11 citations · 17 across the 6 of their papers we have counts for
6 papers
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
Alexander Zlotnik, Raimondas Čiegis
We consider an initial-boundary value problem for the -dimensional wave equation with the variable sound speed, . We construct three-level implicit in time and compact…
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
Alexander Zlotnik, Raimondas Čiegis
We study necessary conditions for stability of a Numerov-type compact higher-order finite-difference scheme for the 1D homogeneous wave equation in the case of non-uniform spatial…
A Three-Level Parallelisation Scheme and Application to the Nelder-Mead Algorithm
Rima Kriauzienė, Andrej Bugajev, Raimondas Čiegis
We consider a three-level parallelisation scheme. The second and third levels define a classical two-level parallelisation scheme and some load balancing algorithm is used to distr…
High order numerical schemes for solving fractional powers of elliptic operators
Raimondas Ciegis, Petr Vabishchevich
In many recent applications when new materials and technologies are developed it is important to describe and simulate new nonlinear and nonlocal diffusion transport processes. A g…
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
Alexander Zlotnik, Raimondas Čiegis
The stability bounds and error estimates for a compact higher order Numerov-Crank-Nicolson scheme on non-uniform space meshes for the 1D time-dependent Schrödinger equation have be…
Asymptotic approximation of hyperbolic weakly nonlinear systems
A. Krylovas, R. Ciegis
An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equations disinteg…