Overview
- Describes recent developments in the field of research on differential equations
- Shows researchers how to design and analyze numerical methods for solving new problems
- Helps readers construct numerical methods to address different classes of problems with solutions of different behaviors
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 172)
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Table of contents (9 papers)
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Invited Papers
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Contributed Papers
Keywords
About this book
Editors and Affiliations
About the editors
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.
Ramanujam Narasimhan is an honorary professor of mathematics at Bharathidasan University, Tiruchirappalli, Tamil Nadu. He worked under the guidance of Dr. U.N. Srivastava and got his PhD degree from the Indian Institute of Technology Madras. His research interests include differential equations and numerical analysis. He has published over 85 papers in various international journals and has guided 11 students in their doctoral studies. He has been teaching various courses such as ordinary differential equations, partial differential equations, numerical analysis, functional analysis, fluid dynamics, computer programming, real analysis, integral equations and calculus of variations. He has served in many responsible positions including the vice-chanceller (in-charge) of Bharathidasan University.
Paramasivam Mathiyazhagan is assistant professor of mathematics at Bishop Heber College, Tiruchirappalli, Tamil Naud. He got his PhD from BharathidasanUniversity in 2013. His research interests include numerical analysis and boundary layer theory. He has worked on the multi-scale reaction-diffusion problems and has published articles in reputed international journals. He has been teaching various courses such as partial differential equations, functional analysis, fluid dynamics and computer programming. Apart from mathematics, he is a brilliant cricketer who played for the university during his college days.
Franklin Victor is assistant professor of mathematics at Bishop Heber College, Tiruchirapalli, Tamil Nadu. He completed his doctoral studies in numerical methods for solving singularly perturbed partial differential equations of parabolic type. Recently, he got interest in delay differential equations and is currently working on numerical methods to solve singularly perturbed delay differential equations. His other research interests are mathematics of finance and Black–Scholes equations. He has been teaching various courses such as mathematical analysis, ordinary differential equations and partial differential equations. Besides mathematics, he is a talented musician. He is a reputed choral arranger and a conductor of various ensembles of his region.
Bibliographic Information
Book Title: Differential Equations and Numerical Analysis
Book Subtitle: Tiruchirappalli, India, January 2015
Editors: Valarmathi Sigamani, John J. H. Miller, Ramanujam Narasimhan, Paramasivam Mathiazhagan, Franklin Victor
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-81-322-3598-9
Publisher: Springer New Delhi
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer India 2016
Hardcover ISBN: 978-81-322-3596-5Published: 18 August 2016
Softcover ISBN: 978-81-322-3862-1Published: 15 June 2018
eBook ISBN: 978-81-322-3598-9Published: 17 August 2016
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XI, 165
Number of Illustrations: 21 b/w illustrations
Topics: Ordinary Differential Equations, Partial Differential Equations, Applications of Mathematics, Computational Science and Engineering, Numerical Analysis