Contents

D. N. Arnold, A. Mukherjee &L. Pouly:
Adaptive finite elements and

colliding black holes
1

C. J. Budd &G. J. Collins: Symmetry based numerical methods for

partial differential equations
16

R. H. Byrd, Guanghui Liu &J. Nocedal:
On the local behavior of an

interior point method for
nonlinear programming
37

A. J. Cox &N. J. Higham: Stability of Householder QR
factorization for

weighted least squares
problems
57

J. E. Flaherty, R. M. Loy, M. Dindar, M. S. Shephard, B. K. Szymanski,

J. D. Teresco &L. H. Ziantz:
An adaptive and parallel framework for

partial differential equations
74

R. Fletcher: Block triangular orderings and factors for sparse matrices in LP 91

B. Garc´a-Archilla, J. M. Sanz-Serna &R. D. Skeel:
Long-time step methods for

oscillatory differential equations
111

A. Greenbaum: On the role of the left starting vector in the two-sided

Lanczos algorithm and
nonsymmetric linear system solvers
124

E. Hairer &P. Leone: Order barriers for symplectic multi-value methods 133

G. F. Jónsson &Ll. N. Trefethen: A numerical analyst looks
at the ``cutoff

phenomenon'' in card shuffling and
other Markov chains 150

D. Kröner: Finite volume schemes in multidimensions 179

M. J. D. Powell: Trust region calculations revisited 193

G. Strang: The search for a good basis 212

A. J. Wathen, B. Fischer &D. J. Silvester:
The convergence of iterative

solution methods for symmetric and
indefinite linear systems
230

List of Contributed Talks244