OUTLINE: This is an open label, multicenter study. Patients receive epirubicin IV over 15 minutes and paclitaxel IV over 3 hours on day 1, then filgrastim (G-CSF) subcutaneously (SQ) on days 5-14. Peripheral blood stem cells (PBSC) are collected on days 13 and 14. This course is repeated beginning on day 15. Patients then undergo a three part intensification regimen. Part I: Patients receive cyclophosphamide IV and thiotepa IV by continuous infusion on days 34 and 35. PBSC are reinfused on day 38, and G-CSF SQ is administered from day 39 until blood cell counts recover. Part II: Patients receive etoposide IV over 2 hours, ifosfamide IV over 4 hours, and carboplatin IV over 6 hours on days 62-66. PBSC are reinfused on day 70, and eventually G-CSF begins on day 71. Part III: Patients receive etoposide, ifosfamide, and carboplatin on days 90-94 as in part II. PBSC are reinfused on day 98 and eventually G-CSF begins on day 99. Patients are followed every month for the first year, every 2 months for the second year, every 6 months for the third and fourth years, then annually thereafter.