Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilized explicit Adams-type methods   In this work we present explicit Adams-type multistep methods with extended
stability interval, which are analogous to the stabilized Chebyshev
Runge--Kutta methods. It is proved that for any $k\geq 1$ there exists an
explicit $k$-step Adams-type method of order one with stability interval of
length $2k$. The first order methods have remarkably simple expressions for
their coefficients and error constant. A damped modification of these methods
is derived. In general case to construct a $k$-step method of order $p$ it is
necessary to solve a constrained optimization problem in which the objective
function and $p$ constraints are second degree polynomials in $k$ variables. We
calculate higher-order methods up to order six numerically and perform some
numerical experiments to confirm the accuracy and stability of the methods.

36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph