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- Arévalo, Carmen
(författare)
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A note on numerically consistent initial values for high index differential-algebraic equations
- 2008
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Ingår i: Electronic Transactions on Numerical Analysis. - 1068-9613. ; 34, s. 14-19
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Tidskriftsartikel (refereegranskat)abstract
- When differential-algebraic equations of index 3 or higher are solved with backward differentiation formulas, the solution in the first few steps can have gross errors, the solution can have gross errors in the first few steps, even if the initial values are equal to the exact solution and even if the step size is kept constant. This raises the question of what are consistent initial values for the difference equations. Here we study how to change the exact initial values into what we call numerically consistent initial values for the implicit Euler method.
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- Janson, Svante, 1955-, et al.
(författare)
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Zeros of sections of the binomial expansion
- 2009
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Ingår i: Electronic Transactions on Numerical Analysis. - 1068-9613. ; 36:Sp. Iss. SI, s. 27-38
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Tidskriftsartikel (refereegranskat)abstract
- We examine the asymptotic behavior of the zeros of sections of the binomial expansion, that is, we consider the distribution of zeros of B-r,B-n(z) = Sigma(r)(k=0) ((n)(k))(zk), where 1 <= r <= n.
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