Ned Nedialkov
Professor
Department of Computing and Software
McMaster University
Hamilton, Ontario, L8S 4K1
CANADA
Phone 
19055259140, ext. 24161 
Fax 
19055240340 
Email 



Biography
Ned Nedialkov was born and raised in Bulgaria. He received M.Sc. (1995) and Ph.D. (1999) degrees in Computer Science at the University of Toronto, and has been with the Department of Computing and Software at McMaster University since 1999. He was a longterm visitor during the Thematic Year on Numerical and Computational Challenges in Science and Engineering at the Fields Institute 200102, spent a sabbatical year at the Center for Applied Scientific Computing at the Lawrence Livermore National Laboratory in 200506, and was a guest of the Arénaire project at École Normale Supérieure de Lyon in the summer of 2008.
His research is in the general area of scientific computing and mathematical software with emphasis on interval numerical methods for differential equations and numerical methods for differentialalgebraic equations. He is the author of the VNODE and VNODELP packages for computing rigorous bounds on solutions in initialvalue problems for ordinary differential equations, and the DAETS package for solving highindex differential algebraic equations.
Ph.D. and M.Sc. positions
I am seeking candidates for two industriallyfunded Ph.D. positions.
The research will be on mixedprecision numerical algorithms
and highperformance computing to accelerate the performance of
various solvers. Strong computational background and C++ skills are required.
Also, I am seeking M.Sc. candidates with strong C++ skills and background in computer science, applied math,
physics,
or mechanical engineering.
Software
Selected Publications
 J. D. Pryce and N. S. Nedialkov. Data, Lagrangian, Action! Simulating mechanisms direct from a text file.
PDF
 J. D. Pryce, N. S. Nedialkov and G. Tan. DAESA — a Matlab Tool for Structural Analysis of DifferentialAlgebraic Equations: Theory.
ACM TOMS 41(2), 9:19:20, 2015
 N. S. Nedialkov, J. D. Pryce, and G. Tan.
Algorithm 948: DAESA—A Matlab Tool for Structural Analysis of DifferentialAlgebraic Equations: Software. ACM TOMS, 41(2) 12:112:14, 2015
 N. S. Nedialkov. Implementing a Rigorous ODE Solver through Literate Programming.
Modeling, Design, and Simulation of Systems with Uncertainties. Springer, 319, 2011
 N. S. Nedialkov and J. D. Pryce. Solving DifferentialAlgebraic Equations by Taylor Series (I): Computing Taylor Coefficients. BIT 45(3), 561591, 2005.
 N. S. Nedialkov and J. D. Pryce. Solving DifferentialAlgebraic Equations by Taylor Series (II): Computing the System Jacobian. BIT 47(1), 121135, 2007.
 N. S. Nedialkov and J. D. Pryce. Solving DifferentialAlgebraic Equations by Taylor Series (III): the DAETS Code. J. Numerical Analysis, Industrial and Applied Mathematics, 3, 6180, 2008.
 N. S. Nedialkov and K. R. Jackson. A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations. In A. Facius, U. Kulisch,
and R. Lohner, editors, Perspectives on Enclosure Methods, 219–264, SpringerVerlag,
Vienna, Austria, 2001.
 N. S. Nedialkov, K. R. Jackson and G. F. Corliss.Validated Solutions of Initial Value Problems for Ordinary Differential Equations. Applied Mathematics and Computation, 105(1), 2168, 1999.
Miscellaneous
OpenACC notes