Applied numerical analysis using MATLAB / (Record no. 3178)
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
|---|---|
| fixed length control field | 080328s2008 njua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2007281072 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0132397285 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780132397285 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Sirsi) u418 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-CaNU |
| Transcribing agency | EG-CaNU |
| Modifying agency | EG-CaNU |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | ncode |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fausett, Laurene V. |
| 9 (RLIN) | 8278 |
| 245 10 - TITLE STATEMENT | |
| Title | Applied numerical analysis using MATLAB / |
| Statement of responsibility, etc. | Laurene V. Fausett. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Upper Saddle River, NJ : |
| Name of publisher, distributor, etc. | Pearson Prentice Hall, |
| Date of publication, distribution, etc. | c2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 673 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 643-[652]) and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Prefacep. xi Foundationsp. 1 Introductory Examplesp. 4 Nonlinear Equationsp. 4 Linear Systemsp. 6 Numerical Integrationp. 8 Useful Backgroundp. 10 Results from Calculusp. 10 Results from Linear Algebrap. 11 A Little Information about Computersp. 13 Some Basic Issuesp. 16 Errorp. 16 Convergencep. 22 Getting Better Resultsp. 26 Using MATLABp. 31 Command Window Computationsp. 31 M-Filesp. 35 Programming in MATLABp. 37 Matrix Multiplicationp. 39 Chapter Wrap-Upp. 41 Functions of One Variablep. 47 Bisection Methodp. 50 Secant-Type Methodsp. 54 Regula Falsip. 55 Secant Methodp. 58 Analysisp. 61 Newton's Methodp. 64 Muller's Methodp. 71 Minimizationp. 76 Golden-Section Searchp. 76 Brent's Methodp. 79 Beyond the Basicsp. 80 Using MATLAB's Functionsp. 80 Laguerre's Methodp. 82 Zeros of a Nonlinear Functionp. 85 Chapter Wrap-Upp. 88 Solving Linear Systems: Direct Methodsp. 95 Gaussian Eliminationp. 98 Basic Methodp. 98 Row Pivotingp. 107 Gauss-Jordanp. 112 Inverse of a Matrixp. 113 Tridiagonal Systemsp. 114 Further Topicsp. 119 MATLAB's Methodsp. 119 Condition of a Matrixp. 121 Iterative Refinementp. 123 Chapter Wrap-Upp. 125 LU and QR Factorizationp. 135 LU Factorizationp. 138 Using Gaussian Eliminationp. 138 Direct LU Factorizationp. 146 Applicationsp. 150 Matrix Transformationsp. 154 Householder Transformationp. 155 Givens Rotationsp. 162 QR Factorizationp. 164 Using Householder Transformationsp. 164 Using Givens Rotationsp. 166 Beyond the Basicsp. 168 LU Factorization with Implicit Row Pivotingp. 168 Efficient Conversion to Hessenberg Formp. 170 Using MATLAB's Functionsp. 171 Chapter Wrap-Upp. 172 Eigenvalues and Eigenvectorsp. 179 Power Methodp. 182 Basic Power Methodp. 183 Rayleigh Quotientp. 186 Shifted Power Methodp. 188 Accelerating Convergencep. 189 Inverse Power Methodp. 190 General Inverse Power Methodp. 192 Convergencep. 193 QR Methodp. 194 Basic QR Methodp. 194 Better QR Methodp. 196 Finding Eigenvectorsp. 198 Accelerating Convergencep. 199 Further Topicsp. 202 Singular Value Decompositionp. 202 MATLAB's Methodsp. 203 Chapter Wrap-Upp. 204 Solving Linear Systems: Iterative Methodsp. 213 Jacobi Methodp. 217 Gauss-Seidel Methodp. 224 Successive Over-Relaxationp. 228 Beyond the Basicsp. 232 MATLAB's Built-in Functionsp. 232 Conjugate Gradient Methodsp. 234 GMRESp. 238 Simplex Methodp. 240 Chapter Wrap-Upp. 243 Nonlinear Functions of Several Variablesp. 251 Nonlinear Systemsp. 254 Newton's Methodp. 254 Secant Methodsp. 260 Fixed-Point Iterationp. 262 Minimizationp. 264 Descent Methodsp. 264 Quasi-Newton Methodsp. 266 Further Topicsp. 268 Levenberg-Marquardt Methodp. 268 Nelder-Mead Simplex Searchp. 269 Chapter Wrap-Upp. 270 Interpolationp. 275 Polynomial Interpolationp. 278 Lagrange Formp. 278 Newton Formp. 284 Difficultiesp. 290 Hermite Interpolationp. 294 Piecewise Polynomial Interpolationp. 299 Piecewise Linear Interpolationp. 300 Piecewise Quadratic Interpolationp. 301 Piecewise Cubic Hermite Interpolationp. 304 Cubic Spline Interpolationp. 305 Beyond the Basicsp. 312 Rational-Function Interpolationp. 312 Using MATLAB's Functionsp. 316 Chapter Wrap-Upp. 323 Approximationp. 333 Least-Squares Approximationp. 336 Approximation by a Straight Linep. 336 Approximation by a Parabolap. 342 General Least-Squares Approximationp. 346 Approximation for Other Functional Formsp. 348 Continuous Least-Squares Approximationp. 350 Approximation Using Powers of xp. 350 Orthogonal Polynomialsp. 352 Legendre Polynomialsp. 354 Chebyshev Polynomialsp. 356 Function Approximation at a Pointp. 358 Pade Approximationp. 358 Taylor Approximationp. 361 Further Topicsp. 362 Bezier Curvesp. 362 Using MATLAB's Functionsp. 364 Chapter Wrap-Upp. 366 Fourier Methodsp. 373 Fourier Approximation and Interpolationp. 376 Derivationp. 381 Data on Other Intervalsp. 384 Radix-2 Fourier Transformsp. 386 Discrete Fourier Transformp. 386 Fast Fourier Transformp. 387 Matrix Form of FFTp. 388 Algebraic Form of FFTp. 389 Mixed-Radix FFTp. 392 Using MATLAB's Functionsp. 396 Chapter Wrap-Upp. 400 Numerical Differentiation and Integrationp. 405 Differentiationp. 408 First Derivativesp. 408 Higher Derivativesp. 412 Partial Derivativesp. 413 Richardson Extrapolationp. 414 Numerical Integrationp. 416 Trapezoid Rulep. 417 Simpson's Rulep. 420 Newton-Cotes Open Formulasp. 426 Extrapolation Methodsp. 428 Quadraturep. 431 Gaussian Quadraturep. 431 Other Gauss-Type Quadraturesp. 435 MATLAB's Methodsp. 437 Differentiationp. 437 Integrationp. 437 Chapter Wrap-Upp. 438 Ordinary Differential Equations: Fundamentalsp. 445 Euler's Methodp. 447 Geometric Introductionp. 447 Approximating the Derivativep. 448 Approximating the Integralp. 449 Using Taylor Seriesp. 451 Runge-Kutta Methodsp. 452 Second-Order Runge-Kutta Methodsp. 452 Third-Order Runge-Kutta Methodsp. 457 Classic Runge-Kutta Methodp. 459 Fourth-Order Runge-Kutta Methodsp. 462 Fifth-Order Runge-Kutta Methodsp. 464 Runge-Kutta-Fehlberg Methodsp. 465 Multistep Methodsp. 474 Adams-Bashforth Methodsp. 476 Adams-Moulton Methodsp. 479 Adams Predictor-Corrector Methodsp. 480 Other Predictor-Corrector Methodsp. 485 Further Topicsp. 487 MATLAB's Methodsp. 487 Consistency and Convergencep. 488 Chapter Wrap-Upp. 490 ODE: Systems, Stiffness, Stabilityp. 499 Systemsp. 502 Systems of Two ODEp. 504 Euler's Method for Systemsp. 510 Runge-Kutta Methods for Systemsp. 512 Multistep Methods for Systemsp. 516 Second-Order ODEp. 522 Stiff ODEp. 526 BDF Methodsp. 527 Implicit Runge-Kutta Methodsp. 529 Stabilityp. 530 A-Stable and Stiffly Stable Methodsp. 532 Stability in the Limitp. 533 Further Topicsp. 536 MATLAB's Methods for Stiff ODEp. 536 Extrapolation Methodsp. 537 Rosenbrock Methodsp. 539 Multivalue Methodsp. 539 Chapter Wrap-Upp. 552 ODE: Boundary-Value Problemsp. 561 Shooting Methodp. 565 Linear ODEp. 565 Nonlinear ODEp. 570 Finite-Difference Methodp. 576 Linear ODEp. 576 Nonlinear ODEp. 580 Function Space Methodsp. 582 Collocationp. 582 Rayleigh-Ritzp. 586 Chapter Wrap-Upp. 588 Partial Differential Equationsp. 593 Heat Equation: Parabolic PDEp. 598 Explicit Methodp. 599 Implicit Methodp. 604 Crank-Nicolson Methodp. 608 Insulated Boundaryp. 611 Wave Equation: Hyperbolic PDEp. 612 Explicit Methodp. 614 Implicit Methodp. 616 Poisson Equation: Elliptic PDEp. 618 Finite-Element Method for Elliptic PDEp. 622 Defining the Subregionsp. 623 Defining the Basis Functionsp. 624 Computing the Coefficientsp. 626 Using MATLABp. 629 Chapter Wrap-Upp. 634 Bibliographyp. 643 Answersp. 653 Indexp. 667 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Uses introductory problems from particular applications that are easy to understand and show the reader that there is a need for a particular mathematical technique. Numerical techniques are explained from basics with an emphasis on why they work. Discusses the contexts and reasons for selection of each problem and solution method. Worked-out examples are very realistic and not contrived. |
| 596 ## - | |
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| 630 00 - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | MATLAB. |
| 9 (RLIN) | 122 |
| 630 00 - SUBJECT ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | CIT. |
| 9 (RLIN) | 14 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Numerical analysis |
| General subdivision | Data processing. |
| 9 (RLIN) | 453 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
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| Dewey Decimal Classification | Main library | Main library | General Stacks | 01/26/2020 | PURCHASE | 518 / FA.A 2008 | 000540 | 11/24/2019 | 1 | 11/24/2019 | Books |