My research group focuses on stability analysis and normal forms for
nonlinear waves, modeling of coupled-mode equations of Schrodinger and Dirac types,
spectral theory and discrete dynamical systems. It exploits methods of applied analysis and
algorithms scientific computing for both fundamental and application projects. The
group is funded under research grants sorted in the reverse chronological order.
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Russian Federation Ministry of Education and Science (2012-2013)
"Discrete and continuous models in hydrodynamics"
PI: Dmitry Pelinovsky (McMaster University)
Host: Andrey Kurkin (Nizhny Novgorod State Technical University, Russia)
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NSERC (Individual Discovery) grant (2011-2015)
"Evolution of localized modes in nonlinear dispersive equations"
PI: Dmitry Pelinovsky
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MITACS Strategic Fellowship (Elevate) grant (2010-2012)
"Wavelet methods for optimal control problems in pharmaceutical research"
PI: Wei Zhao (McMaster University)
Supervisor: Dmitry Pelinovsky (McMaster University)
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NSERC (Individual Discovery) grant (2006-2011)
"Traveling localized waves in discrete lattices"
PI: Dmitry Pelinovsky
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Humboldt Foundation Research Fellowship (2006-2007)
"Modelling of nonlinear periodic media with continuous and
discrete evolution equations"
PI: Dmitry Pelinovsky
Host: Guido Schneider (University of Stuttgart)
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PREA (Premier Research Excellence Award) (2004-2009)
"Stability of Bose-Einstein condensates in optical lattices"
PI: Dmitry Pelinovsky
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SHARCNET (Graduate Scholarship) grant (2003-2005)
"Fast computations of eigenvalues in spectral stability problems"
PI: Dmitry Pelinovsky (McMaster University)
Scholarship holder: Marina Chugunova (McMaster University)
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NSERC (Leadership Support Initiative) grant (2003-2007)
"Nonlinear partial differential equations and their applications"
PI: Walter Craig (McMaster University)
Co-Applicants: A.I. Nachman, M.C. Pugh, D.E. Pelinovsky, and C. Sulem
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CFI/OIT (New Opportunities) grants
"Computing infrastructure for mathematical research in fiber and photonic optics" (2002-2004)
"Operations and maintenance of the computing infrastructure" (2004-2006)
PI: Dmitry Pelinovsky (McMaster University)
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NSERC (Individual Research) grant (2001-2006)
"Theory and modeling of the periodic nonlinear Schrodinger equation"
PI: Dmitry Pelinovsky (McMaster University)
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Start-up grant (McMaster University) (2000-2003)
PI: Dmitry Pelinovsky (McMaster University)
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Other (minor) research programs were also supported in the past, such as
limited-term fellowships, workshop organizations and teaching grants. These
research activities are described as
Minor Research Grants.