A long-standing area of materials science research has been the study of electrostatic, magnetic, and elastic fields in composites with densely packed inclusions whose material properties differ markedly from that of the background. While powerful tools exist for dilute suspensions, accurate calculations in the close-to-touching case have been carried out largely by asymptotic methods and only ...

We present a high performance Cholesky factorization algorithm , called BPC for Blocked Packed Cholesky, which performs better or equivalent to the LAPACK DPOTRF subroutine, but with about the same memory requirements as the LAPACK DPPTRF subroutine, which runs at level 2 BLAS speed. Algorithm BPC only calls DGEMM and level 3 kernel routines. It combines a recursive algorithm with blocking and ...

Inverse melting is the phenomenon, observed in both helium isotopes, by which a crystal melts when cooled at constant pressure. I investigate discrete-space analogs of inverse melting by means of two instances of a triangular-lattice-gas system endowed with a soft-core repulsion and a short-ranged attraction. To reconstruct the phase diagram, I use both transfer-matrix and Monte Carlo methods, ...