lect_3 - Introduction to Numerical Analysis for Engineers...

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Introduction to Numerical Analysis for Engineers • Fundamentals of Digital Computing – Digital Computer Models – Convergence, accuracy and stability – Number representation – Arithmetic operations – Recursion algorithms • Error Analysis – Error propagation – numerical stability – Error estimation – Error cancellation – Condition numbers 2.29 Numerical Marine Hydrodynamics Lecture 3
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2.29 Numeric Solutions Error Propagation Spherical Bessel Functions Differential Equation al Marine Hydrodynamics Lecture 3
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Error Propagation Spherical Bessel Functions Forward Recurrence Unstable Forward Recurrence Backward Recurrence N ~ x+20 2.29 Numerical Marine Hydrodynamics Lecture 3 Miller’s algorithm Stable
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Error Propagation Euler’s Method Differential Equation Example Discretization Finite Difference (forward) Recurrence Central Finite Difference euler.m 2.29 Numerical Marine Hydrodynamics Lecture 3
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Error Analysis Numerical Instability Example Evaluate Integral Backward Recurrence
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lect_3 - Introduction to Numerical Analysis for Engineers...

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