What's new
Community Talk Forum - When Social Talk is Social
Welcome to the SPJ Community a Social Media Talk Forum

Register Now, it's Free! You are currently viewing our boards as a guest which gives you limited access to view most discussions and access our other features. By joining our free community you will have access to post topics, communicate privately with other members (PM), respond to polls, upload content and access many other special features. Registration is fast, simple and absolutely free so please, Join Our Community Today!

If you have any problems with the registration process or your account login, please contact contact us.

We offer to our community member a place to vent too. And not worry about Corporate America Violating our privacy. But of course be RESPECTFUL !!! , If there's anything we missed, Please utilize the posting features so we can make things happen So why don't you join US !! And Benefit To What We Can Offer. Then register with our Social Media Talk Forum - When Social Talk is Social, and edit your profile and include A General Info of yourself and start posting. GOOD LUCK !!

An Introduction to Numerical Analysis


An Introduction to Numerical Analysis by Endre Süli and David Mayers - 2003 Oxford Computing laboratory
Requirements: PDF Reader, 9561 KB / 706 KB
Overview: This book has emphasis on analysis of numerical methods, including error bound, consistency, convergence, stability. In most cases, a numerical method is introduced, followed by analysis and proofs. For engineering students, who like to know more algorithms and a little bit of analysis, this book may not be the best choice. Although this book is mainly about analysis, it does include clear presentation of many numerical methods, including topics in nonlinear equations solving, numerical linear algebra, polynomial interpolation and integration, numerical solution of ODE. In numerical linear algebra, it includes LU factorization with pivoting, Gerschgorin's theorem of eigenvalue positions, Calculating eigenvalues by Jacobi plane rotation, Householder tridiagonalization, Sturm sequence property for tridiagonal symmetric matrix. Interpolation includes Lagrange polynomial, Hermite polynomial, Newton-Cotes integration, Improved Trapezium integration through Romberg method, Oscillation theorem for minimax approximation, Chebyshev polynomial, least square polynomial approximation to a known function, Gauss quadrature using Hermite polynomial, Piecewise linear/cubic splines. Ordinary ddifferential equations section includes initial value problems with one-step and multiple steps, boundary value problems using finite difference and shooting method, Galerkin finite element method. The book gives basic definitions including norms, matrix condition numbers, real symmetric positive definite matrix, Rayleigh quotient, orthogonal polynomials, stiffness, Sobolev space. One place that is not clear is about QR algorithm for tridiagonal matrix.

Download Instructions: