Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implicit multiderivative collocation solvers for linear partial
  differential equations with discontinuous Galerkin spatial discretizations   In this work, we construct novel discretizations for the unsteady
convection-diffusion equation. Our discretization relies on multiderivative
time integrators together with a novel discretization that reduces the total
number of unknowns for the solver. These type of temporal discretizations come
from an umbrella class of methods that include Lax-Wendroff (Taylor) as well as
Runge-Kutta methods as special cases. We include two-point collocation methods
with multiple time derivatives as well as a sixth-order fully implicit
collocation method that only requires a total of three stages. Numerical
results for a number of sample linear problems indicate the expected order of
accuracy and indicate we can take arbitrarily large time steps.

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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat