S. M. Roberts

IBM (United States) — United States

Mathematics · Physical Sciences

17h-index1.2kcitations54works0.02yr avg
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Research Topics

Numerical methods for differential equations(23), Differential Equations and Numerical Methods(13), Matrix Theory and Algorithms(12), Differential Equations and Boundary Problems(11), Numerical methods in engineering(4)

Publications54 total

Automaton: an autonomous coverage-based multiprocessor system verification environment
2002· 15 cited
Discussion of "Space-Time Conservation Method Applied to Saint Venant Equations"
1999· 10 cited
A toolset for assisted formal verification
1999· 3 cited
Further examples of the boundary value technique in singular perturbation problems
Journal of Mathematical Analysis and Applications·1988· 20 cited
An incidence-matrix-driven panel system for the IBM PC
IBM Systems Journal·1987· 3 cited
On the solution of ?y?=y 3
Journal of Optimization Theory and Applications·1986· 2 cited
An approach to singular perturbation problems insoluble by asymptotic methods
Journal of Optimization Theory and Applications·1986· 4 cited
Partitioning of invariant imbedding systems
Journal of Mathematical Analysis and Applications·1984
Solution of ?Y?+YY??Y=0 by a nonasymptotic method
Journal of Optimization Theory and Applications·1984· 14 cited
The analytical and approximate solutions of ϵy″ = yy′
Journal of Mathematical Analysis and Applications·1983· 12 cited
Boundary conditions of the second-order differential equation and the Riccati equation
Journal of Optimization Theory and Applications·1983
Minimum problem-size formulation for the scheduling of plant maintenance personnel
Journal of Optimization Theory and Applications·1983· 18 cited
Scheduling of plant maintenance personnel
Journal of Optimization Theory and Applications·1983· 22 cited
A boundary value technique for singular perturbation problems
Journal of Mathematical Analysis and Applications·1982· 85 cited
A proof of the continuation and variational perturbation method
Journal of Mathematical Analysis and Applications·1981· 1 cited
Continuation and the variational perturbation method
Journal of Mathematical Analysis and Applications·1981· 2 cited
Variational perturbation method and power-series approximation method
Journal of Optimization Theory and Applications·1980· 6 cited
Multidimensional Kagiwada-Kalaba method of invariant imbedding with general linear implicit boundary conditions
Journal of Mathematical Analysis and Applications·1980
Reduction and the Kagiwada-Kalaba method of invariant imbedding
Journal of Mathematical Analysis and Applications·1979· 2 cited
Direct use of the fundamental matrix in two-point boundary value problems
Journal of Mathematical Analysis and Applications·1979· 3 cited
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Frequent Co-authors

J. S. Shipman(22), Benito Flores(3), Laureano F. Escudero(2), N. Malik(2), Rick Dobson(2), L. F. Shampine(1), H. I. Lyvers(1), C. V. Roth(1), William J. Ellis(1), A. Pita(1), Christopher Zoppou(1), Alan Andrew(1), Robert F. Sweeny(1), Robert S. Davis(1), Leon Lapidus(1), Edward. Sax(1), P. Halpern(1), Laura Torres López(1), J. Baumgartner(1), J. W. Lane(1)