1. Mesh free method for numerical solution of the eikonal equation;
2. A spline collection method for pricing options under the jump-diffusion model;
3. An ale-based finite element method for the simulation of an impinging droplet on a hot surface;
4. Multilevel augmentation method for parameter identification;
5. StaRMAP- a second order staggered grid method for radiative transfer: application in radiotherapy;
6. Exact controllability in domains with oscillating boundaries: homogenization;
7. AC0 interior penalty method for an optimal control problem governed by the biharmonic operator;
8. A multi-level finite element discretization for efficient solution of multidimensional population balance system;
9. Meshfree numerical scheme for time dependent problems in fluid and continuum mechanics;
10. On the wave equations of kirchhoff narasimha and carrier;
11. Micromechanical modeling on non linear behaviour of 1-3 type piezocomposite;
12. A meshfree approach for the numerical solution of straight fiber equations;
13. Finite pointset method (FPM) for gas flows in slip regime;
14. Comparison of RBF and hermite-RBF local schemes with variable (optimized) shape parameter;
15. On the construction of dual gabor frame generators;
16. Analysis of heatlines and entropy generation during natural convection within tilted square cavities;
17. Modeling heat flow through glass fibre insulators;
18. Evolutionary games and replicator dynamics;
19. Deterministic ordinary differential equation models in population ecology, with special reference to indirect mutualism;
20. Effect of surface piercing barriers on membrane- coupled gravity waves;
21. Evolution of a pre-lens tear film after a blink;
22. On enforcement of discrete maximum principle for coherence enhancing diffusion

This book on "Advances in PDE Modeling and Computation" is a collection of invited articles from active established researchers who are working in the area of PDE modeling and PDE computing.
There are 22 articles in this book given as Invited Talks at the International Workshop on PDE Modeling and Computation held at IIT Madras during October 21-25, 2013. These selected articles showcasing the importance and challenges of PDE based mathematical modeling, analysis and computing. Covering a wide spectrum of applications, this Book is aimed at Masters and Ph.D. students aspiring to take up some challenges. Each article is carefully written, self contained and supported with up to date references.