On Two Ways of Stabilizing the Hierarchical Basis Multilevel Methods
A survey of two approaches for stabilizing the hierarchical basis (HB) multilevel preconditioners, both additive and multiplicative, is presented. The first approach is based on the algebraic extensi...
A survey of two approaches for stabilizing the hierarchical basis (HB) multilevel preconditioners, both additive and multiplicative, is presented. The first approach is based on the algebraic extensi...
New Conservation Laws for the Interaction of Nonlinear Waves
Recently, unexpected conservation laws have been discovered for various nonlinear wave systems. Among these systems is the system of Rossby waves, which describes the global dynamics of the atmospher...
Recently, unexpected conservation laws have been discovered for various nonlinear wave systems. Among these systems is the system of Rossby waves, which describes the global dynamics of the atmospher...
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The Mathematics of the Pentium Division Bug
SIAM Rev. Volume 39, Issue 1, pp. 54-67 (1997)
Issue Date: 1997
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Despite all of the publicity surrounding the Pentium bug of 1994, the mathematical details of the bug are poorly understood. We discuss these details and supply a new proof of the Coe--Tang result that the at-risk divisors have six consecutive ones in positions 5 through 10. Also, we prove that the worst-case absolute error for arguments in [1,2) is on the order of 1e--5.
©1997 Society for Industrial and Applied Mathematics| Permalink: | http://dx.doi.org/10.1137/S0036144595293959 |
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0036-1445 (print)
1095-7200 (online)
SIAM