Schilling, Robert J. <br/><br/>
Applied numerical methods for engineers using MATLAB and C /  
Robert J. Schilling, Sandra L. Harris. 
 - New Delhi :  Cengage,  2007 
 - xx, 715 p.   ill. ;  25 cm. + 
<br/><br/> Includes bibliographical references (p. 530-532) and index. 
<br/><br/>1.	Numerical computation motivation and objectives ; <br/>1.	Number representation ; <br/>2.	Machine precision ; <br/>3.	Round-off error ; <br/>4.	Truncation error ; <br/>5.	Random number generation ; <br/>6.	Numerical software ; <br/>7.	Applications ; <br/>8.	Chapter summary ; <br/>9.	Problems 2. Linear algebraic systems motivation and objectives ; <br/>10.	Gauss-jordan elimination ; <br/>11.	Gaussian elimination ; <br/>12.	Lu decomposition ; <br/>13.	Ill-conditioned systems ; <br/>14.	Iterative methods ; <br/>15.	Applications ; <br/>16.	Chapter summary ; <br/>17.	Problems 3. Eigenvalues and eigenvectors motivation and objectives ; <br/>18.	The characteristic polynomial ;<br/>19.	Power methods ; <br/>20.	Jacobi''s method ; <br/>21.	Householder transformation ; <br/>22.	Qr method ; <br/>23.	Danilevsky''s method ; <br/>24.	Polynomial roots ; <br/>25.	Applications ; <br/>26.	Chapter summary ;<br/>27.	problems 4. Curve fitting motivation and objectives ;<br/>28.	Interpolation ; <br/>29.	Newton''s difference formula ; <br/>30.	Cubic splines ; <br/>31.	Least square ; <br/>32.	Two-dimensional interpolation ; <br/>33.	Applications ; <br/>34.	Chapter summary ; <br/>35.	Problems 5. Root finding motivation and objectives ; <br/>36.	Bracketing methods ; <br/>37.	Contraction mapping method ; <br/>38.	Secant method ; <br/>39.	Muller''s method ; <br/>40.	Newton''s method ; <br/>41.	Polynomial roots ; <br/>42.	Nonlinear systems of equations ; <br/>43.	Applications ; <br/>44.	Chapter summary ; <br/>45.	Problems 6. Optimization motivation and objectives ; <br/>46.	Local and global minima ; <br/>47.	Line searches ; <br/>48.	Steepest descent method ; <br/>49.	Conjugate-gradient method ; <br/>50.	Quasi-newton methods ; <br/>51.	Penalty functions ; <br/>52.	Simulated annealing ; <br/>53.	Applications ; <br/>54.	Chapter summary ; <br/>55.	Problems 7. Differentiation and integration motivation and objectives ; <br/>56.	Numerical differentiation ; <br/>57.	Noise-corrupted data ; <br/>58.	Newton-cotes integration formulas ; <br/>59.	Romberg integration ; <br/>60.	Gauss quadrature ; <br/>61.	Improper integrals ; <br/>62.	Multiple integrals ; <br/>63.	Applications ; <br/>64.	Chapter summary ; <br/>65.	Problems 8. Ordinary differential equations motivation and objectives ; <br/>66.	Euler''s method ; <br/>67.	Runge-kutta methods ; <br/>68.	Step size control ; <br/>69.	Multi-step methods ; <br/>70.	Bulirsch-stoer extrapolation methods ; <br/>71.	Stiff differential equations ; <br/>72.	Boundary <br/>73.	Value problems ; <br/>74.	Applications ;<br/>75.	Summary ; <br/>76.	Problems 9. Partial differential equations motivation and objectives ; <br/>77.	Elliptic equations ; <br/>78.	One-dimensional parabolic equations ; <br/>79.	Two-dimensional parabolic equations ; <br/>80.	One-dimensional hyperbolic equations ; <br/>81.	Two-dimensional hyperbolic equations ; <br/>82.	Applications ; <br/>83.	Chapter summary ; <br/>84.	Problems 10. Digital signal processing motivation and objectives ; <br/>85.	Fourier transform ; <br/>86.	Fast fourier transform (fft) ; <br/>87.	Correlation ; <br/>88.	Convolution digital filters ; <br/>89.	Two-dimensional fft ; <br/>90.	System identification ; <br/>91.	Applications ; <br/>92.	Chapter summary ; <br/>93.	Problems ; <br/>94.	References and further reading ; <br/>95.	Appendix 1: nlib using matlab? ; <br/>96.	A numerical toolbox: nlib ; <br/>97.	Main-program support ; <br/>98.	Linear algebraic systems ; <br/>99.	Eigenvalues and eigenvectors ; <br/>100.	Curve fitting ; <br/>101.	Root finding ; <br/>102.	Optimization ; <br/>103.	Differentiation and integration ; <br/>104.	Ordinary differential equations ; <br/>105.	Partial differential equations ; <br/>106.	Digital signal processing ; <br/>107.	Appendix 2: nlib using c ; <br/>108.	A numerical library: nlib ; <br/>109.	Nlib data types ; <br/>110.	Nlib core: nlib.c ; <br/>111.	Tabular display: show.c ; <br/>112.	Graphical display: draw.c ; <br/>113.	Linear algebraic systems: linear.c ; <br/>114.	Eigenvalues and eigenvectors: eigen.c ; <br/>115.	Curve fitting: curves.c ; <br/>116.	Root finding: roots.c ; <br/>117.	Optimization: optim.c ; <br/>118.	Differentiation and integration: integ.c ; <br/>119.	Ordinary differential equations: ode.c ; <br/>120.	Partial differential equations: pde.c ;<br/>121.	Digital signal processing: dsp.c ; <br/>122.	Appendix 3: vectors and matrices ; <br/>123.	Vector and matrix notation ; <br/>124.	Basic operations ; <br/>125.	Inverses ; <br/>126.	Eigenvalues and eigenvectors ; <br/>127.	Vector norms ; <br/>128.	Appendix 4: answers to selected problems ; index<br/> 
<br/><br/><label>ISBN: </label>9788131504000 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Engineering mathematics--Data processing.<br/>C (Computer program language)
<br/><br/><label>Dewey Class. No.: </label>620.00151  / S3346