An Introduction to Numerical Methods : a MATLAB Approach, Fourth Edition

"Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applic...

Full description

Saved in:
Bibliographic Details
Main Authors: Kharab, Abdelwahab, (Author), Guenther, Ronald B., (Author)
Format: eBook
Language: English
Published: Boca Raton, FL : CRC Press, 2018.
Edition: Fourth edition.
Subjects:
Mathematical physics.
Mechanics, Applied.
Mechanical engineering.
Numerical analysis.
elektronické knihy
electronic books
ISBN: 9781315107042
131510704X
9781351605922
1351605925
9781351605915
1351605917
9781351605908
1351605909
9781523120475
1523120479
9781138093072
1138093076
Physical Description: 1 online resource : text file, PDF

Cover

Table of contents

LEADER 05798cam a2200589Mi 4500
001 kn-on1034623447
003 OCoLC
005 20240717213016.0
006 m o d
007 cr cn|||||||||
008 180504s2018 flua ob 001 0 eng d
040 |a CRCPR  |b eng  |e rda  |e pn  |c CRCPR  |d OCLCO  |d OCLCF  |d EBLCP  |d YDX  |d OCLCQ  |d OCLCO  |d N$T  |d NLE  |d OCLCQ  |d UKMGB  |d TYFRS  |d UAB  |d UMR  |d KNOVL  |d CEF  |d STF  |d MERER  |d OCLCQ  |d UKAHL  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO  |d OCLCL  |d OCLCQ 
020 |a 9781315107042  |q (e-book) 
020 |a 131510704X 
020 |a 9781351605922  |q (e-book ;  |q PDF) 
020 |a 1351605925 
020 |a 9781351605915 
020 |a 1351605917 
020 |a 9781351605908 
020 |a 1351605909 
020 |a 9781523120475  |q (electronic bk.) 
020 |a 1523120479  |q (electronic bk.) 
020 |z 9781138093072 
020 |z 1138093076 
024 7 |a 10.1201/9781315107042  |2 doi 
035 |a (OCoLC)1034623447  |z (OCoLC)1047774086  |z (OCoLC)1048290162  |z (OCoLC)1049150254  |z (OCoLC)1053981315  |z (OCoLC)1064317966  |z (OCoLC)1100703872  |z (OCoLC)1124486752 
100 1 |a Kharab, Abdelwahab,  |e author. 
245 1 3 |a An Introduction to Numerical Methods :  |b a MATLAB Approach, Fourth Edition /  |c Abdelwahab Kharab, Ronald Guenther. 
250 |a Fourth edition. 
264 1 |a Boca Raton, FL :  |b CRC Press,  |c 2018. 
300 |a 1 online resource :  |b text file, PDF 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 2 |a "Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos."--Provided by publisher. 
505 0 |a Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: Introduction; 1.1 ABOUT MATLAB and MATLAB GUI (Graphical User Interface); 1.2 AN INTRODUCTION TO MATLAB; 1.2.1 Matrices and matrix computation; 1.2.2 Polynomials; 1.2.3 Output format; 1.2.4 Planar plots; 1.2.5 3-D mesh plots; 1.2.6 Function files; 1.2.7 Defining functions; 1.2.8 Relations and loops; 1.3 TAYLOR SERIES; 2: Number System and Errors; 2.1 FLOATING-POINT ARITHMETIC; 2.2 ROUND-OFF ERRORS; 2.3 TRUNCATION ERROR; 2.4 INTERVAL ARITHMETIC; 3: Roots of Equations; 3.1 THE BISECTION METHOD. 
