Numerical methods ZTSZ894TQB
| URI | m2://res/ZTSZ894TQB |
|---|---|
| Kind | course |
| Creators | Ameeya Kumar Nayak (instructor), Sanjeev Kumar (instructor) |
| Date | 2017-07-03 |
| Scope | in |
| Ids | course 00582g326:111107105, course 00582g326:111107107 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2017-07-03 |
- m1: page, IIT Roorkee (record). nptel 111107105
- m2: page, IIT Roorkee (record). nptel 111107107
- m3: page, 2017-07-03 (record). nptel 111107105
Contents
- part 1: Week 1
- session 1: Introduction to error analysis and linear systems
- session 2: Gaussian elimination with partial pivoting
- session 3: LU decomposition
- session 4: Jacobi and Gauss Seidel methods
- session 5: Iterative methods-II
- part 2: Week 2
- session 6: Introduction to Non-linear equations and Bisection method
- session 7: Regula Falsi and Secant methods
- session 8: Newton-Raphson method
- session 9: Fixed point iteration method
- session 10: System of Nonlinear equations
- part 3: Week 3
- session 11: Introduction to Eigenvalues and Eigenvectors
- session 12: Similarity Transformations and Gershgorin Theorem
- session 13: Jacobi's Method for Computing Eigenvalues
- session 14: Power Method
- session 15: Inverse Power Method
- part 4: Week 4
- session 16: Interpolation Part I (Introduction to Interpolation)
- session 17: Interpolation part-II ( Some basic operators and their properties)
- session 18: Interpolation part-III (Newton’s Forward/ Backward difference and derivation of general error)
- session 19: Interpolation part-IV (Error in approximating a function by a polynomial using Newton’s Forward & Backward difference formula)
- session 20: Interpolation part-V (Solving problems using Newton's Forward & Backward difference formula)
- part 5: Week 5
- session 21: Interpolation part-VI (Central difference formula)
- session 22: Interpolation part-VII (Lagrange interpolation formula with examples)
- session 23: Interpolation part-VIII (Divided difference interpolation with examples)
- session 24: Interpolation part-IX (Hermite's interpolation with examples)
- session 25: Numerical differentiation part-I (Introduction to numerical differentiation by interpolation formula)
- part 6: Week 6
- session 26: Numerical differentiation part-II (Numerical differentiation based on Lagrange’s interpolation with examples)
- session 27: Numerical differentiation part-III (Numerical differentiation based on Divided difference formula with examples)
- session 28: Numerical differentiation part-IV (Maxima and minima of a tabulated function and differentiation errors)
- session 29: Numerical differentiation part-V (Differentiation based on finite difference operators)
- session 30: Numerical differentiation part-VI (Method of undetermined coefficients & Derivatives with unequal intervals)
- part 7: Week 7
- session 31: Numerical Integration part-I (Methodology of Numerical Integration & Rectangular rule )
- session 32: Numerical Integration part-II (Quadrature formula and Trapezoidal rule with associated errors)
- session 33: Numerical Integration part-III (Simpsons 1/3rd rule with associated errors)
- session 34: Numerical Integration part-IV (Composite Simpsons 1/3rd rule & Simpsons 3/8th rule with examples)
- session 35: Numerical Integration part-V (Gauss Legendre 2-point and 3-point formula with examples)
- part 8: Week 8
- session 36: Introduction to Ordinary Differential equations
- session 37: Numerical methods for ODE-1
- session 38: Numerical Methods-II
- session 39: R-K Methods for solving ODEs
- session 40: Multi-step Method for solving ODEs
Catalogue records
- nptel: 111107105 (manifestation)
- nptel: 111107107 (manifestation)
- nptel_video: 111107105 (manifestation)