Mathematical models for dispersive electromagnetic waves: an overview M Cassier, P Joly, M Kachanovska Computers & Mathematics with Applications 74 (11), 2792-2830, 2017 | 65 | 2017 |
Fast convolution quadrature for the wave equation in three dimensions L Banjai, M Kachanovska Journal of Computational Physics 279, 103-126, 2014 | 44 | 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 | 29 | 2015 |
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 | 24 | 2019 |
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 | 21 | 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 | 19 | 2017 |
Sparsity of Runge–Kutta convolution weights for the three-dimensional wave equation L Banjai, M Kachanovska BIT Numerical Mathematics 54, 901-936, 2014 | 18 | 2014 |
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 | 17 | 2021 |
Wave propagation in fractal trees. Mathematical and numerical issues P Joly, M Kachanovska, A Semin Networks and Heterogeneous Media, 2018 | 16 | 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 | 13 | 2007 |
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach P Joly, M Kachanovska Numerische Mathematik 146, 281-334, 2020 | 7 | 2020 |
Hierarchical matrices and the high-frequency fast multipole method for the Helmholtz equation with decay M Kachanovska | 6 | 2014 |
On a surprising instability result of Perfectly Matched Layers for Maxwell’s equations in 3D media with diagonal anisotropy É Bécache, S Fliss, M Kachanovska, M Kazakova Comptes Rendus. Mathématique 359 (3), 249-256, 2021 | 5 | 2021 |
A mathematical study of a hyperbolic metamaterial in free space P Ciarlet, M Kachanovska SIAM Journal on Mathematical Analysis 54 (2), 2216-2250, 2022 | 4 | 2022 |
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 | 4 | 2016 |
Fast, parallel techniques for time-domain boundary integral equations M Kachanovska | 4 | 2014 |
Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides É Bécache, M Kachanovska, M Wess ESAIM:M2AN, 2023 | 2 | 2023 |
Local transparent boundary conditions for wave propagation in fractal trees (II). Error and complexity analysis P Joly, M Kachanovska SIAM Journal on Numerical Analysis 60 (2), 529-557, 2022 | 2 | 2022 |
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles M Kachanovska Multiscale Modeling & Simulation 22 (1), 1-38, 2024 | 1 | 2024 |
Limiting Amplitude Principle for a Hyperbolic Metamaterial in Free Space M Kachanovska Inria, 2021 | 1 | 2021 |