ABSTRACT

Of considerable importance to numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis, featuring eminent analysts and current topics. The papers cover everything from partial differential equations to linear algebra and approximation theory and contain contributions from the leading expert

chapter 1|3 pages

Introduction

chapter 2|2 pages

Mixed hp-finite element spaces

chapter 3|12 pages

Mixed hp-FEM on high aspect ratio elements

chapter |1 pages

References

chapter |2 pages

Acknowledgement

chapter 1|1 pages

Introduction

chapter 2|2 pages

An optimization model problem

chapter 3|1 pages

Galerkin finite element discretization

chapter 4|8 pages

A posteriori error estimation

chapter 5|8 pages

Numerical results

chapter |1 pages

References

chapter |1 pages

Acknowledgement

chapter 1|1 pages

Introduction

chapter 2|8 pages

Numerical methods

chapter 3|4 pages

Extended models

chapter 5|4 pages

Active contour models without edges

chapter |5 pages

References

chapter 1|1 pages

Introduction

chapter 2|3 pages

Basic principles

chapter 3|4 pages

A model problem

chapter 4|2 pages

Extensions to other problems

chapter |3 pages

References

chapter |1 pages

Acknowledgement

chapter 1|1 pages

Introduction

chapter 5|3 pages

Powers of hypercomplex numbers

chapter 6|1 pages

A philosophical conclusion

chapter |1 pages

References

chapter |1 pages

Acknowledgement

chapter 1|2 pages

Introduction

chapter 3|6 pages

Stability bounds

chapter 4|5 pages

Numerical results

chapter |3 pages

References

chapter 1|5 pages

Introduction

chapter 2|3 pages

The semi-norm of S

chapter 3|5 pages

The Krylov subspace method

chapter 4|7 pages

The recommended algorithm

chapter |1 pages

References

chapter |2 pages

Acknowledgement

chapter 1|2 pages

Introduction

chapter 2|24 pages

Background

chapter 1|1 pages

Introduction

chapter 3|3 pages

Numerical experiments

chapter 4|5 pages

Energy behaviour for large step sizes

chapter 6|3 pages

Proofs of Theorems 4.1 and 4.2

chapter |4 pages

References

chapter 1|2 pages

Introduction

chapter 3|4 pages

A review of the FETI method

chapter 5|1 pages

FETI with redundant Lagrange multipliers

chapter |3 pages

References

chapter |3 pages

Acknowledgements

chapter 1|1 pages

Introduction

chapter 2|2 pages

Points on the sphere

chapter 3|3 pages

Polynomial interpolation

chapter 4|2 pages

What is known theoretically?

chapter 5|1 pages

Reproducing kernel basis

chapter 6|1 pages

Best possible projection

chapter 7|4 pages

Hyperinterpolation

chapter 8|2 pages

Uniform error on a cosine cap

chapter |2 pages

References

chapter |2 pages

Acknowledgement

chapter 1|2 pages

Linear, time-varying and nonlinear models

chapter 2|8 pages

Linear time-invariant systems

chapter 3|4 pages

Time-varying systems

chapter 4|1 pages

Concluding remarks

chapter |3 pages

Acknowledgements

chapter 1|1 pages

Introduction

chapter 2|10 pages

Known bounds on ||E|| and ||d||p

chapter 3|3 pages

A known bound on ||E : d||

chapter 4|1 pages

Conclusions

chapter |3 pages

References

chapter |13 pages

Contributed Papers