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math.NA2021★ 1 cited
Numerical integrating of highly oscillating functions: effective stable algorithms in case of linear phase
Leonid A. Sevastianov, Konstantin P. Lovetskiy, Dmitry S. Kulyabov
A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the fruitful idea of Levin,…
math.NA2020★ 1 cited
On conservative difference schemes for the many-body problem
Vladimir Gerdt, Mikhail Malykh, Leonid Sevastianov +1
A new approach to the construction of difference schemes of any order for the many-body problem that preserves all its algebraic integrals is proposed. We introduced additional var…