This is a big, fat, talky introduction to PDE for pure mathematicians. It slights some theoretical topics (Fourier transforms and distributions) in favor of an unusually full treatment of nonlinear ...

Abstract: One big change that has happened in differential equations is the use of new computer methods to solve hard problems. The growth of differential equations has been helped by this effect. If ...

Abstract: Generally, differential equations are the backbone of various physical systems occurring in a wide variety of disciplines viz. physics, chemistry, biology, economics, and engineering. These ...

I am looking for a textbook on advanced differential equations. I know the basic stuff (took a one-semester course), and I can do some basic PDEs as well, but I am interested in learning more theory, ...

Continuation of APPM 5470. Advanced study of the properties and solutions of elliptic, parabolic, and hyperbolic partial differential equations. Topics include the study of Sobolev spaces and ...

This course focuses on first and second-order partial differential equations, with examples and applications from selected fields such as physics, engineering and biology. Topics may include the wave ...

For the initial value problem associated with second order advanced differential equation on Banach space, it is constructed a numerical method to approximate the solution. The method uses the ...

ABSTRACT: Mathematical models based on advanced differential equations are utilized to analyze the glucose-insulin regulatory system, and how it affects the detection of Type I and Type II diabetes.

I just read a very insightful NY Times article entitled The Wrong Way to Teach Math by Andrew Hacker, a Professor Emeritus at Queens College in NY. Hacker teaches political science and mathematics and ...

ABSTRACT: Mathematical models based on advanced differential equations are utilized to analyze the glucose-insulin regulatory system, and how it affects the detection of Type I and Type II diabetes.