PET 519E - Advanced Engineering Mathematics

Course Objectives

The main objective of this course is to acquaint the PNGE graduate
students with advanced level engineering mathematics so that they
can formulate, apply, and solve the physical problems of interest by
use of both advanced level analytical and numerical methods of
engineering (or applied)
mathematics.

Course Description

Mathematical preliminaries (vector/matrix calculus, ordinary and partial differential equations); Mathematical modeling of problems interest to petroleum and natural gas engineering and basic modeling equations (continuity, diffusion, convection and dispersion equations for both single and multi phase flow); Separation of variables for solving 1-D, 2-D and 3-D partial differential equations (PDE's), Fourier and Laplace transformation methods for solving 1-D, 2-D and 3-D PDE's; An introduction to numerical methods (finite differences) for solving 1-D, 2-D and 3-D flow problems; Linear and nonlinear parameter estimation (least squares and least absolute value).