PARALLEL DIRECT COLLOCATION-BASED IMPLICIT RUNGE-KUTTA-NYSTRÖM METHODS WITH HIGH STABILITY
NGUYEN HUU CONG
In this paper, we study parallel iteration of predictor-corrector methods (parallel PC methods) with direct collocation-based implicit Runge-Kutta-Nyström-order ordinary differential equations (ODEs) on parallel computers. The parallel methods were constructed in order to achieve high stability. We will show that they are rather efficient for solving stiff initial-value problems.
Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội
Điện thoại: 024 37563474 - Fax: 024 37564303
Email: vientoan@math.ac.vn
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