Runge Kutta Chebyshev Method for parabolic ... - Brown University

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Introduction Properties Pros and Cons Examples References 2nd order case: RKC2 Then compare these with the recursive definition of Pj, we get, ˜µ1 = b1w1, (42) µj = 2w0 ˜µj = 2w1 c1 = c2 bj bj−1 bj bj−1 T ′ c2 � (w0) 2 , νj = − bj bj−2 , (43) , ˜γj = −(1 − bj−1Tj−1(w0)) ˜µj, (2 � j � s) 4 , cj = T ′ s(w0)T ′′ j (w0) T ′′ s (w0)T ′ j (w0) � j2 − 1 s2 − 1 (44) (2 � j � s) (45)
Introduction Properties Pros and Cons Examples References Pros and Cons Pros: Explicit and designed <strong>for</strong> modestly stiff problems Cons: Restrictions on the problem
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Runge Kutta Chebyshev Method for parabolic ... - Brown University

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