Entrance hall of the ICMS Workshop

Boundary value problems for linear elliptic and integrable PDEs: theory and computation

May 28, 2012 - Jun 01, 2012

ICMS 15 South College Street

Organisers

Name Institution
Bona, Jerry University of Illinois at Chicago
Chandler-Wilde, Simon University of Reading
Fornberg, Bengt University of Colorado
Pelloni, Beatrice Heriot-Watt University

 

The aim of this workshop is to bring together researchers who have contributed to recent developments in the theory and computation of boundary value problems for certain important partial differential equations, from varying perspectives and using disparate methods.

The meeting will focus on the following themes:

  • boundary value problems for nonlinear PDEs, integrablibility formalism and PDE techniques
  • boundary value problems for linear elliptic PDEs, Wiener-Hopf methods and high frequency scattering
  • new numerical formalisms and comparison with existing numerical techniques, with an emphasis on high frequency wave problems.

Arrangements

Participation
Participation for this workshop is by invitation only.  

UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.

Venue
The workshop will be held at 15 South College Street, Edinburgh.  You may also find this map useful for the workshop.  All lectures will be held in the Newhaven Lecture Theatre.  To view this room and a list of the visual equipment available click here.  In addition, two blackboards have recently been installed.  The projector and one board may be used simultaneously.  

Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.  For those without laptops, there will also be a couple of computers available for you to check your emails.

Travel
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 3.50 single or 6.00 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.40 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second railway station is called Haymarket and is at the West End of the city centre.

Accommodation
If you asked ICMS to organise your accommodation, you will receive an email informing you whether you are staying at Masson House OR Kenneth MacKenzie Suite:
Map showing location of Masson House, Pollock Halls of Residence
Map showing location of Kenneth MacKenzie Suite 

Catering
Refreshments will be provided during the coffee breaks for the duration of the event.   A light lunch will be available in the Chapterhouse of 15 South College Street on Monday, Tuesday and Thursday.  Participants are free to make their own arrangements for lunch on Wednesday and the workshop closes at 12.30 on Friday.  There will be a workshop dinner in St Leonard's Hall at Pollock Halls of Residence, Holyrood Park Road, Edinburgh, on Thursday 31 May.

Financial Matters and Registration Fee
The workshop grant will cover the cost of bed and breakfast accommodation for all participants, refreshments during the coffee breaks for the duration of the workshop, 3 lunches, an informal wine reception on Monday evening and the workshop dinner at St Leonard's Hall on Thursday.

A registration fee of 50.00 GBP is payable by all.   If possible, we'd prefer that this fee is paid in advance of the meeting by completing the details on the credit/debit card payment form.   As email is not secure, please print the form and return it by fax using the fax number at the top of the form.   ICMS will take your payment and a receipt will be emailed to you.  Alternatively, we can accept sterling cheques, made payable to Heriot-Watt University but sent to Audrey Brown, ICMS, 15 South College Street, Edinburgh, EH8 9AA.  If you have any difficulty in paying in advance, it is possible for you to simply pay on arrival at Registration. 

If we have agreed to pay some of your travel costs the amount will be confirmed in your 'Final Information' email which you will receive a week prior to the workshop.  Reimbursement will take place after the event and will involve payment directly into your bank account.  At Registration you will be given an expenses claim form and this should be submitted to ICMS, with original receipts. It would be helpful if you could bring your bank details to the workshop. In addition to the bank account number, participants from the USA and Canada will require their bank’s routing number, those from the UK will be asked for the bank sort code, and those from  the rest of the world, an IBAN and SWIFT/BIC code. We cannot reimburse any item without a signed claim form and original receipts.

 

Programme

Please continue to check this Programme as alterations may appear prior to the workshop.

