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SIAM J. on Numerical Analysis

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1968

Volume 5, Issue 4, pp. 647-889


Uniform Approximation by Chebyshev Spline Functions. II: Free Knots

Larry Schumaker

SIAM J. Numer. Anal. 5, pp. 647-656 (10 pages) | Cited 11 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

A Note on Obtaining Natural Spline Functions by the Abstract Approach of Atteia and Laurent

J. W. Jerome and L. L. Schumaker

SIAM J. Numer. Anal. 5, pp. 657-663 (7 pages)

Online Publication Date: July 14, 2006

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On the Numerical Solution of Degenerate Linear and Nonlinear Elliptic Boundary Value Problems

Harold J. Kushner

SIAM J. Numer. Anal. 5, pp. 664-679 (16 pages) | Cited 1 time

Online Publication Date: July 14, 2006

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Abstract Unavailable

Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation

Joel N. Franklin and Eugene R. Rodemich

SIAM J. Numer. Anal. 5, pp. 680-716 (37 pages) | Cited 20 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

On the Numerical Solution of Degenerate Elliptic-Parabolic Equations

C. Denson Hill

SIAM J. Numer. Anal. 5, pp. 717-724 (8 pages) | Cited 1 time

Online Publication Date: July 14, 2006

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Finite Difference Forms Containing Derivatives of Higher Order

Manfred Reimer

SIAM J. Numer. Anal. 5, pp. 725-738 (14 pages) | Cited 11 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

On Solving Nonlinear Equations with a One-Parameter Operator Imbedding

Gunter H. Meyer

SIAM J. Numer. Anal. 5, pp. 739-752 (14 pages) | Cited 45 times

Online Publication Date: July 14, 2006

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A Factorization Procedure for the Solution of Elliptic Difference Equations

Todd Dupont

SIAM J. Numer. Anal. 5, pp. 753-782 (30 pages) | Cited 22 times

Online Publication Date: July 14, 2006

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On the Nature of Certain Quadrature Formulas and Their Errors

Christopher T. H. Baker

SIAM J. Numer. Anal. 5, pp. 783-804 (22 pages) | Cited 4 times

Online Publication Date: July 14, 2006

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Show Abstract
A bound for the error in approximating a Riemann integral by a Riemann sum is obtained, and the discussion is shown to be applicable to a number of commonly used interpolatory quadrature formulas. The error in these formulas is zero for a class of functions, and this permits an extension of the analysis to obtain more sophisticated though easily computable error bounds.

Upon the Padé Table Derived from a Stieltjes Series

Peter Wynn

SIAM J. Numer. Anal. 5, pp. 805-834 (30 pages) | Cited 8 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

Effects of Boundary Regularity on the Discretization Error in the Fixed Membrane Eigenvalue Problem

J. H. Bramble and B. E. Hubbard

SIAM J. Numer. Anal. 5, pp. 835-863 (29 pages) | Cited 9 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

On Abel-Hermite-Birkhoff Interpolation

A. Sharma and J. Prasad

SIAM J. Numer. Anal. 5, pp. 864-881 (18 pages) | Cited 6 times

Online Publication Date: July 14, 2006

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Abstract Unavailable

Uniform Rational Approximation Using a Generalized Weight Function

D. G. Moursund and G. D. Taylor

SIAM J. Numer. Anal. 5, pp. 882-889 (8 pages) | Cited 4 times

Online Publication Date: July 14, 2006

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Abstract Unavailable
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