Research our contributions to discovery
Hyperbolic heat conduction and wave propagation
Amongst a number of mathematical contributions to this field, mistakes were found in a recent paper claiming cloaking of hyperbolic heat waves. Research proudly performed on nights & weekends without expending any taxpayer funds.
Nonlinear acoustics (inviscid and thermoviscous) and shock formation
Amongst a number of accomplishments and contributions to this field, new weakly-nonlinear acoustic equations were derived for both lossless gasses and liquids, without suffering from the shortcomings of the approximations credited to Kuznetsov and Lighthill–Westervelt (though this attribution is somewhat incorrect).
Numerical methods for hyperbolic systems of conservation laws
Legacy project, now archived.
Wavelets and wavelet methods for signal processing and solution of PDEs
Legacy project, now archived.