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.
PhD positions
I have two industriallyfunded PhD positions. The research will
be on mixedprecision numerical algorithms and highperformance
computing to accelerate the performance of various solvers. A substantial component of the work is the
implementation of such algorithms and incorporating them into industrialstrength codes. I seek candidates with a
strong background in applied mathematics and computing. Experience in C/C++, software design and development,
software optimizations for highperformance, and writing parallel programs is highly desirable.
Software
Teaching
Winter 2023
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