Location:
Bowdoin
/
Adam Levy

Professor of Mathematics

Chair of Mathematics Department

alevy@bowdoin.edu

207-725-3564

Mathematics

203 Searles Science Building

- Multivariate Calculus (MATH 1800A)
- Partial Differential Equations (MATH 3209)

- B.A. (Williams)
- Ph.D. (Washington)

- Applied Mathematics, Optimization, Variational Analysis, Control Theory

- Optimization, Optimal Control, Differential Equations, Dynamical Systems, Numerical Analysis, Linear Algebra

- Hull-Volume with applications to convergence analysis in
*Journal of Optimization Theory*and Applications**153**(2012), no. 3, 1--17. - Constraint Incorporation in Optimization in
*Mathematical Programming, Series A***110**(2007), no. 3, 615--639. - Supercalm multifunctions for convergence analysis in
*Set-Valued Anal.***14**(2006), no. 3, 249--261. - Convergence of successive approximation methods with parameter target sets in
*Math. Oper. Res.***30**(2005), no. 3, 765--784. - A generic algorithm for solving inclusions in
*SIAM Journal on Optimization***15**(2005), 430--455. - Coderivatives in parametric optimization (with Boris S. Mordukhovich) in
*Math. Program., Ser. A***99**(2004), 311--327

Optimization Textbook: | Research Monograph: |

- Stationarity and convergence in reduce-or-retreat minimization. Springer Briefs in Optimization.
*Springer, New York,*2012. - Hull-Volume with applications to convergence analysis in
*Journal of Optimization Theory and Applications***153**(2012), no. 3, 633--649. - Constraint Incorporation in Optimization in
*Mathematical Programming, Series A***110**(2007), no. 3, 615--639. - Supercalm multifunctions for convergence analysis in
*Set-Valued Anal.***14**(2006), no. 3, 249--261. - Convergence of successive approximation methods with parameter target sets in
*Math. Oper. Res.***30**(2005), no. 3, 765--784. - A generic algorithm for solving inclusions in
*SIAM Journal on Optimization***15**(2005), 430--455. - Coderivatives in parametric optimization (with Boris S. Mordukhovich) in
*Math. Program., Ser. A***99**(2004), 311--327 - Scaled stability in variational problems in
*SIAM Journal on Optimization.***12**(2002), 861--874. - Solution sensitivity from general principles in
*SIAM Journal on Control and Optimization,***40**(2001), 1--38. - Second-order epi-derivatives of composite functionals in
*Annals of Operations Research,***101**(2001), 267--281. - Lipschitzian multifunctions and a Lipschitzian inverse mapping theorem in
*Mathematics of Operations Research,***26**(2001), 105--118. - Calm minima in parameterized finite-dimensional optimization in
*SIAM Journal on Optimization,***11**(2000), 160--178. - Stability of locally optimal solutions (with R. Poliquin and R.T. Rockafellar) in
*SIAM Journal on Optimization,***10**(2000), 580-604. - Sensitivity of solutions to variational inequalities on Banach spaces in
*SIAM Journal on Control and Optimization,***38**(1999), 50-60. - Nonsingularity conditions for multifunctions in
*Set-Valued Analysis,***7**(1999), 89-99. - Stability of solutions to parameterized nonlinear complementarity problems in
*Mathematical Programming,***85**(1999), 397-406. - Convex composite functions in Banach spaces and the primal lower-nice property (with C. Combari, A. Elhilali Alaoui, R. Poliquin, and L. Thibault) in
*Proceedings of the American Mathematical Society*,**126**(1998), 3701-3708. - Characterizing the single-valuedness of multifunctions (with R. Poliquin) in
*Set-vlaued Analysis,***5**(1997), 351-364. - Implicit multifunction theorems for the sensitivity analysis of variational conditions in
*Mathematical Programming*,**74**(1996), 333-350.*Errata* - Proto-derivatives and the geometry of solution mappings in nonlinear programming (with R. T. Rockafellar) in
*Nonlinear Optimization and Applications*, pages 343-365. Plenum, 1996. - Variational conditions and the proto-differentiation of partial subgradient mappings (with R. T. Rockafellar) in
*Nonlinear Analysis, Theory, Methods, and Applications*,**26**(1995), 1951-1964. - Sensitivity of solutions in nonlinear programming problems with nonunique multipliers (with R. T. Rockafellar), in D.-Z. Du, L. Qi, and R.S. Womersley, editors,
*Recent Advances in Nonsmooth Optimization*, pages 215-223. World Scientific, 1995. - Partial extensions of Attouch's theorem with application to proto-differentiability of subgradient mappings (with R. Poliquin and L. Thibault) in
*Transactions of the American Mathematical Society*,**347**(1995), 1269-1294. - Sensitivity analysis of solutions to generalized equations (with R. T. Rockafellar) in
*Transactions of the American Mathematical Society*,**345**(1994), 661-671. - Second-order epi-derivatives of integral functionals in
*Set-Valued Analysis*,**1**(1993), 379-392.