Dual Schur method in time for nonlinear ODE
نویسنده
چکیده
We developed parallel time domain decomposition methods to solve systems of linear ordinary differential equations (ODEs) based on the Aitken-Schwarz [5] or primal Schur complement domain decomposition methods [4]. The methods require the transformation of the initial value problem in time defined on ]0,T ] into a time boundary values problem. Let f (t,y(t)) be a function belonging to C 1(R+,Rd) and consider the Cauchy problem for the first order ODE: { ẏ = f (t,y(t)), t ∈]0,T ], y(0) = α ∈ Rd . (1)
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