Advanced Mathematical Methods for Civil Engineering Applications Wonsiri Punurai, PhD Wonsiri Punurai, PhD Department of Civil Engineering Room 6391, EG Building 3 Faculty of Engineering, Mahidol University Class Web: www.egmu.net/~civil/wonsiri Numerical techniques for interpolation & curve fitting
Transcript
Advanced Mathematical Methods for Civil Engineering Applications
Wonsiri Punurai, PhDWonsiri Punurai, PhDDepartment of Civil EngineeringRoom 6391, EG Building 3Faculty of Engineering, Mahidol UniversityClass Web: www.egmu.net/~civil/wonsiri
Numerical techniques for interpolation & curve fitting
Interpolations
Linear InterpolationQuadratic InterpolationPolynomial InterpolationPiecewise Polynomial interpolation
Basic ideas - linear interpolation
Interpolation vs. Curve Fitting
Interpolation & Extrapolation
Linear Interpolation
Interpolations
Linear InterpolationQuadratic InterpolationPolynomial InterpolationPiecewise Polynomial interpolation
Quadratic Interpolation
Example: Quadratic Interpolation at x=2
Example: Quadratic Interpolation at x=2
Interpolations
Linear InterpolationQuadratic InterpolationPolynomial InterpolationPiecewise Polynomial interpolation