 Exercises<br/>Numerical methods for (initial-)boundary-value<br/>problems<br/>8.1 Approximation of boundary-value problems<br/>8.1.1 Approximation by finite differences<br/>8.1.2 Approximation by finite elements<br/>8.1.3 Approximation by finite differences<br/>of two-dimensional problems<br/>8.1.4 Consistency and convergence<br/>8.2 Finite difference approximation of the heat equation<br/>8.3 The wave equation<br/>8.3.1 Approximation by finite differences<br/>8.4 What we haven't told you<br/>8.5 ExercisesWhat can't be ignored<br/>1.1 Real numbers<br/>1.1.1 How we represent them<br/>1.1.2 How we operate with floating-point numbers<br/>1.2 Complex numbers<br/>1.3 Matrices<br/>1.3.1 Vectors<br/>1.4 Real functions<br/>1.4.1 The zeros<br/>1.4.2 Polynomials<br/>1.4.3 Integration and differentiatior<br/>1.5 To err is not only human<br/>1.5.1 Talking about costs<br/>1.6 The MATLAB and Octave environments<br/>1.7 The MATLAB language<br/>1.7.1 MATLAB statements<br/>1.7.2 Programming in MATLAB<br/>1.7.3 Examples of differences between MATLAB<br/>and Octave languages .<br/>1.8 What we haven't told you<br/>1.9 Exercises<br/>Nonlinear equations<br/>2.1 The bisection method<br/>2.2 The Newton method .<br/>2.2.1 How to terminate Newton's iterations<br/>2.2.2 The Newton method for systems of nonlinear<br/>equations<br/>2.3 Fixed point iterations<br/>2.3.1 How to terminate fixed point iterations<br/>2.4 Acceleration using Aitken niethod<br/>2.5 Algebraic polynoinials<br/>2.5.1 Homer's algorithm<br/>2.5.2 The Newton-Horner method<br/>2.6 What we haven't told you<br/>2.7 Exercises<br/>Approximation of functions and data<br/>3.1 Interpolation<br/>3.1.1 Lagrangian polynomial interpolation<br/>3.1.2 Chebyshev interpolation.<br/>3.1.3 Trigonometric interpolation and FFT<br/>3.2 Piecewise linear interpolation<br/>3.3 Approximation by spline functions<br/>3.4 The least-squares method.<br/>3.5 What we haven't told you<br/>3.6 Exercises<br/>Numerical differentiation and integration<br/>4.1 Approximation of function derivatives<br/>4.2 Numerical integration<br/>4.2.1 Midpoint formula<br/>4.2.2 Trapezoidal formula<br/>4.2.3 Simpson formula<br/>4.3 Interpolatory quadratures<br/>4.4 Simpson adaptive formula<br/>4.5 What we haven't told you<br/>4.6 Exercises<br/>Linear systems<br/>5.1 The LU factorization method<br/>5.2 The pivoting technique<br/>5.3 How accurate is the LU factorization?<br/>5.4 How to solve a tridiagonal system<br/>5.5 Overdetermined systems.<br/>5.6 What is hidden behind the command ^<br/>5.7 Iterative methods<br/>5.7.1 How to construct an iterative method .<br/>5.8 Richardson and gradient methods<br/>5.9 The conjugate gradient method . .<br/>5.10 When should an iterative method be stopped?<br/>5.11 To wrap-up: direct or iterative?<br/>5.12 What we haven't told you<br/>5.13 Exercises<br/>Eigenvalues and eigenvectors<br/>6.1 The power method<br/>6.1.1 Convergence analysis<br/>6.2 Generalization of the power method<br/>6.3 How to compute the shift<br/>6.4 Computation of all the eigenvalues.<br/>6.5 What we haven't told you<br/>6.6 Exercises<br/>Ordinary differential equations<br/>7.1 The Cauchy problem<br/>7.2 Euler methods<br/>7.2.1 Convergence analysis<br/>7.3 The Crank-Nicolson method<br/>7.4 Zero-stability<br/>7.5 Stability on unbounded intervals<br/>7.5.1 The region of absolute stability<br/>7.5.2 Absolute stability controls perturbations<br/>7.6 High order methods<br/>7.7 The predictor-corrector methods<br/>7.8 Systems of differential equations<br/>7.9 Some examples<br/>7.9.1 The spherical pendulum<br/>7.9.2 The three-body problem<br/>7.9.3 Some stiff problems<br/>7.10 What we haven't told you<br/>7.11 Exercises<br/>Numerical methods for (initial-)boundary-value<br/>problems<br/>8.1 Approximation of boundary-value problems<br/>8.1.1 Approximation by finite differences<br/>8.1.2 Approximation by finite elements<br/>8.1.3 Approximation by finite differences<br/>of two-dimensional problems<br/>8.1.4 Consistency and convergence<br/>8.2 Finite difference approximation of the heat equation<br/>8.3 The wave equation<br/>8.3.1 Approximation by finite differences<br/>8.4 What we haven't told you<br/>8.5 Exercises |
650 #0 - SUBJECT | |
Keyword | Science |
General subdivision | Data processing. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | General Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
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Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 31/05/2016 | 004.076 QUA/S | P31582 | 14/07/2018 | 14/07/2018 | General Books |