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pro vyhledávání: '"Lorraine S. Baca"'
Autor:
Lorraine S. Baca, Lawrence F. Shampine
Publikováno v:
Numerische Mathematik. 41:165-175
The extrapolated midpoint rule is a popular way to solve the initial value problem for a system of ordinary differential equations. As originally formulated by Gragg, the results are smoothed to remove the weak instability of the midpoint rule. It is
Autor:
Lawrence F. Shampine, Lorraine S. Baca
Publikováno v:
Journal of Computational and Applied Mathematics. 11:197-207
When solving ordinary differential equations numerically, the local error is estimated at each step. In the classical situation of ‘small’ step sizes, it is clear what is required of the error estimators. Stiff problems are solved with ‘large
Publikováno v:
Parallel Computing. 11:263-273
Recursion relations have been used to allow the solution of the invariant imbedding equations with singularities. We demonstrate that these same relations can be used in an efficient implementation of invariant imbedding for massively parallel comput