Numerical Methods for Scientists and Engineers ebook by Richard Hamming an introductory chapter on numerical methods and their relevance to computing, . ETH Lecture L Numerical Methods for CSE. Numerical Methods for. Computational Science and Engineering. Prof. R. Hiptmair. Editorial Reviews. About the Author. Richard W. Hamming: The Computer Icon Richard W. Kindle Store · Kindle eBooks · Science & Math . In an introductory chapter on numerical methods and their relevance to computing, well-known.
|Language:||English, Spanish, French|
|Genre:||Science & Research|
|ePub File Size:||24.83 MB|
|PDF File Size:||15.76 MB|
|Distribution:||Free* [*Register to download]|
Numerical methods for scientific and engineering computation. by M K Jain; S R K Iyengar; Rajendra K Jain. eBook: Document. English. New York, N.Y. Numerical Methods For Scientific And Engineering Computation. Front Cover · M.K. Jain. New Age International, - pages. 7 Reviews. Numerical Methods for Scientific and Engineering Computation. Front Cover. Mahinder Kumar Jain, S. R. K. Iyengar, Rajendra K. Jain. Wiley, - Analyse.
Book Series Overview Tensor-structured numerical methods in scientific computing provide a powerful tool for efficient computations in higher dimensions Various exercises are included in the book Applications in Engineering and Quantum Many Body Physics Aims and Scope The most difficult computational problems nowadays are those of higher dimensions. This research monograph offers an introduction to tensor numerical methods designed for the solution of the multidimensional problems in scientific computing. These methods are based on the rank-structured approximation of multivariate functions and operators by using the appropriate tensor formats. The old and new rank-structured tensor formats are investigated. We discuss in detail the novel quantized tensor approximation method QTT which provides function-operator calculus in higher dimensions in logarithmic complexity rendering super-fast convolution, FFT and wavelet transforms.
Linear multistep methods and explicit Runge-Kutta methods are presented with solution of practical examples in chapter 2. Also, in chapter 2, the boundary value problem for he secand order of a system of ordinary differential equations is solved by an optimal algorithm with use of the included Mathematica module solveBVP. Throughout the chapters 3, 4 and 5, the discrete maximum principle is given and applied to prove uniform convergence of finite difference schemes.
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. For the present case, the Solver obtains the correct solution: P Thus, the successful outcome of the previous example is not guaranteed.
Despite this, we have found Solver useful enough to make it a feasible option for quickly obtaining roots in a wide range of engineering applications.
It is superb at manipulating and locating the roots of polynomials. The fzero function is designed to locate one root of a single function. A simplified representation of its syntax is fzero f,x0,options where f is the function you are analyzing, x0 is the initial guess, and options are the optimization parameters these are changed using the function optimset.
If options are omitted, default values are employed. Nonlinear Algebraic Equations Antia, H. Optimisation Antia, H.
Statistical Inferences Antia, H. Functional Approximations Antia, H. Algebraic Eigenvalue Problem Antia, H. Ordinary Differential Equations Antia, H.
Integral Equations Antia, H. Partial Differential Equations Antia, H. Show next xx.