Monday 28 May 2012

08.45-09.20

Registration & coffee

09.20-09.30

Welcome & introduction

09.30-10.30

Thanasis Fokas (University of Cambridge)
An effective method for integrable nonlinear PDEs on the half-line  pdf of presentation

10.30-11.00

Coffee/Tea in Chapterhouse, Level 1

11.00-12:00

Euan Spence (University of Bath)
New and old methods for solving linear elliptic PDEs numerically   pdf of presentation

12:00-13:00

Natasha Flyer (National Center for Atmospheric Research)
Improving numerical accuracy in the presence of corner singularities  pdf of presentation

13:00-14.00

Lunch/Discussions (lunch provided in the Chapterhouse, Level 1)

14.00-15.00

Shu-Ming Sun (Virginia Polytechnic Institute and State University)
Nonhomogenous boundary value problems of the Schrodinger equations

15.00-16.00

Alex Himonas (University of Notre Dame)
The initial value problem for a class of integrable equations   pdf of presentation

16:00-16.30

Coffee/Tea in Chapterhouse, Level 1

16.30-17.30

Gino Biondini (State University of New York at Buffalo)
On the Maxwell-Bloch equations with non-zero boundary conditions   pdf of presentation

17.30 – 19.00

Informal Wine Reception in the Atrium, Level 3

 

Tuesday 29 May 2012

09.00-10:00

Ralf Hiptmair (ETH Zurich)
Novel boundary element methods for scattering at composite objects   pdf of presentation

10.00-11.00

Anthony Ashton (University of Cambridge)
On the rigorous foundations of the Fokas transform method  pdf of presentation

11.00-11.30

Coffee/Tea in Chapterhouse, Level 1

11.30-12.30

Daan Huybrechs (KU Leuven)
Numerical-asymptotic methods for solving the Helmholtz equation in the high-frequency regime
pdf of presentation

12.30-14.00

Lunch/Discussions (lunch provided in the Chapterhouse, Level 1)

14.00-15.00

Ivan Graham (University of Bath)
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
pdf of presentation

15.00-16.00

Ohannes Karakashian (University of Tennessee)
Conservative discontinuous Galerkin methods for the generalized Korteweg-de Vries equation
pdf of presentation

16.00-16.30

Coffee/Tea in Chapterhouse, Level 1

16.30-17.30

Elizabeth Its (Indiana University-Purdue University Indianapolis)
Riemann-Hilbert approach to scattering problems in elastic media  pdf of presentation

 

Wednesday 30 May 2012

09.00-10:00

Bengt Fornberg (University of Colorado)
The Fokas transform approach for Laplace- and Helmholtz-type equations: a spectrally accurate implementation of the Dirichlet-to-Neumann map problem on a polygonal domain
pdf of presentation

10:00-11.00

Stephen Langdon (University of Reading)
A high frequency boundary element method for scattering by a class of nonconvex obstacles
pdf of presentation

11.00-11.30

Coffee/Tea in Chapterhouse, Level 1

11.30-12.30

Jean-Claude Saut (Université Paris Sud)
Diffusive effects of boundary conditions for nonlinear dispersive equations
pdf of presentation

12.30-13:30

Lunch break (no lunch provided)

13.30-15.00

Discussion Session – then free afternoon

 

Thursday 31 May 2012

09.00-10:00

Darren Crowdy (Imperial College London)
Mixed boundary value problems in the study of superhydrophobic surfaces
pdf of presentation

10:00-11:00

David Hewett (University of Reading)
High frequency scattering by screens: boundary integral equation formulations
pdf of presentation

11.00-11.30

Coffee/Tea in Chapterhouse, Level 1

11.30-12.30

Sheila Smitheman (University of Nottingham)
Spectral methods for elliptic equations in regular and convex irregular polygons
pdf of presentation

12.30-14.00

Lunch/Discussions (lunch provided in the Chapterhouse, Level 1)

14.00-15.00

Dionyssis Mantzavinos (University of Cambridge)
Initial-boundary value problems for linear and nonlinear evolution PDEs
pdf of presentation

15.00-16.00

Thomas Trogdon (University of Washington)
Numerical inverse scattering: uniform approximation of integrable PDEs  pdf of presentation

16.00-16.30

Coffee/Tea in Chapterhouse, Level 1

16.30-17.30

David Smith (University of Crete)
Well-posedness of linear initial-boundary value problems   pdf of presentation

19.00

Workshop dinner at St Leonard’s Hall, Pollock Halls of Residence, Edinburgh

 

Friday 1 June 2012

09.00-10.00

Jonatan Lenells (Baylor University)
The Fokas method for equations with 3x3 Lax pairs  pdf of presentation

10:00-11.00

Hongqiu Chen (University of Memphis)
Stability of solitary-wave solutions for some dispersive systems of equations
pdf of presentation

11:00-11.30

Coffee/Tea in Chapterhouse, Level 1

11.30-12.30

Jerry Bona (University of Illinois at Chicago)
Boundary value problems arising in water wave models  pdf of presentation

