Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two Schemes for Fractional Diffusion and Diffusion-Wave Equations with
  Nonsmooth Data   We consider the initial/boundary value problem for the fractional diffusion
and diffusion-wave equations involving a Caputo fractional derivative in time.
We develop two "simple" fully discrete schemes based on the Galerkin finite
element method in space and convolution quadrature in time with the generating
function given by the implicit backward Euler method/second-order backward
difference method, and establish error estimates optimal with respect to the
regularity of the initial data. These two schemes are first and second-order
accurate in time for nonsmooth initial data. Extensive numerical experiments
for one and two-dimensional problems confirm the convergence analysis. A
detailed comparison with several popular time stepping schemes is also
performed. The numerical results indicate that the proposed fully discrete
schemes are accurate and robust for nonsmooth data, and competitive with
existing schemes.

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The categories of this paper are: cs
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol