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math.NA2021★ 1 cited
Using a template engine as a computer algebra tool
Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. Kulyabov
In research problems that involve the use of numerical methods for solving systems of ordinary differential equations (ODEs), it is often required to select the most efficient meth…
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,…