论文信息 - Some Collocation Methods for Nonlinear Boundary Value Problems

Some Collocation Methods for Nonlinear Boundary Value Problems

Several projection operators into spaces of spline functions are used to develop new approximation schemes of collocation type for the solutions to nonlinear boundary value problems. Theoretical convergence rates are given along with examples of classes of problems to which the methods are applicable. Numerical results verifying the convergence rates of the methods are presented as well as a discussion of their implementation on an electronic computer.

Thomas R. Lucas | George W. Reddien

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