34 citations · 38 across the 8 of their papers we have counts for
8 papers
On Runge-Kutta methods of order 10
Misha Stepanov
A family of explicit 15-stage Runge-Kutta methods of order 10 is derived.
Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)
Misha Stepanov
Using simplifying assumptions that are related to the time reversal symmetry, a 1-dimensional family of 8-stage pseudo-symplectic Runge-Kutta methods of order (4, 8), i.e., methods…
Two continuous (4, 5) pairs of explicit 9-stage Runge-Kutta methods
Misha Stepanov
An 11-dimensional family of embedded (4, 5) pairs of explicit 9-stage Runge-Kutta methods with an interpolant of order 5 is derived. Two optimized for efficiency pairs are presente…
Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property
Misha Stepanov
The general case of embedded (4, 5) pairs of explicit 7-stage Runge--Kutta methods with FSAL property (a_7j = b_j, 1 <= j <= 7, c_7 = 1) is considered. Besides exceptional cases, t…
Most probable failure scenario in a model power grid with random power demand
Misha Stepanov, Aditya Sundarrajan
We consider a simple system with a local synchronous generator and a load whose power consumption is a random process. The most probable scenario of system failure (synchronization…
Instantons causing iterative decoding to cycle
Misha Stepanov
It is speculated that the most probable channel noise realizations (instantons) that cause the iterative decoding of low-density parity-check codes to fail make the decoding not to…