**MA6459 Important Questions NUMERICAL METHODS for Regulation 2013 Anna University**

MA6459 Important Questions NUMERICAL METHODS for Regulation 2013 Anna University

**Sample for Ma6459 Important Questions:**

1. State the condition for convergence of Newton-Raphson method.

2. State the order of convergence of (i) the iteration formula and (ii) the Newton-Raphson.

3. When does Gauss elimination method fail?

4. Sate a sufficient condition for Gauss-Seidel method to converge.

5. How will you find the smallest eigen value of a square matrix, by power method?

6. What are the conditions under which the power method can be applied?

7. When does the power method work satisfactorily?

8. State Fixed point theorem.

9. State Newton’s formula for interpolation.

10. State Newton’s divided difference interpolation formula .

11. State Lagrange’s interpolation formula for unequal intervals.

12. What do you mean by inverse interpolation?

13. write down the formula for the cubic spline polynomial y(x).

14. State any two properties of divided differences.

15. State any two properties of cubic spline function.

16. What do you mean by numerical integration?

17. State Simpson’s 1/3 and 3/8 formulas for numerical integration.

18. In numerical integration, what should be the number of intervals to apply Simpson’s one-third rule and Simpson’s three-eighth rule?

19.State Trapezoidal rule to evaluate a double integral.

20. State Simpson’s 1/3 rule to evaluate a double integral.

21. What is the difference between an initial value problem and a boundary value problem?

22. What do you mean by truncation error and what is the order of truncation error in Taylor’s series method of nth order?

23. Compare Taylor series and Runge-Kutta methods.

24. What do we mean by single step methods and multistep methods?

25. Why the predictor-corrector methods are called so?

26. Compare Runge-Kutta method and predictor corrector methods

27. Write down the Milne’s predictor-corrector formula.

Subject Name | NUMERICAL METHODS |

Subject Code | MA6459 |

Regulation | 2013 |

File detail | PDF of Important Questions |

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