IDeC — Convergence independent of error asymptotics
Copyright policy )IDeC — Convergence independent of error asymptotics
The method of iterated defect correction [cf. \textit{R. Frank}, Numer. Math. 25, 409-419 (1976; Zbl 0346.65034) and ibid. 27, 407-420 (1977; Zbl 0366.65034)] is applied to the boundary value problem \(y''(t)=f(t,y(t))\) \(t\in (0,1)\), \(y(0)=A\), \(y(1)=B\), where \(\partial /\partial yf(t,y)\geq 0\), and analyzed for efficient and highly accurate numerical solutions.
- TU Wien Austria
Numerical solution of boundary value problems involving ordinary differential equations, Extrapolation to the limit, deferred corrections, collocation method, Nonlinear boundary value problems for ordinary differential equations, method of iterated defect correction, stability
Numerical solution of boundary value problems involving ordinary differential equations, Extrapolation to the limit, deferred corrections, collocation method, Nonlinear boundary value problems for ordinary differential equations, method of iterated defect correction, stability
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