Article
Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium
Kirpichnikova A, Korpela J, Lassas M & Oksanen L (2021) Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium. SIAM Journal on Control and Optimization, 59 (5), pp. 3737-3761. https://doi.org/10.1137/20M136904X
Article
How to get high resolution results from sparse and coarsely sampled data
Cuyt A & Lee W (2020) How to get high resolution results from sparse and coarsely sampled data. Applied and Computational Harmonic Analysis, 48 (3), pp. 1066-1087. https://doi.org/10.1016/j.acha.2018.10.001
Article
High accuracy trigonometric approximations of the real Bessel functions of the first kind
Cuyt A, Lee W & Wu M (2020) High accuracy trigonometric approximations of the real Bessel functions of the first kind. Computational Mathematics and Mathematical Physics, 60 (1), pp. 119-127. https://doi.org/10.1134/S0965542520010078
Article
Kirpichnikova AS & Kirpichnikova NY (2019) Leontovich-Fock Parabolic Equation Method in the Neumann Diffraction Problem on a Prolate Body of Revolution. Journal of Mathematical Sciences, 238 (5), pp. 658-675. https://doi.org/10.1007/s10958-019-04265-2
Conference Paper (published)
From exponential analysis to Padé approximation and tensor decomposition, in one and more dimensions
Cuyt A, Knaepkens F & Lee W (2018) From exponential analysis to Padé approximation and tensor decomposition, in one and more dimensions. In: Gerdt V, Koepf W, Seiler W & Vorozhtsov E (eds.) Computer Algebra in Scientific Computing. CASC 2018. Lecture Notes in Computer Science (LNCS), 11077. Computer Algebra in Scientific Computing, Lille, France, 17.09.2018-21.09.2018. Cham, Switzerland: Springer International Publishing, pp. 116-130. https://doi.org/10.1007/978-3-319-99639-4_8
Conference Paper (published)
Kirpichnikova A & Kirpichnikova N (2018) Comparison of the currents in the Dirichlet and Neumann shortwave diffraction problems of a plane wave from smooth prolate bodies of revolution. In: Proceedings of the International Conference Days on Diffraction 2018. Days on Diffraction 2018, Saint-Petersburg, Russia, 04.06.2018-08.06.2018. St Petersburg: Institute of Electrical and Electronics Engineers, pp. 161-167. https://doi.org/10.1109/DD.2018.8553047
Article
Multivariate exponential analysis from the minimal number of samples
Cuyt A & Lee W (2018) Multivariate exponential analysis from the minimal number of samples. Advances in Computational Mathematics, 44 (4), pp. 987-1002. https://doi.org/10.1007/s10444-017-9570-8
Article
Faint and clustered components in exponential analysis
Cuyt A, Tsai M, Verhoye M & Lee W (2018) Faint and clustered components in exponential analysis. Applied Mathematics and Computation, 327, pp. 93-103. https://doi.org/10.1016/j.amc.2017.11.007
Article
Deterministic sparse FFT for M-sparse vectors
Plonka G, Wannenwetsch K, Cuyt A & Lee W (2018) Deterministic sparse FFT for M-sparse vectors. Numerical Algorithms, 78 (1), pp. 133-159. https://doi.org/10.1007/s11075-017-0370-5
Conference Paper (published)
Sparse interpolation, the FFT algorithm and FIR filters
Briani M, Cuyt A & Lee W (2017) Sparse interpolation, the FFT algorithm and FIR filters. In: Gerdt V, Koepf W, Seiler W & Vorozhtsov E (eds.) Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings. Lecture Notes in Computer Science (LNCS), 10490. 19th International Workshop on Computer Algebra in Scientific Computing, Beijing, China, 18.09.2017-22.09.2017. Cham, Switzerland: Springer International Publishing, pp. 27-39. https://doi.org/10.1007/978-3-319-66320-3
Article
Formulation, stabilisation and encapsulation of bacteriophage for phage therapy
