Ramesh Karki
Assistant Professor of Mathematics
Whitewater Hall 200D
765-973-8251
rkarki@iue.edu
Education
- PhD in Mathematics, 2015, University of Toledo
- M. A. in Mathematics, 2010, University of Toledo
Current Research Interests
- Partial Differential Equations (including Pseudo-differential Equations)
- Dynamical Systems
- Scholarship in Teaching and Learning
Peer Reviewed Publications
- R. Aceska, A. Arsie, R. Karki, On near-optimal time sampling for initial data best approximation, Le Matematiche (Catania) 74 (2019), Number 1, 173-190, May 2019
- R. Karki, Sobolev Gradients & Application to Nonlinear Pseudo-differential Equations, Neural, Parallel & Scientific Computations, Vol 22 (2014), Number 3, 359-373, September 2014
Submitted manuscripts
- R. Karki, On Approximating Initial Data in Some Linear Evolution Equations Involving Fractional Laplacian, Analysis and Applications, December 2019
- R. Karki, Y. You, Fractional Order Semilinear Equations Using Variational Method, Mathematics in Applied Sciences and Applications, December 2019
Selected Presentations
- R. Karki, Solutions to Fractional Order Semi-linear Equations Using Variational Method, International Conference on Applications of Mathematics to Nonlinear Sciences, 2019 Pokhara, Nepal
- R. Karki, A finite sampling method for approximating initial data in some evolutionary equations, The Ninth Ohio River Analysis Meetings 2019, University of Cincinnati
- R. Karki, A finite sampling method for approximating initial data in some evolutionary equations, Joint Mathematics Meeting 2019, Baltimore
- R. Karki, Optimal approximation of initial data in some evolutionary PDEs via finite discrete sampling, Joint Mathematics Meetings 2019, San Diego
- R. Karki, Approximation of solutions of non-linear PDEs from finitely many samples, AMS Spring Central Meeting 2017, Indiana University Bloomington
- R. Karki, A Variational Type Method for Solving Nonlinear Pseudo-differential Equations, Fall 2015 Meeting of Indiana Section of MAA, Purdue University North Central
- R. Karki, The Sobolev Gradients and Applications to Pseudo-differential Equations, Joint Mathematics Meetings 2015, San Antonio
- R. Karki, The L2-gradient & Applications to Nonlinear Pseudo-differential Equations, Fall 2014 Meeting of Indiana Section of MAA, Trine University