lect_14 - Numerical Marine Hydrodynamiscs Numerical...

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Numerical Marine Hydrodynamiscs Numerical Differentiation – Newton Interpolation – Finite Differences Ordinary Differential Equations – Initial Value Problems • Euler’s Method • Taylor Series Methods – Error analysis • Runge-Kutta Methods – Systems of differential equations – Boundary Value Problems • Shooting method • Direct Finite Difference methods Numerical Marine Hydrodynamics Lecture 14 2.29
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Numerical Interpolation Newton’s Iteration Formula Standard triangular family of polynomials Divided Differences Newton’s Computational Scheme 2 3 Numerical Marine Hydrodynamics Lecture 14 2.29
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Numerical Interpolation Equidistant Newton Interpolation Equidistant Sampling Divided Differences Stepsize Implied Triangular Family of Polynomials Equidistant Sampling Numerical Marine Hydrodynamics Lecture 14 2.29
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Numerical Differentiation First order n=1 Triangular Family of Polynomials f(x) Equidistant Sampling h x Numerical Marine Hydrodynamics Lecture 14 2.29
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f(x) Forward Difference n=2 Second order h h Central Difference
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.29 taught by Professor Henrikschmidt during the Spring '07 term at MIT.

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lect_14 - Numerical Marine Hydrodynamiscs Numerical...

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