The Helmholtz equation, a cornerstone in mathematical physics, models wave propagation phenomena in acoustics, electromagnetism and seismic imaging. Its inherent computational challenges—particularly ...

The Boltzmann transport equation (BTE) serves as a fundamental model for describing the statistical behaviour of particles in a medium and finds applications across radiative transfer, neutron ...

A brief description of the methods used by the SYSLIN procedure follows. For more information on these methods, see the references at the end of this chapter. There are two fundamental methods of ...

SIAM Journal on Numerical Analysis, Vol. 46, No. 1 (2007/2008), pp. 344-364 (21 pages) New numerical techniques are presented for the solution of a class of linear partial integro-differential ...