Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: KIOPS: A fast adaptive Krylov subspace solver for exponential
  integrators   This paper presents a new algorithm KIOPS for computing linear combinations
of $\varphi$-functions that appear in exponential integrators. This algorithm
is suitable for large-scale problems in computational physics where little or
no information about the spectrum or norm of the Jacobian matrix is known a
priori. We first show that such problems can be solved efficiently by computing
a single exponential of a modified matrix. Then our approach is to compute an
appropriate basis for the Krylov subspace using the incomplete
orthogonalization procedure and project the matrix exponential on this
subspace. We also present a novel adaptive procedure that significantly reduces
the computational complexity of exponential integrators. Our numerical
experiments demonstrate that KIOPS outperforms the current state-of-the-art
adaptive Krylov algorithm phipm.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th