Ph.D Mathematics Fall / Spring Semester

Main Page > Quaid-e-Azam > Science > Institute of Mathematics > Ph.D Mathematics Fall / Spring Semester

Sobolev Gradients and Differential Equations (MATH-563)

Overview


Credit hours/ Marks:- 3 Cr.

1. Neuberger, J.W (2010). Sobolev Gradients and Differential Equations, Second Edition, Springer. 2. Kreyszig, E (1989). Introductory Functional Analysis with Applications, John Wiley & Sons. 3. Lu, J. (2022). Gradient Descent, Stochastic Optimization, and Other Tales, Amazon Digital Services LLC. 4. Sial, S. (2016). : Notes on Sobolev Gradients and Control Problems. 5. Otto, S.R. and Denier, J.P. (2005). An Introduction to Programming and Numerical Methods in Matlab, Springer.

Will be updated soon