Numerical Method And Programming (WBUT)

Of the numerous problems that evolve in the course of various experiments and researches in science and technology, a majority of them can be solved completely by the standard methods available in mathematics. Moreover, approximate solutions for them can be devised by special techniques using computers. These methods constitute the subject matter of Numerical Methods and Programming. Just as a large portion of numerical analysis concerns development of various methods, a sizeable portion deals with an analysis of these methods with respect to convergence, their efficiency and effectiveness. In this text, an emphasis has been given on discussions of the simplest methods for solving problems of classical and linear algebras and calculus including definite integrals and differential equations. The analysis of the methods has been done only scantily just to trigger the curiosity of the students. No stone has been left unturned to make the text reader-friendly. At the end, computer programs of the methods have been appended to facilitate the students. The credit for this part goes entirely to my colleague, Prof. Aditya Ray of the Institute of Engineering and Management, Kolkata. We are truly thankful to him for this magnanimity.

1. APPROXIMATION AND ERRORS

2. FINITE DIFFERENCES

3. INTERPOLATION

4. NUMERICAL DIFFERENTIATION

5.  NUMERICAL INTEGRATION

6. SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS

7. SOLUTION OF EQUATIONS

8. SYSTEMS OF LINEAR EQUATIONS

9. MATRICES AND EIGEN VALUES

10. CURVE FITTING

Appendix 1: Approximation of Functions

Appendix 2: Flow Chart and Program

Appendix 3: Multiple Choice Questions

University Question Papers with Answers