Ana Maria Soane Ph.D. Candidate Applied Mathematics Office: MP 238 Phone: 410-455-2968 E-mail: asoane@math.umbc.edu

Curriculum vitae

• PDF format

Teaching

• Spring 2007: Math 155, Elementary Calculus
  
  
• Teaching in past semesters

Research interests

• Partial differential equations, analysis and numerical methods

• Computational fluid dynamics
  
  In a joint work with Dr. Rouben Rostamian we are developing theory and numerical software for a C¹ finite element solver for the Navier-Stokes equations of fluid dynamics. Details…

• Scientific computing, parallel computing

Publications

1. Ana Maria Soane and Rouben Rostamian. Variational problems in weighted Sobolev spaces on non-smooth domains. Submitted to SIAM Journal on Mathematical Analysis.
   
2. Rouben Rostamian and Ana Maria Soane. Incompressible Fluid Flow and C¹ Finite Elements. Book, in preparation.
   
3. Ana Maria Soane and Rouben Rostamian. Free boundary problems in fluid mechanics. In Susan Friedlander, Barbara Keyfitz, Irene Gamba, and Krystyna Kuperberg, editors, Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik. Proceedings of an MSRI conference, May 2006, Berkeley. (To appear).
   
4. Ana Maria Soane, Matthias K. Gobbert, and Thomas I. Seidman. Numerical exploration of a system of reaction-diffusion equations with internal and transient layers. Nonlinear Analysis: Real World Applications, vol. 6, no. 5, pp. 914--934, 2005.
   
5. Ana Maria Soane, Matthias K. Gobbert, and Thomas I. Seidman. Design of an effective numerical method for a reaction-diffusion system with internal and transient layers. IMA Preprint Series # 2006, November 2004.