The project supported by the National Natural Science Foundation of China
In this paper, for general linear methods applied to strictly dissipative initial value problem in Hilbert spaces, we prove that algebraic stability implies B-convergence, which extends and improves the existing resul...
Based on the efficient hybrid methods for solving initial value problems of stiff ODEs, this paper derives a parallel scheme that can be used to solve the problems on parallel computers with N processors, and discusse...
national natural science foundation ; natural science foundation of Gansu province.
In this paper, based on the implicit Runge-Kutta(IRK) methods, we derive a class of parallel scheme that can be implemented on the parallel computers with Ns(N is a positive even number) processors efficiently, and di...
Project supported by the National Natural Science Foundation of China.
The theory of B-convergence for general linear methods is extended to general nonlinear muhivalue methods and to nonlinear stiff problems in Banach spaces. Moreover, using the extended theory, a class of high-order B-...