Curriculum Vitae

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Address            Department of Mathematics
                          University of Colorado at Colorado Springs
                         1420 Austin Bluffs Parkway
                         Colorado Springs, CO 80918
Telephone       719-255-3759
Email               rcascava@uccs.edu
Website            http://www.uccs.edu/rcascava
           
Professional Experience
2010 – present   Associate Professor of Mathematics, University of Colorado at Colorado Springs
2003 – 2010      Assistant Professor of Mathematics, University of Colorado at Colorado Springs
2000 – 2003      Postdoctoral Fellow, Dept of Mathematics, University of Missouri - Columbia,
1996 – 2000      Research and Teaching Assistant, Dept of Mathematics, University of Memphis
1995 – 1996      Graduate Teaching Assistant, Dept of Mathematics, Louisiana State University

Education
2000 – 2003    Postdoc       University of Missouri at Columbia, Department of Mathematics
1996 – 2000    MS, PhD    The University of Memphis, Memphis, Tennessee
Thesis: Global well-posedness for a class of nonlinear dispersive equations,
1995 - 1996     MS                 Louisiana State University, Baton Rouge, Louisiana
                                              (transferred to University of Memphis in May 2006)
1990 – 1995    BS                 University of Iasi, Romania (Diploma with Honors) 
 Thesis: Inertial manifolds for a class of partial differential equations


Research Interests
                - nonlinear wave propagation
                - mathematical physiology
                - integrable systems and application
                - complex networks


Recent Publications

• Radu C. Cascaval: “A Boussinesq model for pressure and flow velocity waves in arterial segments”, Math. Comput. Simul. Vol 8(2012), No. 6, pp 1047–1055
• Radu C. Cascaval, C. Travis Hunter: “Linear and nonlinear Schrödinger equations on simple networks”, in Libertas Math., Vol 30 (2010), pp 85-98
• Jerry L. Bona, Radu C. Cascaval: “Nonlinear dispersive waves on trees”, in Canadian Applied Mathematics Quarterly, Vol 16 (2008), No 1, pp 113–121
• Radu C. Cascaval, Kethera A. Fogler, Gene D. Abrams, Robert L. Durham: “Evaluating the benefits of online archives for in-class students in Math courses”, in J. of Asynchronous Learning Networks, Vol 12 (2008), No 3, pp 113–121
• Radu C. Cascaval, Fritz Gesztesy: “J-self-adjointness for a class of Dirac-type operators”, in J. Math. Anal. Appl. 294 (2004), pp 113–121
• Radu C. Cascaval: “Local and global well-posedness for a class of nonlinear dispersive equation”, in Advances in Differential Equations, 9 (2004), no. 1/2, pp 85–132
• Radu C. Cascaval, Fritz Gesztesy, Helge Holden, Yuri Latushkin: “Spectral analysis of Darboux transformations for the focusing NLS hierarchy”, in Journal d’Analyse Mathematique, 93 (2004), pp 139-198
• Radu C. Cascaval: “Variable coefficient Korteweg-de Vries equations and wave propagation in elastic tubes”, in Lecture Notes in Pure and Applied Math., 234, Marcel Dekker, 2003, pp 57–69
• Radu C. Cascaval, Eugene C. Eckstein, Cicero L. Frota, Jerome A. Goldstein: “Fractional telegraph equations”, J. Math. Anal. Appl. 275 (2002), pp 145-159
• Radu C. Cascaval: “Global solutions for a class of dispersive equations”, in “Differential Equations and Control Theory”, S. Aizicovici, N. Pavel (ed.), Lecture Notes in Pure and Applied Math. 225, Marcel Dekker, 2001, pp 77–107

Awards

• CRCW Award 2009-2010: “Autoregulatory Control Mechanisms in the Cardiovascular System”, Graduate School, UCCS
• CRCW Award 2007-2008: “Analysis of Kinematic Effects during Sustained Exercise on the Human Cardiovascular System”, Graduate School, UCCS
• Presidents Teaching and Learning Collaborative 2006-2007, University of Colorado System, Co-PI
• SAAC Grant Award 2006-2007, Co-PI
• 2006 Service and Technology Development Award, EAS College, UCCS
• NSF Grant Award 2005-2006 (Co-PI), International Conference on Nonlinear Waves, Integrable Systems and Their Applications, June 4-8, 2005, UCCS and Boulder
• CRCW Award 2005-2006: “ Mathematical Modeling of Blood Flow in the Human Arterial System”, Graduate School, UCCS
• Colorado Institute of Technology Contract (Co-PI) ”External Counterpulsation and Compartment Model for Blood Flow” January - December 2005
• AMS Travel Award, ICM 2002, Beijing, China, August 2002
• AMS Summer Research Grant, Mt. Holyoke College, June 2001
• NSF Travel Award, Mathematical Challenges of the 21st Century, UCLA, August 2000
• AMS Travel Award, NAS Colloquium on Nonlinear PDEs, Irvine, CA, January 1999
• Van Vleet Memorial Doctoral Research Fellowship, The Graduate School, University of Memphis (two consecutive years 1997–1999)
• Diploma with Honors, “Al. I. Cuza” University, Iasi, Romania, June 1995