1 citations · 2 across the 4 of their papers we have counts for
4 papers
Numerical study of high frequency asymptotics of the symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems
Margo Kondratieva, Sergey Sadov
A high-frequency asymptotics of the symbol of the Dirichlet-to-Neumann map, treated as a periodic pseudodifferential operator, in 2D diffraction problems is discussed. Numerical re…
Two-system of a Hamiltonian system
M. F. Kondratieva, S. Yu. Sadov
For a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variati…
On a necessary and sufficient cyclicity condition for a quadrilateral
Sergey Sadov
A convex quadrilateral with sides a,b,c,d, and diagonals p,q is cyclic iff abp-bcq+cdp-daq=0. This condition, in spite of its simplicity, appears to be unnoted and unexpectedly pro…
Coupling of the Legendre polynomials with kernels and
S. Sadov
Double integrals that represent matrix elements of the power and logarithmic potentials in the Legendre polynoiomial basis on [-1,1] are found in a closed form. Several proofs are…