Page of Maryna Kachanovska

Maryna Kachanovska		Researcher Chargé de Recherche PhD defended in 2014 Personal web page
ENSTA UMA office 2.2.29 Phone : (0) 18 187 2098

Papers in peer-reviewed journal

M. Halla, M. Kachanovska, M. Wess

Radial perfectly matched layers and infinite elements for the anisotropic wave equation (Submitted)

P. Joly, M. Kachanovska, Z. Moitier

High-order numerical integration on self-affine sets (Submitted)

A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles (2024)

SIAM MMS

P. Ciarlet, M. Kachanovska, É. Peillon

Study of a degenerate non-elliptic equation to model plasma heating (2024)

ESAIM:M2AN

É. Bécache, M. Kachanovska, M. Wess

Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides (2023)

ESAIM: Math. Modell. Numer. Anal.

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P. Joly, M. Kachanovska

Local transparent boundary conditions for wave propagation in fractal trees (ii). Error and complexity analysis (2022)

SINUM

P. Ciarlet, M. Kachanovska

A mathematical study of a hyperbolic metamaterial in free space (2022)

SIAM Journal on Mathematical Analysis - vol. 54(2)

P. Joly, M. Kachanovska

Local transparent boundary conditions for wave propagation in fractal trees (I). Method and numerical implementation. (2021)

SIAM Journal on Scientific Computing

É. Bécache, M. Kachanovska

Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides (2021)

SIAM Journal on Numerical Analysis - vol. 59 (4) (pp 2004-2039 )

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É. Bécache, S. Fliss, M. Kachanovska, M. Kazakova

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy (2021)

Comptes Rendus. Mathématique - vol. 3 (pp 249-256 )

P. Joly, M. Kachanovska

Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach (2020)

Numerische Mathematik

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P. Joly, M. Kachanovska, A. Semin

Wave propagation in fractal trees. Mathematical and numerical issues (2019)

Networks and Heterogeneous Media - vol. 14 (pp 205-264 )

B. Daniel, M. Grote, S. Imperiale, M. Kachanovska

Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation (2019)

Journal of Scientific Computing - vol. 81 (pp 2237-2270 )

É. Bécache, M. Kachanovska

Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability (2017)

ESAIM: Mathematical Modelling and Numerical Analysis (M2AN) - vol. 51, number 6 (pp 2399 - 2434 )

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É. Bécache, P. Joly, M. Kachanovska

Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field (2017)

Journal of Computational Physics - vol. 341 (pp 76-101 )

M. Cassier, P. Joly, M. Kachanovska

Mathematical models for dispersive electromagnetic waves: An overview (2017)

Computers and Mathematics with Applications - Elsevier - vol. 74 (11) (pp 2792-2830 )

C. Caldini-Queiros, B. Després, L.-M. Imbert-Gérard, M. Kachanovska

A NUMERICAL STUDY OF THE SOLUTION OF X-MODE EQUATIONS AROUND THE HYBRID RESONANCE (2016)

ESAIM: Proceedings and Surveys - CEMRACS 2014 – Numerical Modeling of Plasmas

É. Bécache, P. Joly, M. Kachanovska, V. Vinoles

Perfectly matched layers in negative index metamaterials and plasmas (2015)

ESAIM: Proceedings and Surveys - EDP Sciences - vol. 50 (pp 113-132 )

L. Banjai, M. Kachanovska

Fast convolution quadrature for the wave equation in three dimensions (2014)

Journal of Computational Physics - vol. 279 (pp 103-126 )

L. Banjai, M. Kachanovska

Sparsity of Runge–Kutta convolution weights for the three-dimensional wave equation (2014)

BIT Numerical Mathematics - vol. 54 (pp 901-936 )

International conferences with proceedings

É. Bécache, M. Kachanovska, M. Wess

Stability and convergence of time-domain perfectly matched layers in dispersive waveguides (2022)

(pp 192 )

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P. Joly, M. Kachanovska, A. Semin

Propagation of acoustic waves in fractal networks (2017)

Oberwolfach Report

É. Bécache, M. Kachanovska

Stable Perfectly Matched Layers for a Class of Anisotropic Dispersive Models (2017)

Oberwolfach Report

É. Bécache, P. Joly, M. Kachanovska

Stable Perfectly Matched Layers for a Simplified Anisotropic Model of Cold Plasma (2015)

(pp 158-159 )

L. Banjai, M. Kachanovska

Fast convolution quadrature for the wave equation in 3D (2012)

(pp 1397-1409 )

Research reports

Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space (2021)

Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: energy estimates (2018)

Hierarchical matrices and the high-frequency fast multipole method for the Helmholtz equation with decay (2014)

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