Spline Solution of Linear Initial and Boundary Value Problems.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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ALUE Problems.Technical summary rept.,SEdison,Harold D. Schumaker,Larry L. MRC-TSR-1392DA-31-124-AROD-462Boundary value problems, Splines, Approximation, MatricesMathematics, Interpolation, Theorems, Numerical integrationSpline interpolation, Spline approximation, Two point boundary value problemsM. Golomb recently suggested a method for the optimal numerical solution of linear boundary-value problems which leads to approximations which are certain Lg-splines. The purpose of the paper is to apply a factorization method for constructing general Lg-interpolating splines to produce convenient algorithms for Golombs method. The resulting numerical method seems to exhibit a localized error behavior which makes it especially useful for stiff initial-value problems. Numerical examples are included. Author
- Theoretical Mathematics