UMA Home page for Maryna Kachanovska
Researcher
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Chargé de Recherche
Ph.D. 2014
EMAIL_TEMPLATE
Research activities (sorry, only french text)
Researcher INRIA Saclay
Publications
Papers in peer-reviewed journals
Submitted
To appear
- A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles
SIAM MMS, to appear
2023
- Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides
, and
ESAIM: Math. Modell. Numer. Anal., jul, 2023
2022
- A mathematical study of a hyperbolic metamaterial in free space
and
SIAM Journal on Mathematical Analysis, vol. 54(2), apr, 2022 - Local transparent boundary conditions for wave propagation in fractal trees (ii). Error and complexity analysis
and
SINUM, 2022
2021
- Local transparent boundary conditions for wave propagation in fractal trees (I). Method and numerical implementation.
and
SIAM Journal on Scientific Computing, 2021 - On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy
, , and
Comptes Rendus. Mathématique, vol. 3, pp. 249-256, 2021 - Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides
and
SIAM Journal on Numerical Analysis, vol. 59 (4), pp. 2004-2039, 2021
2020
- Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach
and
Numerische Mathematik, sep, 2020 [
] 
2019
- Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
, , and
Journal of Scientific Computing, vol. 81, pp. 2237-2270, dec, 2019 - Wave propagation in fractal trees. Mathematical and numerical issues
, and
Networks and Heterogeneous Media, vol. 14, pp. 205-264, jun, 2019
2017
- Mathematical models for dispersive electromagnetic waves: An overview
, and
Computers and Mathematics with Applications, vol. 74 (11), pp. 2792-2830, Elsevier, 2017 - Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field
, and
Journal of Computational Physics, vol. 341, pp. 76-101, jul, 2017 - Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability
and
ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), vol. 51, number 6, pp. 2399 - 2434, dec, 2017 [ ]
2016
- A NUMERICAL STUDY OF THE SOLUTION OF X-MODE EQUATIONS AROUND THE HYBRID RESONANCE
, , and
ESAIM: Proceedings and Surveys, CEMRACS 2014 – Numerical Modeling of Plasmas, mar, 2016
2015
- Perfectly matched layers in negative index metamaterials and plasmas
, , and
ESAIM: Proceedings and Surveys, vol. 50, pp. 113-132, EDP Sciences, mar, 2015
2014
- Fast convolution quadrature for the wave equation in three dimensions
and
Journal of Computational Physics, vol. 279, pp. 103-126, dec, 2014 - Sparsity of Runge–Kutta convolution weights for the three-dimensional wave equation
and
BIT Numerical Mathematics, vol. 54, pp. 901-936, dec, 2014
International conferences with proceedings
2022
- Stability and convergence of time-domain perfectly matched layers in dispersive waveguides
, and
pp. 192, 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, 2022
2017
- Propagation of acoustic waves in fractal networks
, and
Oberwolfach Report, Space-time Methods for Time-dependent Partial Differential Equations, 2017 - Stable Perfectly Matched Layers for a Class of Anisotropic Dispersive Models
and
Oberwolfach Report, Space-time Methods for Time-dependent Partial Differential Equations, 2017
2015
- Stable Perfectly Matched Layers for a Simplified Anisotropic Model of Cold Plasma
, and
pp. 158-159, WAVES 2015, Karlsruhe, jul, 2015
2012
- Fast convolution quadrature for the wave equation in 3D
and
pp. 1397-1409, ECCOMAS 2012, 2012