1. Preface

   • Gustaf Söderlind

   Preface Pages: i - i

2. The Impact of Equal Weighting of Low- and High-Confidence Observations on Robust Linear Regression Computations

   • Venansius Baryamureeba

   OriginalPaper Pages: 847 - 855

3. On The Sharpness of an Asymptotic Error Estimate for Conjugate Gradients

   • B. Beckermann
   • A. B. J. Kuijlaars

   OriginalPaper Pages: 856 - 867

4. The Linear Rational Pseudospectral Method for Boundary Value Problems

   • Jean-Paul Berrut
   • Richard Baltensperger

   OriginalPaper Pages: 868 - 879

5. What is the Inverse of a Basis?

   • Carl de Boor

   OriginalPaper Pages: 880 - 890

6. A Spline Collocation Method for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

   • H. Brunner
   • A. Pedas
   • G. Vainikko

   OriginalPaper Pages: 891 - 900

7. On Using Hölder Norms in the Quasi-Minimal Residual Approach

   • H. Martin Bücker
   • Manfred Sauren

   OriginalPaper Pages: 901 - 911

8. Runge-Kutta Type Methods Based on Geodesics for Systems of ODEs on the Stiefel Manifold

   • N. del Buono
   • L. Lopez

   OriginalPaper Pages: 912 - 923

9. Partitioned-GMRES in Domain Decomposition with Approximate Subdomain Solution

   • K. Dekker

   OriginalPaper Pages: 924 - 935

10. A Faster and Simpler Recursive Algorithm for the LAPACK Routine DGELS

    • Erik Elmroth
    • Fred G. Gustavson

    OriginalPaper Pages: 936 - 949

11. The Thermoregulation of Infants: Modeling and Numerical Simulation

    • Bernd Fischer
    • Martin Ludwig
    • Andreas Meister

    OriginalPaper Pages: 950 - 966

12. A Low-Complexity Divide-and-Conquer Method for Computing Eigenvalues and Eigenvectors of Symmetric Band Matrices

    • W. N. Gansterer
    • J. Schneid
    • C. W. Ueberhuber

    OriginalPaper Pages: 967 - 976

13. A Stochastic Approach to Error Estimates for Iterative Linear Solvers: Part 1

    • G. H. Golub
    • H. Melbø

    OriginalPaper Pages: 977 - 985

14. Deferred Correction Methods for Initial Value Problems

    • Bertil Gustafsson
    • Wendy Kress

    OriginalPaper Pages: 986 - 995

15. Geometric Integration of Ordinary Differential Equations on Manifolds

    • E. Hairer

    OriginalPaper Pages: 996 - 1007

16. On Lanczos Based Methods for the Regularization of Discrete Ill-Posed Problems

    • Martin Hanke

    OriginalPaper Pages: 1008 - 1018

17. Error Analysis of Clenshaw's Algorithm for Evaluating Derivatives of a Polynomial

    • Takemitsu Hasegawa

    OriginalPaper Pages: 1019 - 1028

18. On the Monotone Error Rule for Parameter Choice in Iterative and Continuous Regularization Methods

    • U. Hämarik
    • U. Tautenhahn

    OriginalPaper Pages: 1029 - 1038

19. On the Convergence of Backward Differentiation Formulas for Stiff Initial Value Problems

    • Gabriela Kirlinger

    OriginalPaper Pages: 1039 - 1048

20. Regularization Using QR Factorization and the Estimation of the Optimal Parameter

    • T. Kitagawa
    • S. Nakata
    • Y. Hosoda

    OriginalPaper Pages: 1049 - 1058

21. Examples of Saturated Convergence Rates for Tikhonov Regularization

    • Marek Andrzej Kojdecki

    OriginalPaper Pages: 1059 - 1068

22. The Lanczos Method with Semi-Definite Inner Product

    • Karl Meerbergen

    OriginalPaper Pages: 1069 - 1078

23. Circulant Preconditioners for Indefinite Toeplitz Systems

    • Michael K. Ng
    • Daniel Potts

    OriginalPaper Pages: 1079 - 1088

24. Extrapolated Magnus Methods

    • Bojan Orel

    OriginalPaper Pages: 1089 - 1100

25. Application of Wavelet Shrinkage to Solving the Sideways Heat Equation

    • Teresa Regińska

    OriginalPaper Pages: 1101 - 1110

26. A Variant of the Inverted Lanczos Method

    • Heinrich Voss

    OriginalPaper Pages: 1111 - 1120