Numerical Methods
Solution of equation and eigen value problems
Interpolation and Approximation
Numerical Differentiation And Integration
Initial Value Problem for Ordinary Differential Equations
Boundry value Problems in Ordinary Differential Equation and Initial and Boundry value problem in partial differential Equation
- Solution of algebraic and transcendental equations
- Methods of solving roots of polynomial equations
- Initial Approximation for an Iterative Procedure
- Method of False Position
- Newton-Raphson Method
- General Iteration Method
- Convergence of the Iteration Methods
- Linear system of algebraic equations
- Direct method for solving linear system
- Guass elimination method
- guass jordan method
- Iterative Methods
- Gauss-Jacobi Iteration Method
- Gauss-Seidel Iteration Method
- Eigen value problems
- Power method
- Interpolation
- Lagrange Interpolation
- Linear Interpolation
- Quadratic interpolation
- Error of interpolation
- Divided differences
- Newtons Divided Difference Interpolation
- Interpolation With Evenly Spaced Points
- Relations between differences and derivatives
- Newton's forward difference formula
- Newton's Backward Difference Interpolation Formula
- Spline function
- Cubic Interpolation
- Numerical Differentiation
- Derivatives Using Newton’s Forward Difference Formula
- Derivatives Using Newton's Backward difference Formula
- Derivatives using Divided Difference Formula
- Numerical Integration and Integration Rules Based on Uniform Mesh Spacing
- Trapezium Rule
- Error in Trapezium Rule
- Composite trapezium rule
- Simpson’s 1/3 Rule
- Error in Simpson's 1/3 Rule
- Composite Simpson's 1/3 Rule
- Simpsom's 3/8 Rule
- Romberg Method
- Romberg method for the trapezium rule
- Romberg method for the Simpson's 1/3 Rule
- Gauss-Legendre Integration Rules
- Gauss one point rule (Gauss-Legendre one point rule)
- Gauss Two point rule (Gauss-Legendre Two point rule)
- Gauss Three point rule (Gauss-Legendre Three point rule)
- Evaluation of Double Intergral Using Trapezium Rule
- Evaluation of Double Intergral Using Simpson's rule
- Introduction to Initial Value Problem for Ordinary Differential Equations
- Reduction of second order equation to a first order system
- Single Step Method
- Multi step Methods
- Taylor series Method
- Modified Euler or Heun’s Methods
- Runge Kutta Methods
- Taylor Series Method
- Runge-Kutta Fourth Order Method
- Multi Step Methods and Predictor-Corrector Methods
- Predictor Methods
- Adams-Moulton Methods
- Milne-Simpsons Method
- Stability of Numericals Method
- Introduction of Boundry value Problems
- Boundry Value problem governed by Second order Differential Equation
- Finite Difference method
- Classification of Linear Second Order Partial Differetiation Equation
- Finite Difference Methods for Laplace
- Finite Difference Methods for poisson Equations
- Explicit Method for Heat Conduction Equations
- Truncation error of the Schmidt method
- Implicit methods for Heat Conduction Equations
- Finite Difference Methods for Wave Equations
- Explicit methods for Wave Equations
- Truncation error of the explicit method for wave equation
- Implicit methods Wave Equations