Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new class of efficient and robust energy stable schemes for gradient
  flows   We propose a new numerical technique to deal with nonlinear terms in gradient
flows. By introducing a scalar auxiliary variable (SAV), we construct efficient
and robust energy stable schemes for a large class of gradient flows. The SAV
approach is not restricted to specific forms of the nonlinear part of the free
energy, and only requires to solve {\it decoupled} linear equations with {\it
constant coefficients}. We use this technique to deal with several challenging
applications which can not be easily handled by existing approaches, and
present convincing numerical results to show that our schemes are not only much
more efficient and easy to implement, but can also better capture the physical
properties in these models. Based on this SAV approach, we can construct
unconditionally second-order energy stable schemes; and we can easily construct
even third or fourth order BDF schemes, although not unconditionally stable,
which are very robust in practice. In particular, when coupled with an adaptive
time stepping strategy, the SAV approach can be extremely efficient and
accurate.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph