Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterative weak approximation and hard bounds for switching diffusion   We establish a novel convergent iteration framework for a weak approximation
of general switching diffusion. The key theoretical basis of the proposed
approach is a restriction of the maximum number of switching so as to untangle
and compensate a challenging system of weakly coupled partial differential
equations to a collection of independent partial differential equations, for
which a variety of accurate and efficient numerical methods are available.
Upper and lower bounding functions for the solutions are constructed using the
iterative approximate solutions. We provide a rigorous convergence analysis for
the iterative approximate solutions, as well as for the upper and lower
bounding functions. Numerical results are provided to examine our theoretical
findings and the effectiveness of the proposed framework.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat