The traditional treatment for anaplastic astrocytoma (AAF) and glioblastoma multiforme (GBM) leads to local relapse. The recurring element is assumed to be previously radioresistant, reorganizing hypoxic cells that require up to three times the traditional photon irradiation dose for inactivation. We are proposing to coagulate the original lesion with high-dose precision brachytherapy, immediately followed by resection to save the patient from secondary effects of the necrotic region. The treatment then continues with adjuvant external beam radiation therapy to the local surrounding brain and concomitant chemotherapy. The approach inverts the traditional regimen. It has the virtue of being precise, avoiding secondary effects of the necrotic tumor, and satisfying accepted radiobiological principles.