Christian Constanda, PhD
Bio
Engineers have proposed certain refined models to describe more accurately the phenomenon of bending of thin elastic plates, but have not investigated them in any great detail because of the mathematical difficulties involved. Christian Constanda's aim has been to identify these difficulties in the case of plates with transverse shear deformation and devise appropriate methods for resolving them under conditions of direct physical significance. This activity has led to the construction of both general theoretical formulas for the solution and to numerical algorithms that permit the computer implementation of the method. The work has covered a whole series of mathematical problems of considerable generality in a variety of areas, such as fundamental solutions for partial differential operators, mapping properties of singular integral operators, potential theory, complex variable functions, generalized Fourier series in Hilbert space, etc. The results of this ongoing research can be applied to many other problems in continuum mechanics.
Research Interests
Boundary Integral Methods
Mathematical Theory of Elasticity
Teaching Interests
Differential Equations
Partial Differential Equations
Applied Functional Analysis
Advanced Differential Equations
Publications

Constanda, Christian. Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques. Ed. Christian Constanda, B.E.J. Bodmann, and H.F. de Campos Velho. Birkhauser, 2013. Print.

Constanda, Christian. Differential Equations: A Primer for Scientists and Engineers. Springer, 2013. Print.

Constanda, Christian. Mathematical Methods for Elastic Plates. Springer, 2014. Print.

Integral Methods in Science and Engineering: Analytic and Numerical Advances, Birkhauser, New York, 2015 (editor, with A. Kirsch).

Constanda, C., Doty, D., Thomson, G. R., “Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates”, in Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques, Birkhauser, Boston, 2013, 311–328.

Constanda, Christian, and G.R. Thomson. “Modified Integral Equation Method for Stationary Plate Oscillations.” Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques. Birkhauser, 2013. 297–309. Print.

Constanda, Christian et al. “Bilateral Estimates for the Solutions of Boundary Value Problems in Kirchhoff’s Theory of Thin Plates.” Applicable Anal. 91 (2012): 1661–1674. Print.

Constanda, Christian, and G.R. Thomson. “The Transmission Problem for Harmonic Oscillations of Thin Plates.” IMA J. Appl. Math. 78 (2013): 132–145. Print.

The characteristic matrix of nonuniqueness for firstkind equations, in Integral Methods in Science and Engineering: Theoretical and Computational Advances, Birkhauser, New York, 2015, pp. 111118(with D. Doty).
Courses Taught
 Intro to Partial Differential Equations
 Introduction to Partial Differential Equations
 Seminar in Mathematics
 Advanced Differential Equations
 Independent Study
Awards & Honors
 Outstanding Teacher Award