The Tricomi equation can be expressed in symmetric positive form. Admissible boundary conditions assure existence and uniqueness of solutions. In this paper it is shown what boundary conditions are ...

SIAM Journal on Numerical Analysis, Vol. 36, No. 3 (Mar. - May, 1999), pp. 935-952 (18 pages) A family of explicit space-time finite element methods for the initial boundary value problem for linear, ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...