Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and oblivious convolution quadrature   We give an algorithm to compute $N$ steps of a convolution quadrature
approximation to a continuous temporal convolution using only $O(N \log N)$
multiplications and $O(\log N)$ active memory. The method does not require
evaluations of the convolution kernel, but instead $O(\log N)$ evaluations of
its Laplace transform, which is assumed sectorial.
  The algorithm can be used for the stable numerical solution with
quasi-optimal complexity of linear and nonlinear integral and
integro-differential equations of convolution type. In a numerical example we
apply it to solve a subdiffusion equation with transparent boundary conditions.

14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin