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math.NA2006★ 1 cited
Adaptive, Fast and Oblivious Convolution in Evolution Equations with Memory
María López-Fernández, Christian Lubich, Achim Schädle
To approximate convolutions which occur in evolution equations with memory terms, a variable-stepsize algorithm is presented for which advancing N steps requires only O(N log(N)) o…
math.NA2005★ 107 cited
A spectral order method for inverting sectorial Laplace transforms
María López-Fernández, Cesar Palencia, Achim Schädle
Laplace transforms which admit a holomorphic extension to some sector strictly containing the right half plane and exhibiting a potential behavior are considered. A spectral order,…