Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A semidiscrete finite element approximation of a time-fractional
  Fokker-Planck equation with nonsmooth initial data   We present a new stability and convergence analysis for the spatial
discretization of a time-fractional Fokker--Planck equation in a convex
polyhedral domain, using continuous, piecewise-linear, finite elements. The
forcing may depend on time as well as on the spatial variables, and the initial
data may have low regularity. Our analysis uses a novel sequence of energy
arguments in combination with a generalized Gronwall inequality. Although this
theory covers only the spatial discretization, we present numerical experiments
with a fully discrete scheme employing a very small time step, and observe
results consistent with the predicted convergence behavior.

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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex