Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive scheme for the approximation of dissipative systems   We propose a new scheme for the long time approximation of a diffusion when
the drift vector field is not globally Lipschitz. Under this assumption,
regular explicit Euler scheme --with constant or decreasing step-- may explode
and implicit Euler scheme are CPU-time expensive. The algorithm we introduce is
explicit and we prove that any weak limit of the weighted empirical measures of
this scheme is a stationary distribution of the stochastic differential
equation. Several examples are presented including gradient dissipative systems
and Hamiltonian dissipative systems.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int