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Applied Numerical Methods Using MATLAB
| Applied Numerical Methods Using MATLAB |
| Autore | Yang Won Y |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Newark : , : John Wiley & Sons, Incorporated, , 2020 |
| Descrizione fisica | 1 online resource (653 pages) |
| Disciplina | 518 |
| Altri autori (Persone) |
CaoWenwu
KimJaekwon ParkKyung W ParkHo-Hyun JoungJingon RoJong-Suk LeeHan L HongCheol-Ho ImTaeho |
| Soggetto topico | Numerical analysis - Data processing |
| ISBN |
1-5231-5509-4
1-119-62682-X 1-119-62687-0 1-119-62671-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Copyright -- Contents -- Preface -- Acknowledgments -- About the Companion Website -- Chapter 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 Two‐Dimensional (2D) Graphic Input/Output -- 1.1.5 Three Dimensional (3D) 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 vs. 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 Errors -- 1.2.4 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 vs. Loop Iteration -- 1.3.3 Iterative Routine vs. Recursive 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 -- Chapter 2 System of Linear Equations -- 2.1 Solution for a System of Linear Equations -- 2.1.1 The Nonsingular Case (M & -- equals -- N) -- 2.1.2 The Underdetermined Case (M < -- N): Minimum‐norm Solution -- 2.1.3 The Overdetermined Case (M > -- N): Least‐squares Error Solution -- 2.1.4 Recursive Least‐Squares Estimation (RLSE) -- 2.2 Solving a System of Linear Equations -- 2.2.1 Gauss(ian) 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 Iterations -- Chapter 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 Degree 1 -- 3.8.2 Polynomial Curve Fit - A Polynomial Function of Higher Degree -- 3.8.3 Exponential Curve Fit and Other Functions -- 3.9 Fourier Transform -- 3.9.1 FFT vs. DFT -- 3.9.2 Physical Meaning of DFT -- 3.9.3 Interpolation by Using DFS -- Chapter 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 Bairstow's Method for a Polynomial Equation -- 4.8 Symbolic Solution for Equations -- 4.9 Real‐World Problems -- Chapter 5 Numerical Differentiation/Integration -- 5.1 Difference Approximation for the First Derivative -- 5.2 Approximation Error of the First Derivative -- 5.3 Difference Approximation for Second and Higher Derivative -- 5.4 Interpolating Polynomial and Numerical Differential -- 5.5 Numerical Integration and Quadrature -- 5.6 Trapezoidal Method and Simpson Method -- 5.7 Recursive Rule and Romberg Integration -- 5.8 Adaptive Quadrature -- 5.9 Gauss Quadrature -- 5.9.1 Gauss‐Legendre Integration -- 5.9.2 Gauss‐Hermite Integration -- 5.9.3 Gauss‐Laguerre Integration -- 5.9.4 Gauss‐Chebyshev Integration -- 5.10 Double Integral -- 5.11 Integration Involving PWL Function -- Chapter 6 Ordinary Differential Equations. 6.1 Euler's Method -- 6.2 Heun's Method - Trapezoidal Method -- 6.3 Runge‐Kutta Method -- 6.4 Predictor‐Corrector Method -- 6.4.1 Adams‐Bashforth‐Moulton Method -- 6.4.2 Hamming Method -- 6.4.3 Comparison of Methods -- 6.5 Vector Differential Equations -- 6.5.1 State Equation -- 6.5.2 Discretization of LTI State Equation -- 6.5.3 High‐order Differential Equation to State Equation -- 6.5.4 Stiff Equation -- 6.6 Boundary Value Problem (BVP) -- 6.6.1 Shooting Method -- 6.6.2 Finite Difference Method -- Chapter 7 Optimization -- 7.1 Unconstrained Optimization -- 7.1.1 Golden Search Method -- 7.1.2 Quadratic Approximation Method -- 7.1.3 Nelder‐Mead Method -- 7.1.4 Steepest Descent Method -- 7.1.5 Newton Method -- 7.1.6 Conjugate Gradient Method -- 7.1.7 Simulated Annealing -- 7.1.8 Genetic Algorithm -- 7.2 Constrained Optimization -- 7.2.1 Lagrange Multiplier Method -- 7.2.2 Penalty Function Method -- 7.3 MATLAB Built‐In Functions for Optimization -- 7.3.1 Unconstrained Optimization -- 7.3.2 Constrained Optimization -- 7.3.3 Linear Programming (LP) -- 7.3.4 Mixed Integer Linear Programming (MILP) -- 7.4 Neural Network[K‐1] -- 7.5 Adaptive Filter[Y‐3] -- 7.6 Recursive Least Square Estimation (RLSE)[Y‐3] -- Chapter 8 Matrices and Eigenvalues -- 8.1 Eigenvalues and Eigenvectors -- 8.2 Similarity Transformation and Diagonalization -- 8.3 Power Method -- 8.3.1 Scaled Power Method -- 8.3.2 Inverse Power Method -- 8.3.3 Shifted Inverse Power Method -- 8.4 Jacobi Method -- 8.5 Gram‐Schmidt Orthonormalization and QR Decomposition -- 8.6 Physical Meaning of Eigenvalues/Eigenvectors -- 8.7 Differential Equations with Eigenvectors -- 8.8 DoA Estimation with Eigenvectors[Y-3] -- Chapter 9 Partial Differential Equations -- 9.1 Elliptic PDE -- 9.2 Parabolic PDE -- 9.2.1 The Explicit Forward Euler Method -- 9.2.2 The Implicit Backward Euler Method. 9.2.3 The Crank‐Nicholson Method -- 9.2.4 Using the MATLAB function 'pdepe()' -- 9.2.5 Two‐Dimensional Parabolic PDEs -- 9.3 Hyperbolic PDES -- 9.3.1 The Explicit Central Difference Method -- 9.3.2 Two‐Dimensional Hyperbolic PDEs -- 9.4 Finite Element Method (FEM) for Solving PDE -- 9.5 GUI of MATLAB for Solving PDES - PDEtool -- 9.5.1 Basic PDEs Solvable by PDEtool -- 9.5.2 The Usage of PDEtool -- 9.5.3 Examples of Using PDEtool to Solve PDEs -- Appendix A Mean Value Theorem -- Appendix B Matrix Operations/Properties -- B.1 Addition and Subtraction -- B.2 Multiplication -- B.3 Determinant -- B.4 Eigenvalues and Eigenvectors of a Matrix1 -- B.5 Inverse Matrix -- B.6 Symmetric/Hermitian Matrix -- B.7 Orthogonal/Unitary Matrix -- B.8 Permutation Matrix -- B.9 Rank -- B.10 Row Space and Null Space -- B.11 Row Echelon Form -- B.12 Positive Definiteness -- B.13 Scalar (Dot) Product and Vector (Cross) Product -- B.14 Matrix Inversion Lemma -- Appendix C Differentiation W.R.T. A Vector -- Appendix D Laplace Transform -- Appendix E Fourier Transform -- Appendix F Useful Formulas -- Appendix G Symbolic Computation -- G.1 How to Declare Symbolic Variables and Handle Symbolic Expressions -- G.2 Calculus -- G.2.1 Symbolic Summation -- G.2.2 Limits -- G.2.3 Differentiation -- G.2.4 Integration -- G.2.5 Taylor Series Expansion -- G.3 Linear Algebra -- G.4 Solving Algebraic Equations -- G.5 Solving Differential Equations -- Appendix H Sparse Matrices -- Appendix I MATLAB -- References -- Index -- Index for MATLAB Functions -- Index for Tables -- EULA. |
| Record Nr. | UNINA-9910841170603321 |
Yang Won Y
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| Newark : , : John Wiley & Sons, Incorporated, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 | ||
| ||
Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor
| Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2010 |
| Descrizione fisica | 1 online resource (459 p.) |
| Disciplina | 518.0285 |
| Altri autori (Persone) | CharetonPeter G |
| Collana | Computational mathematics and analysis series |
| Soggetto topico | Numerical analysis - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-62417-078-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910453209303321 |
| New York, : Nova Science Publishers, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor
| Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2010 |
| Descrizione fisica | 1 online resource (459 p.) |
| Disciplina | 518.0285 |
| Altri autori (Persone) | CharetonPeter G |
| Collana | Computational mathematics and analysis series |
| Soggetto topico | Numerical analysis - Data processing |
| ISBN | 1-62417-078-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910779781203321 |
| New York, : Nova Science Publishers, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor
| Computational mathematics [[electronic resource] ] : theory, methods and applications / / Peter G. Chareton, editor |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2010 |
| Descrizione fisica | 1 online resource (459 p.) |
| Disciplina | 518.0285 |
| Altri autori (Persone) | CharetonPeter G |
| Collana | Computational mathematics and analysis series |
| Soggetto topico | Numerical analysis - Data processing |
| ISBN | 1-62417-078-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910811727303321 |
| New York, : Nova Science Publishers, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational mathematics, nanoelectronics, and astrophysics : cmna 2018, indore, india, november 1-3 / / edited by Shaibal Mukherjee, 3 others
| Computational mathematics, nanoelectronics, and astrophysics : cmna 2018, indore, india, november 1-3 / / edited by Shaibal Mukherjee, 3 others |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (202 pages) : illustrations |
| Disciplina | 700 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Nanoelectronics - Mathematics
Numerical analysis - Data processing Astrophysics - Mathematics Anàlisi numèrica Processament de dades Nanoelectrònica Astrofísica Matemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-15-9708-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466547303316 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Computational mathematics, nanoelectronics, and astrophysics : cmna 2018, indore, india, november 1-3 / / edited by Shaibal Mukherjee, 3 others
| Computational mathematics, nanoelectronics, and astrophysics : cmna 2018, indore, india, november 1-3 / / edited by Shaibal Mukherjee, 3 others |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (202 pages) : illustrations |
| Disciplina | 700 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Nanoelectronics - Mathematics
Numerical analysis - Data processing Astrophysics - Mathematics Anàlisi numèrica Processament de dades Nanoelectrònica Astrofísica Matemàtica |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 981-15-9708-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910484739203321 |
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods in engineering design and optimization / / guest editors, professor Massimiliano Vasile, Dr. Edmondo Minisci and Dr. Domenico Quagliarella
| Computational methods in engineering design and optimization / / guest editors, professor Massimiliano Vasile, Dr. Edmondo Minisci and Dr. Domenico Quagliarella |
| Pubbl/distr/stampa | Bradford, [England] : , : Emerald Insight, , 2014 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 620.00151 |
| Collana | Engineering Computations |
| Soggetto topico |
Engineering - Data processing
Engineering - Mathematical models Mathematical optimization Numerical analysis - Data processing |
| ISBN | 1-78441-354-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover; Editorial advisory board; Cogeneration design problem; Robust design of Mars entry micro-probe with evidence theory and multi-fidelity strategies; Gains tuning of a PI-Fuzzy controller by genetic algorithms; An efficient PMA-based reliability analysis technique using radial basis function; Three level hierarchical decision making model with GA |
| Record Nr. | UNINA-9910787277303321 |
| Bradford, [England] : , : Emerald Insight, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational methods in engineering design and optimization / / guest editors, professor Massimiliano Vasile, Dr. Edmondo Minisci and Dr. Domenico Quagliarella
| Computational methods in engineering design and optimization / / guest editors, professor Massimiliano Vasile, Dr. Edmondo Minisci and Dr. Domenico Quagliarella |
| Pubbl/distr/stampa | Bradford, [England] : , : Emerald Insight, , 2014 |
| Descrizione fisica | 1 online resource (97 p.) |
| Disciplina | 620.00151 |
| Collana | Engineering Computations |
| Soggetto topico |
Engineering - Data processing
Engineering - Mathematical models Mathematical optimization Numerical analysis - Data processing |
| ISBN | 1-78441-354-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover; Editorial advisory board; Cogeneration design problem; Robust design of Mars entry micro-probe with evidence theory and multi-fidelity strategies; Gains tuning of a PI-Fuzzy controller by genetic algorithms; An efficient PMA-based reliability analysis technique using radial basis function; Three level hierarchical decision making model with GA |
| Record Nr. | UNINA-9910807141903321 |
| Bradford, [England] : , : Emerald Insight, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computing for numerical methods using Visual C++ [[electronic resource] /] / Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah Abu Bakar
| Computing for numerical methods using Visual C++ [[electronic resource] /] / Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah Abu Bakar |
| Autore | Salleh Shaharuddin <1956-> |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (468 p.) |
| Disciplina |
005.133
005.2/768 |
| Altri autori (Persone) |
ZomayaAlbert Y
BakarSakhinah Abu <1982-> |
| Collana | Wiley series on parallel and distributed computing |
| Soggetto topico | Numerical analysis - Data processing |
| ISBN |
1-281-13486-4
9786611134860 0-470-19263-1 0-470-19262-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
COMPUTING FOR NUMERICAL METHODS USING VISUAL C++; TRADEMARKS; CONTENTS; Preface; Codes for Download; 1. Modeling and Simulation; 1.1 Numerical Approximation; 1.2 C++ for Numerical Modeling; 1.3 Mathematical Modeling; 1.4 Simulation and Its Visualization; 1.5 Numerical Methods; 1.6 Numerical Applications; 2. Fundamental Tools for Mathematical Computing; 2.1 C++ for High-Performance Computing; 2.2 Dynamic Memory Allocation; 2.3 Matrix Reduction Problems; 2.4 Matrix Algebra; 2.5 Algebra of Complex Numbers; 2.6 Number Sorting; 2.7 Summary; Programming Challenges; 3. Numerical Interface Designs
3.1 Microsoft Foundation Classes3.2 Graphics Device Interface; 3.3 Writing a Basic Windows Program; 3.4 Displaying Text and Graphics; 3.5 Events and Methods; 3.6 Standard Control Resources; 3.7 Menu and File I/O; 3.8 Keyboard Control; 3.9 MFC Compatibility with .Net; 3.10 Summary; 4. Curve Visualization; 4.1 Tools for Visualization; 4.2 MyParser; 4.3 Drawing Curves; 4.4 Generating Curves Using MyParser; 4.5 Summary; Programming Challenges; 5. Systems of Linear Equations; 5.1 Introduction; 5.2 Existence of Solutions; 5.3 Gaussian Elimination Techniques; 5.4 LU Factorization Methods 5.5 Iterative Techniques5.6 Visualizing the Solution: Code5; 5.7 Summary; Numerical Exercises; Programming Challenges; 6. Nonlinear Equations; 6.1 Introduction; 6.2 Existence of Solutions; 6.3 Bisection Method; 6.4 False Position Method; 6.5 Newton-Raphson Method; 6.6 Secant Method; 6.7 Fixed-Point Iteration Method; 6.8 Visual Solution: Code6; 6.9 Summary; Numerical Exercises; Programming Challenges; 7. Interpolation and Approximation; 7.1 Curve Fitting; 7.2 Lagrange Interpolation; 7.3 Newton Interpolations; 7.4 Cubic Spline; 7.5 Least-Squares Approximation; 7.6 Visual Solution: Code7 7.7 SummaryNumerical Exercises; Programming Challenges; 8. Differentiation and Integration; 8.1 Introduction; 8.2 Numerical Differentiation; 8.3 Numerical Integration; 8.4 Visual Solution: Code8; 8.5 Summary; Numerical Exercises; Programming Challenges; 9. Eigenvalues and Eigenvectors; 9.1 Eigenvalues and Their Significance; 9.2 Exact Solution and Its Existence; 9.3 Power Method; 9.4 Shifted Power Method; 9.5 QR Method; 9.6 Visual Solution: Code9; 9.7 Summary; Numerical Exercises; Programming Challenges; 10. Ordinary Differential Equations; 10.1 Introduction 10.2 Initial-Value Problem for First-Order ODE10.3 Taylor Series Method; 10.4 Runge-Kutta of Order 2 Method; 10.5 Runge-Kutta of Order 4 Method; 10.6 Predictor-Corrector Multistep Method; 10.7 System of First-Order ODEs; 10.8 Second-Order ODE; 10.9 Initial-Value Problem for Second-Order ODE; 10.10 Finite-Difference Method for Second-Order ODE; 10.11 Differentiated Boundary Conditions; 10.12 Visual Solution: Code10; 10.13 Summary; Numerical Exercises; Programming Challenges; 11. Partial Differential Equations; 11.1 Introduction; 11.2 Poisson Equation; 11.3 Laplace Equation; 11.4 Heat Equation 11.5 Wave Equation |
| Record Nr. | UNINA-9910144575103321 |
|
Salleh Shaharuddin <1956->
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| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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