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Numerical Method for Civil Engineers (3.0 Finding root of Linear Equations…
Numerical Method for Civil Engineers
1.0 Introduction
2.0 Finding roots of Non Linear Equations
Bisection
Newton-Raphson
Secant
3.0 Finding root of Linear Equations
Crout LU
Gaussian elimination and conditioning
Cramer's Rule
Gauss-Jordan method for matrix inversion
7.0 Eigenvalue and Eigenvector
Polynomial Characteristic
Power Method
5.0 Numerical Differentiation and Integration
Differentiation
Backward
Center
Forward
Integration
Simpson's 1/3
Simpson's 3/8
Trapezoidal Rule
6.0 Numerical Ordinary Differentiation.
Runge-Kutta 2nd order
Runge Kutta 4th order
Euler Method
4.0 Curve Fitting
Non Linear Regression
Power
Exponential
Logarithm
Polynomial
Growth Rate
Linear Regression
Interpolation
Polynomial interpolation
8.0 Optimization
Simplex method
Graphical Method
9.0 Introduction to Finite Element and Finite Difference Methods