The center intends to develop general and efficient methodologies for the theoretical and numerical solution of initial-boundary value problems arising from mathematical models in continuum mechanics, physics, and finance. The results of this research will be disseminated through books, articles published in learned journals, and conference presentations.
- Christian Constanda, Director
- Dale Doty, Associate Director for Software Development
- William Hamill, Associate Director for Planning
- Shirley Pomeranz, Associate Director for Publicity
- Matteo Dalla Riva, Associate Director for International Relations
- C. Constanda: A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation, Longman-Wiley, Harlow-New York, 1990.
- C. Constanda: Direct and Indirect Boundary Integral Equation Methods, Chapman & Hall/CRC, Boca Raton, FL, 1999.
- I. Chudinovich and C. Constanda: Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation, Chapman & Hall/CRC, Boca Raton, FL, 2002.
- I. Chudinovich and C. Constanda: Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes, Springer, London, 2004.
- S. Pomeranz, G. Lewis, and C. Constanda: Iterative solution of a singular convection-diffusion perturbation problem, J. Appl. Math. Phys. 56 (2005), 890-907.
- I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Dual methods for sensor testing of industrial containers. II. A nonclassical approach, in Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 74-76.
- I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Nonclassical dual methods in equilibrium problems for thin elastic plates, Quart. J. Mech. Appl. Math. 59 (2006), 125-137.
- I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: On a boundary value problem for the plane deformation of a thin plate on an elastic foundation, in Proceedings of the Thirteenth International Symposium on Methods of Discrete Singularities in Problems of Mathematical Physics, Khar'kov-Kherson, 2007, pp. 358-361.
- I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: The Dirichlet problem for the plane deformation of a thin plate on an elastic foundation, in Integral Methods in Science and Engineering: Techniques and Applications, Birkhäuser, Boston, 2008, pp. 83-88.
- I. Chudinovich, C. Constanda, D. Doty, W. Hamill, and S. Pomeranz: The Dirichlet problem for a plate on an elastic foundation, Libertas Math. 30 (2010), 81-84.
- I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Solution estimates in classical bending of plates, in Integral Methods in Science and Engineering, vol. 2: Computational Methods, Birkhäuser, Boston, 2010, pp. 113-120.
- G.R. Thomson and C. Constanda: The direct method for harmonic oscillations of elastic plates with Robin boundary conditions, Math. Mech. Solids 16 (2010), 200-207.
- G.R. Thomson and C. Constanda: Stationary Oscillations of Elastic Plates. A Boundary Integral Equation Analysis, Birkhäuser, Boston, 2011.
- I. Chudinovich, C. Constanda, D. Doty, and A. Koshchii: Bilateral estimates for the solutions of boundary value problems in Kirchhoff's theory of thin plates, Applicable Anal. 91 (2012), 1661-1674.
- G.R. Thomson and C. Constanda: The null-field equations for flexural oscillations of elastic plates, Math. Methods Appl. Sci. 35 (2012), 510-519.
- G.R. Thomson and C. Constanda: Integral equations of the first kind in the theory of oscillating plates, Applicable Anal. 91 (2012), 2235-2244.
- G.R. Thomson and C. Constanda: The transmission problem for harmonic oscillations of thin plates, IMA J. Appl. Math. 78 (2013), 132-145.
- C. Constanda: Mathematical Methods for Elastic Plates, Springer, London, 2014.
- C. Constanda, D. Doty, and W. Hamill: Bending of Plates on an Elastic Foundation, Springer, New York, 2017.
- M. Dalla Riva and P. Musolino: A mixed problem for the Laplace operator in a domain with moderately close holes, Comm. Partial Diff. Equations 41 (2016), 812-837.
- M. Costabel, M. Dauge, M. Dalla Riva, and P. Musolino: Converging expansions for Lipschitz self-similar perforations of a plane sector, Integral Equations Operator Theory 88 (2017), 401-449.
- O. Bernardi and M. Dalla Riva: Analytic dependence on parameters for Evans' approximated weak KAM solutions, Discr. Continuous Dynamical Syst. 37 (2017), 4625-4636.
