lect_11 - Numerical Marine Hydrodynamics • Interpolation...

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Unformatted text preview: Numerical Marine Hydrodynamics • Interpolation – Lagrange interpolation – Triangular families – Newton’s iteration method – Equidistant Interpolation – Spline Interpolation • Numerical Differentiation • Numerical Integration – Error of numerical integration Numerical Marine Hydrodynamics Lecture 11 2.29 Numerical Interpolation Given: Find for Purpose of numerical Interpolation 1. Compute intermediate values of a sampled function 2. Numerical differentiation – foundation for Finite Difference and Finite Element methods 3. Numerical Integration Numerical Marine Hydrodynamics Lecture 11 2.29 Numerical Interpolation Polynomial Interpolation f(x) Polynomial Interpolation x Interpolation function Interpolation Coefficients: Linear System of Equations Numerical Marine Hydrodynamics Lecture 11 2.29 Numerical Interpolation Polynomial Interpolation Examples f(x) f(x) x x Linear Interpolation Quadratic Interpolation Numerical Marine Hydrodynamics Lecture 11 2.29 Numerical Interpolation Polynomial Interpolation...
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lect_11 - Numerical Marine Hydrodynamics • Interpolation...

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