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Search results with tag "Numerical stability implicit methods"
NUMERICAL STABILITY; IMPLICIT METHODS
homepage.math.uiowa.eduTHE TRAPEZOIDAL METHOD The backward Euler method is stable, but still is lacking in accuracy. A similar but more accurate numerical method is the trapezoidal method: y n+1 = y n + h 2 [f (x n;y n) + f (x n+1;y n+1)]; n = 0;1;::: (6) It is derived by applying the simple trapezoidal numerical integration rule to the equation Y(x n+1) = Y(x n) + Z ...