57 citations · 57 across the 3 of their papers we have counts for
3 papers
High Precision Differentiation Techniques for Data-Driven Solution of Nonlinear PDEs by Physics-Informed Neural Networks
Marat S. Mukhametzhanov
Time-dependent Partial Differential Equations with given initial conditions are considered in this paper. New differentiation techniques of the unknown solution with respect to tim…
Conjugate-symplecticity properties of Euler--Maclaurin methods and their implementation on the Infinity Computer
F. Iavernaro, F. Mazzia, M. S. Mukhametzhanov +1
Multi-derivative one-step methods based upon Euler-Maclaurin integration formulae are considered for the solution of canonical Hamiltonian dynamical systems. Despite the negative r…
On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales
Yaroslav D. Sergeyev, Dmitri E. Kvasov, Marat S. Mukhametzhanov
The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties o…