Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mass-lumping finite element method for radially symmetric solution of
  a multidimensional semilinear heat equation with blow-up   This study presents a new mass-lumping finite element method for computing
the radially symmetric solution of a semilinear heat equation in an $N$
dimensional ball ($N\ge 2$). We provide two schemes, (ML-1) and (ML-2), and
derive their error estimates through the discrete maximum principle. In the
weighted $L^{2}$ norm, the convergence of (ML-1) was at the optimal order but
that of (ML-2) was only at sub-optimal order. Nevertheless, scheme (ML-2)
reproduces a blow-up of the solution of the original equation. In fact, in
scheme (ML-2), we could accurately approximate the blow-up time. Our
theoretical results were validated in numerical experiments.

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn