|-
| 2009 || Oliveira and Sobrinho applied the FDTD method for simulating lightning strokes in a power substation<ref name="oliveira09" />
|-
| 2012 || Moxley ''et al'' developed a generalized finite-difference time-___domain quantum method for the N-body interacting Hamiltonian.<ref name="Moxley2012" />
|-
| 2013 || Moxley ''et al'' developed a generalized finite-difference time-___domain scheme for solving nonlinear Schrödinger equations.<ref name="Moxley2013" />
|-
| 2014 || Moxley ''et al'' developed an implicit generalized finite-difference time-___domain scheme for solving nonlinear Schrödinger equations.<ref name="Moxley2014" />
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| 2021 || Oliveira and Paiva developed the Least Squares Finite-Difference Time-Domain method (LS-FDTD) for using time steps beyond FDTD CFL limit.<ref name="oliveira2021" />
| doi = 10.1002/sapm1950291223
}}</ref>
<ref name="Moxley2012">
{{cite journal
|author1=F. I. Moxley III |author2=T. Byrnes |author3=F. Fujiwara |author4=W. Dai | title = A generalized finite-difference time-___domain quantum method for the N-body interacting Hamiltonian
| journal = Computer Physics Communications
| volume = 183
| issue = 11
| pages = 2434–2440
| year = 2012
| doi=10.1016/j.cpc.2012.06.012
|bibcode = 2012CoPhC.183.2434M }}</ref>
<ref name="Moxley2014">{{cite book
| author=Frederick Moxley
| display-authors=etal
| title=Contemporary Mathematics: Mathematics of Continuous and Discrete Dynamical Systems
| publisher=American Mathematical Society
| year=2014
| isbn=978-0-8218-9862-8
| url=https://www.ams.org/bookstore-getitem?item=CONM-618| author-link=Frederick Moxley
}}
</ref>
<ref name="Moxley2013">
{{cite journal
|author1=F. I. Moxley III |author2=D. T. Chuss |author3=W. Dai | title = A generalized finite-difference time-___domain scheme for solving nonlinear Schrödinger equations
| journal = Computer Physics Communications
| volume = 184
| issue = 8
| pages = 1834–1841
| year = 2013
| doi=10.1016/j.cpc.2013.03.006
|bibcode = 2013CoPhC.184.1834M }}</ref>
<ref name="vonneumann49">
|