Maryna Kachanovska
Maryna Kachanovska
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Mathematical models for dispersive electromagnetic waves: an overview
M Cassier, P Joly, M Kachanovska
Computers & Mathematics with Applications 74 (11), 2792-2830, 2017
Fast convolution quadrature for the wave equation in three dimensions
L Banjai, M Kachanovska
Journal of Computational Physics 279, 103-126, 2014
Perfectly matched layers in negative index metamaterials and plasmas
É Bécache, P Joly, M Kachanovska, V Vinoles
ESAIM: Proceedings and Surveys 50, 113-132, 2015
Stable perfectly matched layers for a cold plasma in a strong background magnetic field
E Bécache, P Joly, M Kachanovska
Journal of Computational Physics 341, 76-101, 2017
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability
E Bécache, M Kachanovska
ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), 2399-2434, 2017
Sparsity of Runge–Kutta convolution weights for the three-dimensional wave equation
L Banjai, M Kachanovska
BIT Numerical Mathematics 54 (4), 901-936, 2014
Wave propagation in fractal trees. Mathematical and numerical issues
P Joly, M Kachanovska, A Semin
Networks and Heterogeneous Media, 2018
Virtual Laboratory for Computer-Aided Design: Typical Virtual Laboratory Structure and Principles of Its Operation
O Palagin, V Romanov, A Sachenko, I Galelyuka, V Hrusha, ...
2007 4th IEEE Workshop on Intelligent Data Acquisition and Advanced …, 2007
Hierarchical matrices and the high-frequency fast multipole method for the Helmholtz equation with decay
M Kachanovska
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach
P Joly, M Kachanovska
Numerische Mathematik 146 (2), 281-334, 2020
Energy decay and stability of a perfectly matched layer for the wave equation
DH Baffet, MJ Grote, S Imperiale, M Kachanovska
Journal of Scientific Computing 81 (3), 2237-2270, 2019
A numerical study of the solution of x-mode equations around the hybrid resonance
C Caldini-Queiros, B Després, LM Imbert-Gérard, M Kachanovska
ESAIM: Proceedings and Surveys 53, 1-21, 2016
Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides
E Bécache, M Kachanovska
SIAM Journal on Numerical Analysis 59 (4), 2004-2039, 2021
Hierarchical matrices and the high-frequency fast multipole method for the Helmholtz
M Kachanovska
Max Planck Institute for Mathematics in the Sciences}}, 2014
Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space
M Kachanovska
Inria, 2021
On a surprising instability result of Perfectly Matched Layers for Maxwell’s equations in 3D media with diagonal anisotropy
E Bécache, S Fliss, M Kachanovska, M Kazakova
Comptes Rendus. Mathématique 359 (3), 249-256, 2021
Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: Energy estimates
M Kachanovska
Virtual Laboratory for Computer-Aided Design of Biosensors
O Palagin, V Romanov, I Galelyuka, M Kachanovska
International Journal of Computing 6 (2), 68-76, 2014
Fast, parallel techniques for time-domain boundary integral equations
M Kachanovska
A mathematical study of a hyperbolic metamaterial in free space
P Ciarlet, M Kachanovska
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