Implicit Runge–Kutta Methods for Lipschitz Continuous Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Implicit Runge-Kutta Methods for Lipschitz Continuous Ordinary Differential Equations
Implicit Runge-Kutta(IRK) methods for solving the nonsmooth ordinary differential equation (ODE) involve a system of nonsmooth equations. We show superlinear convergence of the slanting Newton method for solving the system of nonsmooth equations. We prove the slanting differentiability and give a slanting function for the involved function. We develop a new code based on the slanting Newton met...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2008
ISSN: 0036-1429,1095-7170
DOI: 10.1137/070688699