Review1

Review1 - f ( x i + x ) = f ( x i )+ x f ( x i )+ x 2 2! f...

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Test I Review MAT 421 Applied Computational Methods Numerical Diferentiation (memorize Formulas For f ± f ± ) (2) Lagrange Interpolation (memorize) (3) Numerical Integration (memorize TR, Richardson extrapolation) Initial Value Problems memorize Forward Euler, backward Euler, TR understand RK2, RK4 (4) accuracy (LTE), (5) stability ( | G |≤ 1), convergence Equivalence Theorem Memorize Taylor Series Expansion:
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Unformatted text preview: f ( x i + x ) = f ( x i )+ x f ( x i )+ x 2 2! f ( x i )+ x 3 3! f (3) ( x i )+ x 4 4! f (4) ( x i )+ f ( x i- x ) = f ( x i )- x f ( x i )+ x 2 2! f ( x i )- x 3 3! f (3) ( x i )+ x 4 4! f (4) ( x i )- Redundant truth doesnt bother us! Feynman u ( t n + t ) = u ( t n ) + t u ( t n ) + t 2 2! u ( t n ) + t 3 3! u (3) ( t n ) + t 4 4! u (4) ( t n ) +...
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