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Applied numerical methods using MATLAB [[electronic resource] /] / Won Young Yang ... [et al.]
| Applied numerical methods using MATLAB [[electronic resource] /] / Won Young Yang ... [et al.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2005 |
| Descrizione fisica | 1 online resource (525 p.) |
| Disciplina |
518
518.02855 |
| Altri autori (Persone) | YangWŏn-yŏng <1953-> |
| Soggetto topico | Numerical analysis - Data processing |
| ISBN |
1-280-27579-0
9786610275793 0-470-23193-9 0-471-70519-5 0-471-70518-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
APPLIED NUMERICAL METHODS USING MATLAB®; CONTENTS; Preface; 1 MATLAB Usage and Computational Errors; 1.1 Basic Operations of MATLAB; 1.1.1 Input/Output of Data from MATLAB Command Window; 1.1.2 Input/Output of Data Through Files; 1.1.3 Input/Output of Data Using Keyboard; 1.1.4 2-D Graphic Input/Output; 1.1.5 3-D Graphic Output; 1.1.6 Mathematical Functions; 1.1.7 Operations on Vectors and Matrices; 1.1.8 Random Number Generators; 1.1.9 Flow Control; 1.2 Computer Errors Versus Human Mistakes; 1.2.1 IEEE 64-bit Floating-Point Number Representation; 1.2.2 Various Kinds of Computing Errors
1.2.3 Absolute/Relative Computing Errors1.2.4 Error Propagation; 1.2.5 Tips for Avoiding Large Errors; 1.3 Toward Good Program; 1.3.1 Nested Computing for Computational Efficiency; 1.3.2 Vector Operation Versus Loop Iteration; 1.3.3 Iterative Routine Versus Nested Routine; 1.3.4 To Avoid Runtime Error; 1.3.5 Parameter Sharing via Global Variables; 1.3.6 Parameter Passing Through Varargin; 1.3.7 Adaptive Input Argument List; Problems; 2 System of Linear Equations; 2.1 Solution for a System of Linear Equations; 2.1.1 The Nonsingular Case (M = N) 2.1.2 The Underdetermined Case (M N): Least-Squares Error Solution; 2.1.4 RLSE (Recursive Least-Squares Estimation); 2.2 Solving a System of Linear Equations; 2.2.1 Gauss Elimination; 2.2.2 Partial Pivoting; 2.2.3 Gauss-Jordan Elimination; 2.3 Inverse Matrix; 2.4 Decomposition (Factorization); 2.4.1 LU Decomposition (Factorization): Triangularization; 2.4.2 Other Decomposition (Factorization): Cholesky, QR, and SVD; 2.5 Iterative Methods to Solve Equations; 2.5.1 Jacobi Iteration; 2.5.2 Gauss-Seidel Iteration 2.5.3 The Convergence of Jacobi and Gauss-Seidel IterationsProblems; 3 Interpolation and Curve Fitting; 3.1 Interpolation by Lagrange Polynomial; 3.2 Interpolation by Newton Polynomial; 3.3 Approximation by Chebyshev Polynomial; 3.4 Pade Approximation by Rational Function; 3.5 Interpolation by Cubic Spline; 3.6 Hermite Interpolating Polynomial; 3.7 Two-dimensional Interpolation; 3.8 Curve Fitting; 3.8.1 Straight Line Fit: A Polynomial Function of First Degree; 3.8.2 Polynomial Curve Fit: A Polynomial Function of Higher Degree; 3.8.3 Exponential Curve Fit and Other Functions 3.9 Fourier Transform3.9.1 FFT Versus DFT; 3.9.2 Physical Meaning of DFT; 3.9.3 Interpolation by Using DFS; Problems; 4 Nonlinear Equations; 4.1 Iterative Method Toward Fixed Point; 4.2 Bisection Method; 4.3 False Position or Regula Falsi Method; 4.4 Newton(-Raphson) Method; 4.5 Secant Method; 4.6 Newton Method for a System of Nonlinear Equations; 4.7 Symbolic Solution for Equations; 4.8 A Real-World Problem; Problems; 5 Numerical Differentiation/Integration; 5.1 Difference Approximation for First Derivative; 5.2 Approximation Error of First Derivative 5.3 Difference Approximation for Second and Higher Derivative |
| Record Nr. | UNINA-9910143562803321 |
| Hoboken, N.J., : Wiley-Interscience, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Esercizi di calcolo numerico svolti in MATLAB / Antonio Galli
| Esercizi di calcolo numerico svolti in MATLAB / Antonio Galli |
| Autore | GALLI, Antonio |
| Pubbl/distr/stampa | Bologna : Esculapio-Progetto Leonardo, 2011 |
| Descrizione fisica | 232 p. ; 24 cm |
| Disciplina | 518.02855 |
| Collana | Collana Progetto Leonardo |
| Soggetto topico | Calcolo numerico - Esercizi - Impiego di MATLAB |
| ISBN | 978-88-7488-421-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISA-996232249903316 |
GALLI, Antonio
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| Bologna : Esculapio-Progetto Leonardo, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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