505 8 |a 3.2 FIXED POINT ITERATION3.3 THE SECANT METHOD; 3.4 NEWTON'S METHOD; 3.5 CONVERGENCE OF THE NEWTON AND SECANT METHODS; 3.6 MULTIPLE ROOTS AND THE MODIFIED NEWTON METHOD; 3.7 NEWTON'S METHOD FOR NONLINEAR SYSTEMS; APPLIED PROBLEMS; 4: System of Linear Equations; 4.1 MATRICES AND MATRIX OPERATIONS; 4.2 NAIVE GAUSSIAN ELIMINATION; 4.3 GAUSSIAN ELIMINATION WITH SCALED PARTIAL PIVOTING; 4.4 LU DECOMPOSITION; 4.4.1 Crout's and Cholesky's methods; 4.4.2 Gaussian elimination method; 4.5 ITERATIVE METHODS; 4.5.1 Jacobi iterative method; 4.5.2 Gauss-Seidel iterative method; 4.5.3 Convergence. 
505 8 |a APPLIED PROBLEMS5: Interpolation; 5.1 POLYNOMIAL INTERPOLATION THEORY; 5.2 NEWTON'S DIVIDED-DIFFERENCE INTERPOLATING POLYNOMIAL; 5.3 THE ERROR OF THE INTERPOLATING POLYNOMIAL; 5.4 LAGRANGE INTERPOLATING POLYNOMIAL; APPLIED PROBLEMS; 6: Interpolation with Spline Functions; 6.1 PIECEWISE LINEAR INTERPOLATION; 6.2 QUADRATIC SPLINE; 6.3 NATURAL CUBIC SPLINES; APPLIED PROBLEMS; 7: The Method of Least-Squares; 7.1 LINEAR LEAST-SQUARES; 7.2 LEAST-SQUARES POLYNOMIAL; 7.3 NONLINEAR LEAST-SQUARES; 7.3.1 Exponential form; 7.3.2 Hyperbolic form; APPLIED PROBLEMS; 8: Numerical Optimization. 
505 8 |a 8.1 ANALYSIS OF SINGLE-VARIABLE FUNCTIONS8.2 LINE SEARCH METHODS; 8.2.1 Newton's method; 8.2.2 Golden section search; 8.2.3 Fibonacci Search; 8.2.4 Parabolic Interpolation; 8.3 MINIMIZATION USING DERIVATIVES; 8.3.1 Newton's method; 8.3.2 Newton's method; APPLIED PROBLEMS; 9: Numerical Differentiation; 9.1 NUMERICAL DIFFERENTIATION; 9.2 RICHARDSON'S FORMULA; APPLIED PROBLEMS; 10: Numerical Integration; 10.1 TRANPEZOIDAL RULE; 10.2 SIMPSON'S RULE; 10.3 ROMBERG ALGORITHM; 10.4 GAUSSIAN QUADRATURE; APPLED PROBLEMS; 11: Numerical Methods for Linear Integral Equations; 11.1 INTRODUCTION. 
505 8 |a 11.2 QUADRATURE RULES11.2.1 Trapezoidal rule; 11.2.2 The Gauss-Nyström method; 11.3 THE SUCCESSIVE APPROXIMATION METHOD; 11.4 SCHMIDT's METHOD; 11.5 VOLTERRA-TYPE INTEGRAL EQUATIONS; 11.5.1 Euler's method; 11.5.2 Heun's method; APPLED PROBLEMS; 12: Numerical Methods for Differential Equations; 12.1 EULER'S METHOD; 12.2 ERROR ANALYSIS; 12.3 HIGHER-ORDER TAYLOR SERIES METHODS; 12.4 RUNGE-KUTTA METHODS; 12.5 MULTISTEP METHODS; 12.6 ADAMS-BASHFORTH METHODS; 12.7 PREDICTOR-CORRECTOR METHODS; 12.8 ADAMS-MOULTION; 12.9 NUMERICAL STABILITY. 
504 |a Includes bibliographical references and index. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Mathematical physics. 
650 0 |a Mechanics, Applied. 
650 0 |a Mechanical engineering. 
650 0 |a Numerical analysis. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Guenther, Ronald B.,  |e author. 
776 0 8 |i Print version:  |z 9781351605922  |z 9781351605915 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpINMAMAT1/introduction-to-numerical?kpromoter=marc  |y Full text 

Similar Items