Arts & Sciences Program

Faculty & Staff

Dr. Ryan I. Fernandes Associate Professor of Mathematics Email: rfernandes@pi.ac.ae Phone: +971 2 607 5274 Office: 4021 (Umm Shaif)

Academic Qualifications

• Ph.D., Mathematics, University of Kentucky, Lexington KY, USA, 1991
• Dipl. in Higher Education (DHE), University of Bombay, India, 1983
• M.Sc., Mathematics, University of Bombay, India, 1981
• B.Sc., Mathematics & Physics, University of Bombay, India, 1979

Work Experience

2006 to now	Associate Professor of Mathematics, Petroleum Institute, Abu Dhabi, UAE
2005 to 2006	Assistant Teacher, Sacred Heart Girls College, Hamilton, New Zealand
2004 to 2005	Visiting Professor, Colorado School of Mines, Golden CO, USA
1996 to 2004	Senior Lecturer, St. Xavier’s College, Goa, India
1993 to 1996	Assistant Professor, Mississippi State University, USA
1991 to 1993	Post Doctoral Research Associate, University of Kentucky, Lexington KY, USA
1984 to 1991	Teaching/Research Assistant, University of Kentucky, Lexington KY, USA
1981 to 1984	Grade I Teacher, St. Xavier’s Higher Secondary School, Goa, India
1979 to 1981	Assistant Teacher, Don Bosco High School, Goa, India

Research Interests

Numerical Analysis and Scientific Computing

Numerical Solution of Differential Equations

Optimization & Operations Research

Recent Publications

1. Fernandes, R. I., Fairweather, G. (to appear). An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems, J. Comp. Physics.
2. Fernandes, R. I., Bialecki B., Fairweather, G. (2012). Alternating direction implicit orthogonal spline collocation methods for evolution equations, in Mathematical Modelling and Applications to Industrial Problems (MMIP–2011), M. J. Jacob and S. Panda, eds., Macmillan Publishers India Limited, 3-11.  
3. Pani, A., Fairweather, G., Fernandes, R. I.  (2010). ADI orthogonal spline collocation methods for parabolic partial integro-differential equations, IMA J of Num. Anal., 30, 248–276.
4. Bialecki, B., Fernandes, R. I. (2009). An alternating direction implicit backward differentiation orthogonal spline collocation method for linear variable coefficient parabolic equations, SIAM J. Numer. Anal., 47, 3429–3450.
5. Emamizadeh, B., Fernandes, R. I. (2009). A monotonicity result related to clamped triangular elastic membranes, AMO – Advanced Modeling and Optimization, 11, 247–252.