Preface -- Acknowledgments -- Contents -- Summary -- 1 Problem Definition and History -- 2 The Potential Impact of HECC in Astrophysics -- 3 The Potential Impact of HECC in the Atmospheric Sciences -- 4 The Potential Impact of HECC in Evolutionary Biology -- 5 The Potential Impact of HECC in Chemical Separations -- 6 Numerical and Algorithmic Characteristics of HECC That Will Be Required by the Selected Fields -- 7 Conclusions -- Appendix A: Biographical Sketches of Committee Members -- Appendix B: Agendas of Committee Meetings -- Appendix C: Glossary.