Differential Equations and Numerical Analysis: Tiruchirappalli, India, January 2015 (Springer Proceedings in Mathematics & Statistics, Band 172) - Softcover

Valarmathi Sigamani is assistant professor at the Department of Mathematics at Bishop Heber College, Tiruchirappalli, Tamil Nadu, India. She did her doctoral studies in numerical analysis at Bharathidasan University, Tiruchirappalli, under the guidance of Prof. N. Ramanujam. She has been teaching algebra, analysis, topology, calculus of variations, computer programming and differential equations to undergraduate and postgraduate students of mathematics. She has published 20 research articles in various reputed international journals and has guided 5 students and guiding some more in their doctoral studies in singular perturbation problems and numerical analysis. Currently, she is working on the qualitative and quantitative analysis of singularly perturbed multi-scale dynamical systems and their applications in biology. She is a council member of the Institute of Numerical Computation and Analysis (INCA), Dublin, Ireland, and is a member in various mathematical societies.

John J.H. Miller is director of the Institute for Numerical Computation and Analysis (INCA), Dublin, and professor emeritus of mathematics at the Trinity College, Dublin. He obtained two undergraduate degrees at Trinity College, University of Dublin, Ireland: one in mathematics and the other in natural sciences. He then studied numerical analysis at the Massachusetts Institute of Technology under the supervision of Gilbert Strang, where he was awarded a PhD degree. His mathematical interests include power bounded matrices, the zeros of polynomials, numerical methods for modelling semiconductor devices, asymptotic and computational methods for problems exhibiting boundary and interior layers, data analysis of signals from neurons and, recently, the mathematical  modelling and construction of oscillating water column devices for generating electric power from ocean waves. He has written over 100 papers on these topics, as well as 3 research monographs.