Computable A Posteriori (L sub infinity) Error Bounds for the Approximate Solution of Two Point Boundary Value Problems.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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In this paper the authors use the general theory of Newtons method for operator equations with functional constraints recently developed by Tapia and the Kantorovich theorem to construct C sup 1 approximations to the solution and its derivative of the nonlinear two point boundary value problem and computable L sub infinity error bounds for both approximations. Several numerical examples for both boundary value and initial value problems are included. Author
- Theoretical Mathematics