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Maulana Abul Kalam Azad University of Technology West Bengal

R.S. Salaria Computer Oriented Numerical Methods



Introductory Methods of Numerical Analysis Introductory Methods of Numerical Analysis

Preface xiii. 1. Errors in Numerical Calculations. 1–21. 1.1 Introduction 1. 1.1.1 Computer and Numerical Software 3. 1.1.2 Computer Languages 3.



REVISED CODE EXISTING CODE NAME OF THE PAPER REVISED

Iteration Method : Bisection Method ; Secant Method ; Regula-Falsi Method;. Newton Introductory Numerical Analysis by Dutta & Jana. 4. Numerical Methods ...



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Introductory Methods of Numerical Analysis S.S.Sastry



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Numerical Analysis and. Computational Procedures. S.A.Mollah



numerical-methods.pdf numerical-methods.pdf

What follows were my lecture notes for Math 3311: Introduction to Numerical Meth- ods taught at the Hong Kong University of Science and Technology. Math 



Maulana Abul Kalam Azad University of Technology West Bengal

Dutta & Jana: Introductory Numerical Analysis. 4. J.B.Scarborough: Numerical Mathematical Analysis. 5. Jain Iyengar



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F. B. Hilderbrand: Introduction to Numerical Analysis. 4. N. Datta and R.N. Jana An Introduction to Numerical Analysis. 5. S. A. Mollah: Numerical Analysis 



Numerical Analysis (Second Edition)

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An introduction to numerical methods and analysis / James F. Epperson Mathematical Reviews. — Second edition. pages cm. Includes bibliographical references 



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3 Dutta & Jana: Introductory Numerical Analysis. 4 J.B.Scarborough: Numerical Mathematical Analysis. 5 Jain Iyengar



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Approximation in numerical computation: Approximation of numbers Types of errors Calculation of errors



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[PDF] HALDIA INSTITUTE OF TECHNOLOGY LECTURE / LESSON PLAN

1 fév 2016 · Approximation in numerical computation: 1 Dutta Jana: Introductory Numerical Analysis 2 Balagurusamy: Numerical Methods Scitech



  • What is the introduction of numerical analysis?

    1. General Introduction. Numerical analysis is the area of mathematics and computer science that creates, analyzes, and implements algorithms for solving nu- merically the problems of continuous mathematics.
  • Who is the father of numerical analysis?

    The origins of modern numerical analysis are often linked to a 1947 paper by John von Neumann and Herman Goldstine, but others consider modern numerical analysis to go back to work by E. T. Whittaker in 1912.
  • What is the theorem of numerical analysis?

    The Fundamental Theorem of Numerical Analysis (FTNA) states that for a numerical method, consistency plus stability implies convergence. These terms are defined, and the statement is proved, per context. As an abstract statement, it seems to be a principle rather than a theorem.
  • Numerical methods are techniques that are used to approximate Mathematical procedures. We need approximations because we either cannot solve the procedure analytically or because the analytical method is intractable (an example is solving a set of a thousand simultaneous linear equations for a thousand unknowns).

HALDIA INSTITUTE OF TECHNOLOGY

LECTURE / LESSON PLAN

Department: CE II Semester: 4th Semester

Session: 2015-2016 Paper Code: M(CS)-401

Actual Hour(s): 30 Allotted Hour(s): 35

Name of the Teacher: Dr. Mihir Baran Bera

Sl. No. Date Topics(As per University

Syllabus

Hours Remarks/Books

Approximation in numerical computation:

1. Dutta & Jana: Introductory

Numerical Analysis.

2. Balagurusamy:

Numerical

Methods, Scitech.

3. Numerical Analysis,

S.N. Mollah

1. 18.01.2016 Truncation, inherent, and rounding

errors 1L

2. 20.01.2016 Significant figure&Fixed and

floating-point arithmetic, 1L

Interpolation:

3. 21.01.2016 Different types of operators: forward

difference & backward difference operator, shift operator. central difference operator, average operator & related problems 1L

4. 01.02.2016 central difference operator, average

operator & related problems. 1L

5. 02.02.2016

Formula, & Related Problem

1L

6. 04.02.2016

Formula, & Related Problem

1L

7. 08.02.2016

Related Problem.

1L

8. 15.02.2016 Errors of all the methds 1L

9. 18.02.2016 Divided Difference Formula &

Difference Formula

1L

10. 22.02.2016

Divided Difference Formula

1L

11. 24.02.2016 More problem related to above

interpolation formula 1L

Numerical Integration:

12. 25.02.2016 Trapezoidal formula (composite). 1L

13. 29.02.2016 1L

14. 30.02.2016 Newton-

integration. Derivation of

Trapezoidal &

formula from it. 1L

15. 02.03.16 Difference betweenTrapezoidal &

example 1L Numerical Solution of System of Linear Equations :

16. 03.03.16 Gauss elimination method 1L

17. 07.03.16 Problem related with G. E. method 1L

18. 08.03.16 Matrix Inversion method &problem

related with the method 1L

19. 14.03.16 LU Factorization Method 1L

20. 16.03.16 Problem related with LU

Factorization method

1L

21. 17.03.16 Gauss-Seidel iterative method 1L

22. 18.03.16 Related problems of all the methods 1L

Numerical solution of Algebraic equation:

23. 28.03.16 Bisection method and problems 1L

24. 30.03.16 Regula-Falsi method and problems 1L

25. 31.03.16 Newton-Raphson method and

problems 1L

26. 04.04.16 Geometrcal Interpretation of all the

methods and problems 1L

27. 05.04.16 Related problems of all the methods

and problems 1L Numerical solution of ordinary differential equation:

28. 06.04.16 and problems 1L

29. 07.04.16

problems 1L

30. 11.04.16 Runge-Kutta methods and problems 1L

31. 18.04.16 Predictor-Corrector

Methods and problems

1L

32. 20.04.16 Finite Difference method and

problems 1L

33. 21.04.16 Problem related with all the methods 1L

Total 33

Sl. No. Date Topics(Beyond Syllabus) Hours

1. 25.04.16 Idea of Gauss Jordan method for

numerical solution of linear equations & related problems. 1L

Numerical Analysis,

S.N. Mollah

2. 28.04.16 Idea of Gauss Jacobi method for

numerical solution of linear equations & related problems. 1L

Grand Total 35

(Sig. of Faculty Member)quotesdbs_dbs14.pdfusesText_20
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