Midterm Outline
- Lagrange Interpolation
- Order of Accuracy.
- Degree of Precision.
- Quadrature
- Open and Closed Newton-Cotes Quadratures.
- Gaussian Quadratures.
- ODEs
- Sufficient conditions for well-posedness.
- Method of integrating factor.
- Separation of variables.
- One-step Numerical Methods
- Euler's Method : Forward and Backward.
- Taylor's Methods.
- Runge-Kutta Methods.
- Order of Accuracy of above methods.
- Multistep Numerical Methods
- Adams-Bashforth Methods
- Adams-Moulten Methods
- Order of accuracy of above methods.
- Criteria for stability of general multistep methods.
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