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Numerical Analysis Technical Reports

200920082007

[NA-08/20]

Barycentric-Remez algorithms for best polynomial approximation in the chebfun system

Ricardo Pachón and Nick Trefethen

No. NA-08/20. Oxford University Computing Laboratory. December, 2008.

[NA-08/21]

A second derivative SQP method: Local convergence

Nicholas I. M. Gould and Daniel P. Robinson

No. NA-08/21. Oxford University Computing Laboratory. December, 2008.

[NA-08/19]

Preconditioned GMRES for oscillatory integrals

Sheehan Olver

No. NA-08/19. Oxford University Computing Laboratory. November, 2008.

[NA-08/18]

A second derivative SQP method: Theoretical issues

Nicholas I. M. Gould and Daniel P. Robinson

No. NA-08/18. Oxford University Computing Laboratory. November, 2008.

[NA-08/17]

Local projection finite element stabilization for the generalized Stokes problem

Kamel Nafa and Andrew J Wathen

No. NA-08/17. Oxford University Computing Laboratory. October, 2008.

[NA-08/16]

Conformal Maps to Multiply-Slit Domains and Applications

Nicholas Hale and T. Wynn Tee

No. NA-08/16. Oxford University Computing Laboratory. October, 2008.

[NA-08/15]

Using global interpolation to evaluate the Biot-Savart integral for deformable elliptical Gaussian vortex elements

Rodrigo B. Platte, Louis F. Rossi and Travis B. Mitchell

No. NA-08/15. Oxford University Computing Laboratory. October, 2008.

[NA-08/13]

Chebfun: A New Kind of Numerical Computing

Rodrigo Platte and Nick Trefethen

No. NA-08/13. Oxford University Computing Laboratory. October, 2008.

[NA-08/14]

Chebyshev Semi-iteration in Preconditioning

Andrew J. Wathen and Tyrone Rees

No. NA-08/14. Oxford University Computing Laboratory. October, 2008.

[NA-08/01]

An extended collection of matrix derivative results for forward and reverse mode automatic differentiation

Mike Giles

No. NA-08/01. Oxford University Computing Laboratory. January, 2008.

This is an extended version of a paper which will appear in the proceedings of AD2008, the 5th International Conference on Automatic Differentiation.

[NA-08/02]

Trust-region and other regularisations of linear least-squares problems

Coralia Cartis, Nicholas I. M. Gould and Philippe L. Toint

No. NA-08/02. Oxford University Computing Laboratory. February, 2008.

[NA-08/03]

A Krylov-Schur approach to the truncated SVD

Martin Stoll

No. NA-08/03. Oxford University Computing Laboratory. March, 2008.

[NA-08/05]

A Primal-Dual Augmented Lagrangian

Philip E. Gill and Daniel P. Robinson

No. NA-08/05. Oxford University Computing Laboratory. May, 2008.

[NA-08/06]

GMRES for the differentiation operator

Sheehan Olver

No. NA-08/06. Oxford University Computing Laboratory. May, 2008.

[NA-08/07]

Piecewise smooth chebfuns

Ricardo Pachón, Rodrigo Platte and Nick Trefethen

No. NA-08/07. Oxford University Computing Laboratory. May, 2008.

[NA-08/08]

A Bramble-Pasciak-like method with applications in optimization

H. Sue Dollar, Nicholas I. M. Gould, Martin Stoll and Andrew J. Wathen

No. NA-08/08. Oxford University Computing Laboratory. June, 2008.

[NA-08/09]

A second derivative SQP method with imposed descent

Nicholas I. M. Gould and Daniel P. Robinson

No. NA-08/09. Oxford University Computing Laboratory. June, 2008.

[NA-08/10]

Optimal solvers for PDE-Constrained Optimization

Tyrone Rees, H. Sue Dollar and Andrew J. Wathen

No. NA-08/10. Oxford University Computing Laboratory. June, 2008.

[NA-08/11]

The chebop system for automatic solution of differential equations

Tobin A. Driscoll, Folkmar Bornemann and Nick Trefethen

No. NA-08/11. Oxford University Computing Laboratory. June, 2008.

[NA-08/12]

Householder triangularization of a quasimatrix

Nick Trefethen

No. NA-08/12. Oxford University Computing Laboratory. July, 2008.

[NA-08/04]

A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine

Nicholas Hale and Daniel R. Moore

No. NA-08/04. Oxford University Computing Laboratory. May, 2008.