Misha Stepanov | publications

publications

journal articles

• M. Stepanov, On Runge–Kutta methods of order 10, Electronic Transactions on Numerical Analysis 63, 609–626 (2025).
• Y. Tian, M. Woodward, M. Stepanov, C. Fryer, C. Hyett, D. Livescu, M. Chertkov, Lagrangian large eddy simulations via physics‑informed machine learning, Proceedings of the National Academy of Sciences of the United States of America 120 (34) e2213638120 (2023).
• M. Woodward, Y. Tian, C. Hyett, C. Fryer, M. Stepanov, D. Livescu, M. Chertkov, Physics‑informed machine learning with smoothed particle hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence, Physical Review Fluids 8 (5) 054602 (2023).
• M. Stepanov, Embedded (4, 5) pairs of explicit 7‑stage Runge–Kutta methods with FSAL property, Calcolo 59 (4) 41 (2022).
• V. A. Levashov, M. G. Stepanov, Analysis of spatial correlations in a model two‑dimensional liquid through eigenvalues and eigenvectors of atomic‑level stress matrices, Physical Review E 93 (1) 012602 (2016).
• B. Sturman, E. Podivilov, M. Stepanov, A. Tagantsev, N. Setter, Quantum properties of charged ferroelectric domain walls, Physical Review B 92 (21) 214112 (2015).
• M. Chertkov, F. Pan, M. G. Stepanov, Predicting failures in power grids: The case of static overloads, IEEE Transactions on Smart Grid 2 (1) 162–172 (2011).
• W. Becker, I. Gabitov, M. Stepanov, J. Kois, A. Smidt, B. E. Becker, Minimally invasive treatment for papillae deficiencies in the esthetic zone: A pilot study, Clinical Implant Dentistry and Related Research 12 (1) 1–8 (2010).
• S. K. Chilappagari, M. Chertkov, M. G. Stepanov, B. Vasić, Instanton‑based techniques for analysis and reduction of error floors of LDPC codes, IEEE Journal on Selected Areas in Communications 27 (6) 855–865 (2009).
• M. Shkarayev, M. G. Stepanov, New bisoliton solutions in dispersion managed systems, Physica D 238 (9–10) 840–845 (2009).
• M. Chertkov, M. G. Stepanov, An efficient pseudocodeword search algorithm for linear programming decoding of LDPC codes, IEEE Transactions on Information Theory 54 (4) 1514–1520 (2008).
• I. Gabitov, R. Indik, L. Mollenauer, M. Shkarayev, M. Stepanov, P. M. Lushnikov, Twin families of bisolitons in dispersion‑managed systems, Optics Letters 32 (6) 605–607 (2007).
• G. Falkovich, M. G. Stepanov, M. Vucelja, Rain initiation time in turbulent warm clouds, Journal of Applied Meteorology and Climatology 45 (4) 591–599 (2006).
• M. G. Stepanov, V. Chernyak, M. Chertkov, B. Vasić, Diagnosis of weaknesses in modern error correction codes: A physics approach, Physical Review Letters 95 (22) 228701 (2005).
• A. Piryatinski, M. Stepanov, S. Tretiak, V. Chernyak, Semiclassical scattering on conical intersections, Physical Review Letters 95 (22) 223001 (2005).
• V. Chernyak, M. Chertkov, M. G. Stepanov, B. Vasić, Error correction on a tree: An instanton approach, Physical Review Letters 93 (19) 198702 (2004).
• A. M. Balk, G. Falkovich, M. G. Stepanov, Growth of density inhomogeneities in a flow of wave turbulence, Physical Review Letters 92 (24) 244504 (2004).
• S. A. Babin, M. G. Stepanov, D. V. Churkin, D. A. Shapiro, Coulomb broadening of the peak of electromagnetically induced transparency in plasma, Journal of Experimental and Theoretical Physics 98 (5) 953–959 (2004).
• G. Falkovich, A. Fouxon, M. G. Stepanov, Acceleration of rain initiation by cloud turbulence, Nature 419, 151–154 (2002).
• G. Falkovich, M. G. Stepanov, Role of interaction in causing errors in optical soliton transmission, Optics Letters 27 (1) 13–15 (2002).
• G. E. Falkovich, M. G. Stepanov, S. K. Turitsyn, Statistics of interacting optical solitons, Physical Review E 64 (6) 067602 (2001).
• A. I. Chernykh, M. G. Stepanov, Large negative velocity gradients in Burgers turbulence, Physical Review E 64 (2) 026306 (2001).
• M. G. Stepanov, L. S. Levitov, Laplacian growth with separately controlled noise and anisotropy, Physical Review E 63 (6) 061102 (2001).
• S. A. Babin, S. I. Kablukov, S. V. Khorev, E. V. Podivilov, V. V. Potapov, D. A. Shapiro, M. G. Stepanov, Resonant peak in the output spectral profile of an ionic anti‑Stokes Raman laser, Physical Review A 63 (6) 063804 (2001).
• Yu. I. Belousov, E. V. Podivilov, M. G. Stepanov, D. A. Shapiro, Nonlinear resonances free of field and Doppler broadenings, Journal of Experimental and Theoretical Physics 91 (2) 287–297 (2000).
• I. Kolokolov, V. Lebedev, M. Stepanov, Passive scalar in a large‑scale velocity field, Journal of Experimental and Theoretical Physics 88 (3) 506–516 (1999).
• M. G. Stepanov, Autler–Townes doublet probed by strong field, Journal of Physics B 32 (3) 649–661 (1999).
• D. A. Shapiro, M. G. Stepanov, Diffusion‑broadened line shape near a turning point, JETP Letters 68 (1) 29–35 (1998).
• D. A. Shapiro, M. G. Stepanov, Power broadening of a diffusion resonance, Journal of Experimental and Theoretical Physics 86 (5) 888–896 (1998).
• D. A. Shapiro, M. G. Stepanov, Diffusion‑broadened lineshape under a strong field, Journal of Physics B 30 (11) L377–L381 (1997).
• E. V. Podivilov, D. A. Shapiro, M. G. Stepanov, Narrowing of nonlinear resonances in a collisional plasma, Journal of Experimental and Theoretical Physics 82 (2) 221–227 (1996).
• E. V. Podivilov, D. A. Shapiro, M. G. Stepanov, Narrowing of the Bennett hole in collisional plasma, Physical Review Letters 74 (20) 3979–3982 (1995).

