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 long-term visitor during the Thematic Year on Numerical and Computational Challenges in Science and Engineering at the Fields Institute 2001-02, spent a sabbatical year at the Center for Applied Scientific Computing at the Lawrence Livermore National Laboratory in 2005-06, 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 differential-algebraic equations. He is the author of the VNODE and VNODE-LP packages for computing rigorous bounds on solutions in initial-value problems for ordinary differential equations, and the DAETS package for solving high-index differential algebraic equations.

Software

• VNODE-LP
• DAETS
• DAESA

Teaching 2014

• Distributed Computer Systems PDF HTML.
• Machine-Level Computer Programming PDF HTML

Selected Publications

• N. S. Nedialkov, G. Tan, and J. D. Pryce. Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems. Tech. Report CAS-14-08-NN, Dept. of Computing and Sofware, McMaster University, 2014  PDF
• J. D. Pryce, N. S. Nedialkov, and G. Tan. Graph Theory, Irreducibility, and Structural Analysis of Differential-Algebraic Equation Systems. Tech. Report CAS-14-09-NN, Dept. of Computing and Sofware, McMaster University, 2014  PDF
• J. D. Pryce, N. S. Nedialkov and G. Tan. DAESA — a Matlab Tool for Structural Analysis of Differential-Algebraic Equations: Theory. To appear in ACM TOMS
• N. S. Nedialkov, J. D. Pryce, and G. Tan. DAESA — a Matlab Tool for Structural Analysis of Differential-Algebraic Equations: Software. To appear in ACM TOMS
• N. S. Nedialkov. Implementing a Rigorous ODE Solver through Literate Programming. Modeling, Design, and Simulation of Systems with Uncertainties. Springer, 3-19, 2011
• N. S. Nedialkov and J. D. Pryce. Solving Differential-Algebraic Equations by Taylor Series (I): Computing Taylor Coefficients. BIT 45(3), 561-591, 2005.
• N. S. Nedialkov and J. D. Pryce. Solving Differential-Algebraic Equations by Taylor Series (II): Computing the System Jacobian. BIT 47(1), 121-135, 2007.
• N. S. Nedialkov and J. D. Pryce. Solving Differential-Algebraic Equations by Taylor Series (III): the DAETS Code. J. Numerical Analysis, Industrial and Applied Mathematics, 3, 61-80, 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, Springer-Verlag, 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), 21-68, 1999.