Journal of Applied and Industrial Mathematics
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Stability estimates for the solutions to inverse extremal problems for the Helmholtz equation
Journal of Applied and Industrial Mathematics - Tập 7 - Trang 302-312 - 2013
The inverse problems are under study for the Helmholtz equation describing acoustic scattering at a three-dimensional inclusion. Some optimization method reduces these problems to the inverse extremum problems with variable refraction index and boundary source density as controls. We prove that these problems are solvable and derive the optimality systems that describe necessary optimality conditi......
Unsteady Flows of a Maxwell Viscoelastic Fluid near a Critical Point with a Countercurrent at the Initial Moment
Journal of Applied and Industrial Mathematics - Tập 16 - Trang 105-115 - 2022
Two-dimensional unsteady stagnation-point flow of a viscoelastic fluid is studied assuming
that it obeys the upper-convected Maxwell (UCM) model. The solutions of constitutive equations
are found under the assumption that the components of the extra stress tensor are polynomials in
the spatial variable along a rigid wall. The class of solutions for unsteady flows in a
neighbourhood of the front o......
On the shift of a regulatory signal in models of matrix synthesis
Journal of Applied and Industrial Mathematics - Tập 7 - Trang 404-411 - 2013
The paper deals with the limiting properties of the matrix synthesis models that take into account the phenomenon of branching and an unspecified number of intermediate steps. Numerically, it is shown that with unlimited increase of the number of intermediate steps, there is observed a shift of the control signal along the chain synthesis. Also the shift causes the compression of the control funct......
Estimates of Characteristics of Localization Methods for Discontinuities of the First Kind of a Noisy Function
Journal of Applied and Industrial Mathematics - Tập 13 - Trang 1-10 - 2019
This is theoretical study of the ill-posed problem on localization (determination of position) of discontinuities of the first kind of a function of one variable. The exact function x is smooth but has finitely many discontinuities of the first kind. Given some approximate function xδ, ||xδ − x|| L2(ℝ) ≤ δ, and the error level δ, it is required to determine the number of discontinuities and approx......
Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem
Journal of Applied and Industrial Mathematics - Tập 17 - Trang 802-814 - 2024
The problem of steady barotropic motion of a multicomponent medium consisting of
viscous compressible fluids in a bounded domain of three-dimensional space is formulated. The
viscosity matrices are assumed to be arbitrary (nondiagonal). The solvability of a regularized
(approximate) problem is proved.
Approximability of the Problem of Finding a Vector Subset with the Longest Sum
Journal of Applied and Industrial Mathematics - Tập 12 Số 4 - Trang 749-758 - 2018
A Graph-Theoretical Method for Decoding Some Group MLD-Codes
Journal of Applied and Industrial Mathematics - - 2020
A Parallel “Go with the Winners” Algorithm for Some Scheduling Problems
Journal of Applied and Industrial Mathematics - Tập 17 - Trang 687-697 - 2024
We consider an approach to solving permutation scheduling problems using graphics
accelerators. A parallel evolutionary algorithm based on the iterated random local search and the
“Go with the winners” algorithm is proposed. A computational experiment was carried out on test
instances of the classic Flow Shop problem and one applied production scheduling problem with
time windows. The results sho......
Orbits of linear maps and regular languages
Journal of Applied and Industrial Mathematics - Tập 5 - Trang 448-465 - 2011
The equivalence is established of the problem of hitting a polyhedral set by the orbit of a linear map and the intersection of a regular language and a language of permutations of binary words (
$$P_\mathbb{B}$$
-realizability problem). The decidability of the both problems is presently unknown, and the first one is......
The variable neighborhood search for the two machine flow shop problem with a passive prefetch
Journal of Applied and Industrial Mathematics - Tập 7 Số 1 - Trang 54-67 - 2013
Tổng số: 753
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