Browse Mathematics > Probabilities. Mathematical Statistics > Numerical Analysis eBooks to read online or download in EPUB or PDF format on your mobile. Numerical Analysis. Second Edition. Translated by R. Bartels, W. Gautschi, and C . Witzgall. With 35 Illustrations. Springer-Verlag. New York Berlin Heidelberg. Looking for books on Numerical Analysis? Check our section of free e-books and guides on Numerical Analysis now! This page contains list of freely available.
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The derivation of Lagrange's interpolation polynomial is explained, together with curve fitting and the method of least squares, orthogonal polynomials, and integration methods.
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In chapter 3, considerable attention is paid to the construction of finite difference schemes and their global and local truncation errors. Chapter 4 is designed for linear elliptic equations. Different variants of finite difference schemes are considered.
The most interesting of these are finite difference schemes in canonical form.
For such schemes the discrete maximum principle has been stated and used to estimate the global error of the method. Helmholz equation is solved by Mathematica module solveHemholz. Chapter 5 contains analysis of convergence of the finite difference scheme with weight for linear parabolic equations. In chapter 6, the finite difference scheme with weight is applied to wave equation.
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Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin L.
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Chapter 1 [PDF]. There are more than frequently challenging exercises that will interest both beginning students and readers with strong mathematical backgrounds. This is a very interesting book that can be used not only as a textbook but also as a reference.
Ridgway Scott. Subject Areas. Mathematics - Mathematical Analysis Mathematics - Applied.