Malik DJ, Sokolov IJ, Vinner GK, Mancuso F, Cinquerrui S, Vladisavljevic GT, Clokie MRJ, Garton NJ, Stapley AGF & Kirpichnikova A (2017) Formulation, stabilisation and encapsulation of bacteriophage for phage therapy. Advances in Colloid and Interface Science, 249, pp. 100-133. https://doi.org/10.1016/j.cis.2017.05.014
Article
Towards unsupervised fluorescence lifetime imaging using low dimensional variable projection
Zhang Y, Cuyt A, Lee W, Lo Bianco G, Wu G, Chen Y & Li DD (2016) Towards unsupervised fluorescence lifetime imaging using low dimensional variable projection. Optics Express, 24 (23), pp. 26777-26791. https://doi.org/10.1364/oe.24.026777
Article
Numerical reconstruction of convex polytopes from directional moments
Collowald M, Cuyt A, Hubert E, Lee W & Salazar Celis O (2015) Numerical reconstruction of convex polytopes from directional moments. Advances in Computational Mathematics, 41 (6), pp. 1079-1099. https://doi.org/10.1007/s10444-014-9401-0
Article
Inverse boundary spectral problem for Riemannian polyhedra
Kirpichnikova A & Kurylev Y (2012) Inverse boundary spectral problem for Riemannian polyhedra. Mathematische Annalen, 354 (3), pp. 1003-1028. https://doi.org/10.1007/s00208-011-0758-9
Article
Kirpichnikova NY & Kirpichnikova AS (2012) Reflection and refraction from a vertical layer of surface SH waves radiated from a point source on a boundary free of tensions. Journal of Mathematical Sciences, 185 (4), pp. 596-604. https://doi.org/10.1007/s10958-012-0943-8
Article
Boundary layer method in the problem of far propagation of surface SV-waves
Kirpichnikova NY & Kirpichnikova AS (2011) Boundary layer method in the problem of far propagation of surface SV-waves. Journal of Mathematical Sciences, 175 (6), pp. 651-671. https://doi.org/10.1007/s10958-011-0381-z
Authored Book
Kirpichnikova A (2010) Inverse Problem for Anisotropic Riemannian Polyhedra: Inverse Boundary Spectral Problem for Piecewise Smooth Anisotropic Riemannian Polyhedra: Uniqueness. Berlin: VDE Verlag. https://www.omniscriptum.com/
Article
Focusing Waves in Unknown Media by Modified Time Reversal Iteration
Dahl MF, Kirpichnikova A & Lassas M (2009) Focusing Waves in Unknown Media by Modified Time Reversal Iteration. SIAM Journal on Control and Optimization, 48 (2), pp. 839-858. https://doi.org/10.1137/070705192
Article
Behavior of Gaussian beams in an anisotropic medium with interface
Kirpichnikova AS (2006) Behavior of Gaussian beams in an anisotropic medium with interface. Journal of Mathematical Sciences, 138 (2), pp. 5524-5542. https://doi.org/10.1007/s10958-006-0320-6
Article
Diffraction of the Electromagnetic Wave on a Small Obstacle of Elliptic Form in a Layer
Philippov VB, Kirpichnikova NY & Kirpichnikova A (2003) Diffraction of the Electromagnetic Wave on a Small Obstacle of Elliptic Form in a Layer. Journal of Mathematical Sciences, 117 (2), pp. 4028-4033. https://doi.org/10.1023/a%3A1024687313090
Article
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2002) Diffraction of Electromagnetic Waves on an Impedance Interface between Two Media with Different Perturbations in Impedance. Journal of Mathematical Sciences, 111 (4), pp. 3678-3690. https://doi.org/10.1023/a%3A1016381808828
Conference Paper (unpublished)
Diffraction of electromagnetic waves from the impedance with different perturbations
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2000) Diffraction of electromagnetic waves from the impedance with different perturbations. International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902356/; https://doi.org/10.1109/dd.2000.902356
Conference Paper (unpublished)
Diffraction by a line of jump of curvature (a special case)
Kirpichnikova A & Philippov VB (2000) Diffraction by a line of jump of curvature (a special case). International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902357/; https://doi.org/10.1109/dd.2000.902357