Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-Order Accurate FDTD Schemes for Dispersive Maxwell's Equations in
  Second-Order Form Using Recursive Convolutions   We propose a novel finite-difference time-domain (FDTD) scheme for the
solution of the Maxwell's equations in which linear dispersive effects are
present. The method uses high-order accurate approximations in space and time
for the dispersive Maxwell's equations written as a second-order vector wave
equation with a time-history convolution term. The modified equation approach
is combined with the recursive convolution (RC) method to develop high-order
approximations accurate to any desired order in space and time.
High-order-accurate centered approximations of the physical Maxwell interface
conditions are derived for the dispersive setting in order to fully restore
accuracy at discontinuous material interfaces. Second- and fourth-order
accurate versions of the scheme are presented and implemented in two spatial
dimensions for the case of the Drude linear dispersion model. The stability of
these schemes is analyzed. Finally, our approach is also amenable to
curvilinear numerical grids if used with appropriate generalized Laplace
operator.

24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int