Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A high-order exponential integrator for nonlinear parabolic equations
  with nonsmooth initial data   A variable stepsize exponential multistep integrator, with contour integral
approximation of the operator-valued exponential functions, is proposed for
solving semilinear parabolic equations with nonsmooth initial data. By this
approach, the exponential k-step method would have $k$th-order convergence in
approximating a mild solution, possibly nonsmooth at the initial time. In
consistency with the theoretical analysis, a numerical example shows that the
method can achieve high-order convergence in the maximum norm for semilinear
parabolic equations with discontinuous initial data.

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci