Numerical Study of Blow‐Up Mechanisms for Davey–Stewartson II Systems C Klein, N Stoilov Studies in Applied Mathematics 141 (1), 89-112, 2018 | 25 | 2018 |
Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2+ 1 dimensions EV Ferapontov, AV Odesskii, NM Stoilov Journal of mathematical physics 52 (7), 2011 | 17 | 2011 |
Numerical Study of Zakharov–Kuznetsov Equations in Two Dimensions C Klein, S Roudenko, N Stoilov Journal of Nonlinear Science 31 (2), 1-28, 2021 | 15 | 2021 |
Numerical study of the transverse stability of the Peregrine solution C Klein, N Stoilov Studies in Applied Mathematics 145 (1), 36-51, 2020 | 13 | 2020 |
Multi-domain spectral approach for the Hilbert transform on the real line C Klein, J Riton, N Stoilov Partial Differential Equations and Applications 2 (3), 36, 2021 | 11 | 2021 |
Multidomain spectral method for the Gauss hypergeometric function S Crespo, M Fasondini, C Klein, N Stoilov, C Vallée Numerical Algorithms 84 (1), 1-35, 2020 | 11 | 2020 |
Numerical study of soliton stability, resolution and interactions in the 3D Zakharov–Kuznetsov equation C Klein, S Roudenko, N Stoilov Physica D: Nonlinear Phenomena 423, 132913, 2021 | 9 | 2021 |
High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data C Klein, K McLaughlin, N Stoilov Proceedings of the Royal Society A 476, 2020 | 7 | 2020 |
Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support C Klein, N Stoilov Nonlinearity 32 (11), 4258, 2019 | 7* | 2019 |
Three dimensional reductions of four-dimensional quasilinear systems MV Pavlov, NM Stoilov Journal of Mathematical Physics 58 (11), 111510, 2017 | 7 | 2017 |
Spectral approach to Korteweg-de Vries equations on the compactified real line C Klein, N Stoilov Applied Numerical Mathematics 177, 160-170, 2022 | 5 | 2022 |
Spectral approach to the scattering map for the semi-classical defocusing Davey–Stewartson II equation C Klein, K McLaughlin, N Stoilov Physica D: Nonlinear Phenomena 400, 132126, 2019 | 5 | 2019 |
Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+ 1 dimensions EV Ferapontov, VS Novikov, NM Stoilov Physica D: Nonlinear Phenomena 241 (23-24), 2138-2144, 2012 | 5 | 2012 |
On numerical approaches to nonlinear Schrödinger and Korteweg–de Vries equations for piecewise smooth and slowly decaying initial data C Klein, J Prada-Malagon, N Stoilov Physica D: Nonlinear Phenomena 454, 133885, 2023 | 4 | 2023 |
Large∣ k∣ Behavior of Complex Geometric Optics Solutions to d‐bar Problems C Klein, J Sjöstrand, N Stoilov Communications on Pure and Applied Mathematics 76 (10), 2221-2270, 2023 | 4 | 2023 |
Spectral approach to semi-classical d-bar problems with Schwartz class potentials C Klein, K McLaughlin, N Stoilov Physica D 400, 132126, 2019 | 4 | 2019 |
“Riemann equations” in bidifferential calculus O Chvartatskyi, F Müller-Hoissen, N Stoilov Journal of Mathematical Physics 56 (10), 103512, 2015 | 4 | 2015 |
Numerical study of the transverse stability of line solitons of the Zakharov–Kuznetsov equations C Klein, JC Saut, N Stoilov Physica D: Nonlinear Phenomena 448, 133722, 2023 | 3 | 2023 |
Numerical study of Davey–Stewartson I systems J Frauendiener, C Klein, U Muhammad, N Stoilov Studies in Applied Mathematics 149 (1), 76-94, 2022 | 3 | 2022 |
Numerical study of break-up in solutions to the dispersionless Kadomtsev–Petviashvili equation C Klein, N Stoilov Letters in Mathematical Physics 111 (5), 113, 2021 | 2 | 2021 |