Many physical and engineering problems when formulated in mathematical language give rise to partial differential equations. Besides these, partial differential equations also play an important role ...

In this chapter, we will discuss such geometrical and physical problems which lead to the differential equations of the first order and first degree. A summary of the fundamental principles required ...

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly ... Copious exercises are included, and applications of the theory are ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations ...

Under the hood, mathematical problems called partial differential equations (PDEs ... Among other applications, the framework ...