Proceedings

Proceedings will be published as a special issue of Numerical Algorithms. The members of the guest editorial board are Prof Rüdiger Weiner, Prof Zdzisław Jackiewicz, Prof John Butcher and Dr Helmut Podhaisky.

This special issue will not be confined to the exact text of papers presented at the conference, but will contain, for example, papers arising from collaborations established at the workshop.

Instructions

  • The deadline for submission is 31 October 2008.
  • The maximum length is 20 pages.
  • All papers will be subject to the usual peer review process.
  • Authors will have to submit their paper on the website of the journal http://www.editorialmanager.com/numa/ and to choose GLADE as the "Article Type".
    The recommended style files can be found here.

Conference programme

Sessions will be held morning and afternoon every day of the week except Tuesday. On Tuesday we will hold only a morning session and devote the afternoon to an excursion, probably to the Waitakere mountains.

The programme will consist of six plenary lectures and 34 contributed lectures.

The plenary speakers are:

  • John Butcher
  • Adrian Hill
  • Zdzislaw Jackiewicz
  • Robert McLachlan
  • Helmut Podhaisky
  • Rüdiger Weiner
An additional plenary lecture, by Will Wright, will be included in the programme for the workshop in the following week.

MONDAY MORNING

  8:30 Registration
  9:00 Opening Ceremony
  9:30 Rüdiger Weiner Two-Step Peer Methods for Stiff and Nonstiff Differential Equations
10:30   Tea/Coffee break
11:00 Stefan Jebens Explicit Peer Methods for Special Second-Order Differential Equations
11:30 Per Grove Thomsen Efficient integration of stiff kinetics for reactive reservoir processes.
12:00 Jens Lang On Global Error Estimation and Control for Runge-Kutta-Rosenbrock Methods

MONDAY AFTERNOON

14:00 Jim Verner B-series and TSRK methods based on Gaussian quadratures
14:30 Tina Chan Picard Integral as a limit of Runge--Kutta methods
15:00 Swaroop Nandan Bora Green's function method for water wave scattering in a two-layer fluid flowing through a channel with bottom deformation
15:30   Tea/Coffee break
16:00 Robert Chan The theory of two derivative Runge--Kutta methods
16:30 Angela Tsai Explicit two-Derivative Runge-Kutta Methods

MONDAY EVENING

18:00 RECEPTION Ground floor Mathematics/Physics Building

TUESDAY MORNING

  9:00 John Butcher Trees and numerical methods for ordinary differential equations
10:00 Terry Feagin An Explicit Runge-Kutta Method of Order Fourteen
10:30   Tea/Coffee break
11:00 Kees Dekker Krylov subspace iteration in an algebraically stable General Linear Method
11:30 Mayya Tokman Construction and performance of exponential integrators.

TUESDAY AFTERNOON

Excursion departs 13:00

WEDNESDAY MORNING

  9:00 Adrian Hill Algebraically stable general linear methods: identification and construction
10:00 Laura Hewitt Reducible general linear methods
10:30   Tea/Coffee break
11:00 Paul Zegeling Numerical computation and analysis of travelling waves in PDE models with mixed space-time derivatives
11:30 Shirley Abelman Steady MHD flow of a third grade fluid in a rotating frame and porous space
12:00 Shixiao Wang A novel method for analyzing the global stability of inviscid columnar swirling

WEDNESDAY AFTERNOON

14:00 Zdzislaw Jackiewicz Almost two-step collocation methods for ordinary differential equations
15:00 Raffaele D'Ambrosio A Special Class of Continuous Two-step Runge-Kutta methods for Ordinary Differential Equation
15:30   Tea/Coffee break
16:00 Steven Ruuth A numerical study of diagonally split Runge--Kutta methods for PDEs with discontinuities
16:30 Mikhail Bulatov Numerical solution of integral differential equations with a degenerate matrix at the higher derivative