conference proceedings

• E. V. Podivilov, D. A. Shapiro, M. G. Stepanov, Narrowing of saturation resonance in collisional plasma, SPIE Proceedings 2797 (Nonlinear Spectroscopy and Ultrafast Phenomena) 226–231 (1996).

preprints and datasets

• M. Stepanov, explicit 15‑stage Runge–Kutta method of order 10, Zenodo (2025).
• M. Stepanov, Eight‑stage pseudo‑symplectic Runge–Kutta methods of order (4, 8), arXiv: 2301.09335 (2023).
• M. Stepanov, Two continuous (4, 5) pairs of explicit 9‑stage Runge–Kutta methods, arXiv: 2202.08443 (2022).
• M. Stepanov, Instantons causing iterative decoding to cycle, arXiv: 1108.5547 (2011).
• Ye. S. Mukhametkarimov, Zh. A. Kudyshev, A. E. Davletov, I. R. Gabitov, A. I. Maimistov, M. G. Stepanov, Second harmonic generation in dissipative metamaterials, arXiv: 1310.3109 (2013).
• M. Stepanov, A. Sundarrajan, Most probable failure scenario in a model power grid with random power demand, arXiv: 1309.7498 (2013).
• D. Volk, M. G. Stepanov, Resampling methods for document clustering, arXiv: cond-mat/0109006 (2001).

presentations