Selected Publications

Bauer R.B. A Hybrid Adaptive ENO Scheme Developed an adaptive semi-conservative algorithm for computations for the solution of discontinuous PDEs. By maintaining an {\em optimal} computational grid for this method, computational times were greatly reduced. To appear in Journal of Computational Physics. [ Pre-Print ]
Bauer R.B. An Efficient Adaptive Grid ENO Scheme Developed an adaptive grid method applicable to cell-average ENO schemes. Proceedings of the Third International Conference on Spectral and High Order Methods `95. [ Re-Print ]
Bauer R.B. Band Pass Filters for Detecting Shocks Developed and analyzed a class of spectral filters which provide highly accurate estimates to multiple shock locations. These shock locations then are used in conjunction with Gegenbauer Polynomials to provide highly accurate reconstruction of discontinuous functions from Fourier coefficients. Submitted to SIAM Journal. [ Pre-Print ]