THURSDAY MORNING

  9:00 Veerle Ledoux High order Magnus methods for the numerical solution of the Sturm-Liouville boundary value problem
  9:30 Natesan Srinvasan A second-order robust numerical method for system of singularly perturbed boundary-value problems
10:00 Wayne Enright The Quality/Cost Trade-off for a Class of ODE Solvers
10:30   Tea/Coffee break
11:00 Karel in' t Hout ADI finite difference schemes for option pricing in the Heston model with correlation
11:30 Ewa B. Weinmüller Global error estimates for index-1 DAEs
12:00 Istvan Farago Discrete maximum principles and their applications

THURSDAY AFTERNOON

14:00 Robert McLachlan Structure in B-series for Hamiltonian systems
15:00 Mihaly Kovacs Strong convergence estimates for the semi-discrete finite element method with truncated noise for parabolic stochastic equations
15:30   Tea/Coffee break
16:00 Paul Muir Asymptotically Correct Defect Control for a Runge-Kutta Type BVODE Solver
16:30 Gennady Kulikov Global Error Control in Nordsieck Methods

THURSDAY EVENING

19:00 CONFERENCE DINNER Functions room, Student Union Building

FRIDAY MORNING

  9:00 Helmut Podhaisky Implicit peer methods
10:00 Simon Malham Universal optimal stochastic expansions
10:30 Nicolette Rattenbury A Survey of Almost Runge-Kutta Methods
11:00   Tea/Coffee break
11:30 Stanislav Dmitriev Numerical Solution to Systems of Delay Integrodifferential Algebraic Equations
12:00 Eunjee Song A study on the effective Algorithms by Fourier Transform for Numerical Conformal Mapping
12:30 Hossein ZivariPiran An Efficient Unified Approach for the Numerical Solution of Delay Differential Equations

FRIDAY AFTERNOON

14:00 Maria Kulikova Repeated Surveys and the Kalman Filter
14:30 Raymond Spiteri A parallel time-stepping algorithm
15:00 Domingo Hernandez-Abreu Global order of convergence of General Linear Methods for dissipative systems on semi-infinite intervals
15:30 Closing ceremony Not really a ceremony but a time for more than average refreshments

General Information

The GLADE 2008 meeting on numerical methods for differential equations, and related problems, will be held in Auckland during July 2008 and will consist of a one week conference followed by a one week workshop. The specific dates are:
GLADE conference 14-18 July 2008
GLADE workshop 21-25 July 2008
In addition to these scheduled events, we want to encourage participants to extend their time in Auckland. We will arrange visitor status for anyone visiting the Mathematics Department for the weeks before and after the scheduled meetings.

The following mathematicians have accepted our invitation as invited speakers. They will each present plenary lectures at the conference and most of them will play major roles during the week of the workshop.

  • John Butcher
  • Adrian Hill
  • Zdzislaw Jackiewicz
  • Robert McLachlan
  • Helmut Podhaisky
  • Rüdiger Weiner
in addition, there will be a plenary lecture at the workshop by
  • Will Wright
as well as various other lectures, either scheduled in advance or developed during the first few days of the workshop.

Thanks to a grant from the New Zealand Institute of Mathematics and its Applications, specifically given to support New Zealand participation, we expect that we will be able to offer a generous discount on the registration fees of local mathematicians taking part in these events. Intending participants, including students, who are resident in New Zealand, should proceed with their registrations without paying any fees at that time.

On 31 March 2008, registration at the special rate for NZ students closed and these students will be informed what their subsidised fees will be. The same applies to NZ participants who are not students, although late registrations at a special rate might be considered in these cases.

Registration will finally close on 30 April 2008.

We would very much like to hear from you if you have any other comments and suggestions.

Please send any replies to glade2008@math.auckland.ac.nz

Many thanks

John Butcher, Robert Chan, Tina Ming-Hua Chan詹明華, Yousaf Habib, Allison Heard, Jane HyoJin Lee, Helmut Podhaisky, Alla Shymanska, Angela Tsai and Shixiao Wang.

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