12.30

Closing

 

Presentations:

Presentation Details
Antonopoulou, Dimitra
The outer parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force
View Abstract Down
Ashton, Anthony
On the rigorous foundations of the Fokas transform method
View Abstract Down
Biondini, Gino
On the Maxwell-Bloch equations with non-zero boundary conditions
View Abstract Down
Bona, Jerry
Boundary-value problems arising in water wave models
View Abstract Down
Chen, Hongqiu
Stability of solitary-wave solutions for some dispersive systems of equations
View Abstract Down
Crowdy, Darren
Mixed boundary value problems in the study of superhydrophobic surfaces
View Abstract Down
Flyer, Natasha
Improving numerical accuracy in the presence of corner singularities
View Abstract Down
Fokas, Thanasis
An effective method for integrable nonlinear PDEs on the half-line
View Abstract Down
Fornberg, Bengt
The Fokas transform approach for Laplace - and Helmholtz - type equations: a spectrally accurate implementation of the Dirichlet-to-Neumann map problem on a polygonal domain
View Abstract Down
Graham, Ivan
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
View Abstract Down
Hewett, David
High frequency scattering by screens: boundary integral equation formulations
View Abstract Down
Himonas, Alex
The initial value problem for a class of integrable equations
View Abstract Down
Hiptmair, Ralf
Novel boundary element methods for scattering at composite objects
View Abstract Down
Huybrechs, Daan
Numerical-asymptotic methods for solving the Helmholtz equation in the high-frequency regime
View Abstract Down
Its, Elizabeth
Riemann-Hilbert approach to scattering problems in elastic media
View Abstract Down
Karakashian, Ohannes
Conservative discontinuous Galerkin methods for the generalized Korteweg-de Vries equation
View Abstract Down
Langdon, Stephen
A high frequency boundary element method for scattering by a class of nonconvex obstacles
View Abstract Down
Lenells, Jonatan
The Fokas method for equations with 3x3 Lax pairs
View Abstract Down
Mantzavinos, Dionyssis
Initial-boundary value problems for linear and nonlinear evolution PDEs
View Abstract Down
Saut, Jean-Claude
Diffusive effects of boundary conditions for nonlinear dispersive equations
View Abstract Down
Smith, David
Well-posedness of linear initial-boundary value problems
View Abstract Down
Smitheman, Sheila
Spectral methods for elliptic equations in regular and convex irregular polygons
View Abstract Down
Spence, Euan
New and old methods for solving linear elliptic PDEs numerically
View Abstract Down
Sun, Shu-Ming
Nonhomogenous boundary value problems of the Schrodinger equations
View Abstract Down
Trogdon, Thomas
Numerical inverse scattering: uniform approximation of integrable PDEs
View Abstract Down

Participants

Name Institution
Ashton, Anthony University of Cambridge
Biondini, Gino State University of New York at Buffalo
Bona, Jerry University of Illinois at Chicago
Chandler-Wilde, Simon University of Reading
Chen, Hongqiu University of Memphis
Clarkson, Peter University of Kent
Crowdy, Darren Imperial College London
Flyer, Natasha National Center for Atmospheric Research
Fokas, Thanasis University of Cambridge
Fornberg, Bengt University of Colorado
Graham, Ivan University of Bath
Hewett, David University of Reading
Himonas, Alex University of Notre Dame
Hiptmair, Ralf ETH Zurich
Huybrechs, Daan KU Leuven
Its, Alexander Indiana University-Purdue University Indianapolis
Its, Elizabeth Indiana University-Purdue University Indianapolis
Karakashian, Ohannes University of Tennessee
Langdon, Stephen University of Reading
Lenells, Jonatan Baylor University
Mansfield, Elizabeth University of Kent
Mantzavinos, Dionyssis University of Cambridge
Moiola, Andrea University of Reading
Pelloni, Beatrice Heriot-Watt University
Prinari, Barbara University of Colorado Colorado Springs & University of Salento
Saut, Jean-Claude Université Paris Sud
Shargorodsky, Eugene King's College London
Smith, David University of Crete
Smitheman, Sheila University of Nottingham
Spence, Euan University of Bath
Sun, Shu-Ming Virginia Polytechnic Institute and State University
Trogdon, Thomas University of Washington