Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Computation of High-Order Electromagnetic Field Derivatives
  for Multiple Design Parameters in FDTD   This paper introduces a new computational framework to derive electromagnetic
field derivatives with respect to multiple design parameters up to any order
with the Finite-Difference Time-Domain (FDTD) technique. Specifically, only one
FDTD simulation is needed to compute the first-order field derivatives with
respect to N parameters, while two FDTD simulations are needed to compute the
field derivatives with respect to one parameter up to any order. The field
derivatives with respect to N parameters up to any order are computed with
(N+1) FDTD runs. In addition to its efficiency, this framework is based on a
subtractive cancellation error-free approach, providing guaranteed accuracy
toward the computation of field derivatives up to any order. With high-order
field derivatives available, sensitivity analysis, parametric modelling and
uncertainty quantification can be accurately performed.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol