Show full list of Invited Contributions to Minisymposia Show talk context (MS20)

__Energy-preserving compact difference schemes for nonlinear wave equations__

T. Matsuo

**Abstract**

For the nonlinear wave equations such as the KdV equation,
energy-preserving schemes are preferable whenever that is possible,
and there are several systematic ways for constructing such schemes.
On the other hand, mainly in numerical fluid dynamics, it is quite
common to employ special difference operators, called compact difference
operators, which replicate the original dispersion relation as good
as possible for better wave propagations.
In this talk, we first show that these two techniques can be combined
to construct energy-preserving compact difference schemes.
Then we point out that such combination becomes quite nontrivial,
when we seek for better compact difference schemes with narrow stencils.
This is a joint work with T. Yaguchi and H. Kanazawa.