A Rational Function Approximation for the Integration Point in Exponentially Weighted Finite Element Methods
AIR FORCE OCCUPATIONAL MEASUREMENT CENTER RANDOLPH AFB TX
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A rational function is presented for approximating the function fz coth z - 1z that appears in several exponentially fitted or weighted finite difference and finite element methods for convection-diffusion problems. The approximation is less expensive to evaluate than fz and provides greater accuracy than the doubly asymptotic approximation when z 01.
- Statistics and Probability