Numerical Analysis
- Round off errors, Floating point arithmetic, Convergence, Errors
- Error analysis for Iterative Methods, Algorithms and Convergence
- Numerical solution of Nonlinear Equations Bisection method, Newton's method
- Convergence Analysis for Newton's Method
- Numerical solution of Nonlinear Equations fixed - point iteration, method
- Least square approximation
- Numerical differentiation
- Richardsons Extrapolation
- Numerical integration Trapezoidal rule, etc
- Numerical integration Gaussian quadrature and Euler, Romberg Integration Complexity
- Linear Systems of Equations LU, LL^T Decomposition for Positive Definite Matrices
- Pivoting Strategies
- Interpolation, Lagrange Polynomial, Cubic Spline Interpolation, Divided Differences
- Differential Equations, Eulers Method, Taylor Method
- Differential Equations, Runge-Kutta Methods
- Newtons Method for Solving Nonlinear Systems