A stable nonlinear mid-point formula for solving O.D.E.'s

A note on Radau and Lobatto formulae for

A note on Radau and Lobatto formulae for O.D.E.: s

✍ Rudolf Scherer 📂 Article 📅 1977 🏛 Springer Netherlands 🌐 English ⚖ 230 KB

The convergence of two Newton-like metho

The convergence of two Newton-like methods for solving block nonlinear equations and a class of r-point (r + 1)st-order A-stable one-block methods

✍ Shuangsuo Zhao; Guofeng Zhang; Changyin Wang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 775 KB

In this paper, for a Newton-like method for solving block nonlinear equations arising in the numerical solution of stiff ODEs y' = f(y), which involves a smaller quantity of computation, we prove that it is convergent and the convergence is independent of the stiffness of f(y), and give the error es