NA Digest Sunday, April 28, 2013 Volume 13 : Issue 18

Today's Editor:
Daniel M. Dunlavy
Sandia National Labs

Submissions for NA Digest:

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Information via email about NA-NET:

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From: Jared Tanner <>
Date: Wed, 24 Apr 2013 08:13:06 +0100
Subject: Matlab/CUDA: GPU Accelerated Greedy Algs for Compressed Sensing

We are pleased to announce the inaugural release of a GPU accelerated
Matlab/CUDA software package for compressed sensing greedy algorithms.
GAGA: GPU Accelerated Greedy Algorithms for Compressed Sensing is
available at:

GPU acceleration allows solving large compressed sensing problems with
millions of unknowns in fractions of a second. The current release
consists of five greedy algorithms using five matrix ensembles. This
release is set to compile as Matlab executables to enhance your
compressed sensing research and applications. A user guide is
available for download detailing the capabilities including simple
implementations for large-scale testing at problem sizes previously
too computationally expensive for extensive testing.

The software is developed by Jeffrey D. Blanchard (Grinnell College,
Iowa) and Jared Tanner (University of Oxford, UK). We welcome
feedback on the software and accompanying user manual.


From: <>
Date: Thu, 25 Apr 2013 14:49:01 +0000
Subject: HSL 2013 Release, 50th anniversary

The Numerical Analysis Group at the STFC Rutherford Appleton
Laboratory is pleased to announce the latest release of the
internationally renowned HSL Mathematical Software Library.

2013 is particularly significant for us as it is 50 years since the
first release in 1963 of what was then the Harwell Subroutine Library.
Although originally a general-purpose mathematical library, in recent
times HSL has specialised in providing state-of-the-art routines for
handling large-scale sparse matrix calculations efficiently and

Highlights of HSL 2013 include:
- HSL_MA97 - Parallel sparse direct solver for symmetric and Hermitian
matrices (positive definite and indefinite). A key feature of this
package is that it is designed to achieve bit-compatible results.
- HSL_MC80 - Matching-based ordering and scaling for sparse symmetric
matrices. Recommended for tough indefinite systems.
- HSL_MI28 - Incomplete limited-memory Cholesky factorization.
Provides a robust and efficient preconditioner for a wide range of
real-world applications.
- HSL_MI29 - Extended version of GMRES with support for multiple
preconditioners (MPGMRES(m)).

Although HSL is primarily a Fortran library, C and Matlab interfaces
are available for many of the key packages (and may be developed for
others on request). HSL 2013 is freely available to academic staff and
students for teaching and research. Commercial licences are also
available. Further information on the HSL packages and how to obtain
them is available from or


From: "Daniel M. Pelt" <>
Date: Tue, 23 Apr 2013 10:11:18 -0400
Subject: PyASTRAToolbox 1.0, High Perf 2D/3D Tomography for Python

We would like to announce the release of version 1.0 of the
PyASTRAToolbox package.

The PyASTRAToolbox is a Python interface to the ASTRA Toolbox, a C++
and MATLAB tomography toolbox based on high-performance GPU primitives
for 2D and 3D tomography. More information on the ASTRA Toolbox can be
found at:

The Python interface aims to expose all features of the ASTRA toolbox
to Python, providing a high-performance tomography toolbox for Python

It supports 2D parallel and fan beam geometries, and 3D parallel and
cone beam. All of them have highly flexible source/detector
positioning. A large number of 2D and 3D algorithms are available,
including FBP, SIRT, SART, CGLS. The basic forward and backward
projection operations are GPU-accelerated, and directly callable from
Python to enable building new algorithms.

The release package, source code, and documentation can be obtained from:

PyASTRAToolbox is released under the open-source GPLv3 license.


From: Peter Richtarik <>
Date: Wed, 24 Apr 2013 14:28:54 -0400
Subject: Optimization & Big Data, Edinburgh, May 2013

Optimization and Big Data (Workshop, Trek and Colloquium), Edinburgh
May 1-3, 2013

No registration fee; register by April 29, 2013

May 1-2, Workshop Speakers:
Olivier Fercoq (Edinburgh)
Robert Freund (MIT)
Jacek Gondzio (Edinburgh)
Zaid Harchaoui (INRIA)
Des Higham (Strathclyde)
Martin Jaggi (Ecole Polytechnique)
Anatoli Juditsky (Grenoble)
Imre Polik (SAS Institute)
Peter Richtarik (Edinburgh)
Richard Samworth (Cambridge)
Shai Shalev-Shwartz (Jerusalem)
Martin Takac (Edinburgh)
Steve Wright (Wisconsin-Madison)

Poster Session (best student/postdoc poster wins an iPad mini -
sponsored by SAS); submission deadline: April 29, 2013 (to

May 3:
- Morning: Trek to Arthur's Seat (a 350m years old extinct volcano in
the city centre)
- Afternoon: Colloquium Talk by Steve Wright, Best Poster Award
Ceremony, Networking Reception


From: Alexander Alekseenko <>
Date: Wed, 24 Apr 2013 11:52:38 -0400
Subject: Boltzmann Equation, ICERM, USA, Jun 2013

We would like to invite all those whose research is concerned with the
solution of the Boltzmann equation (BE) and with applications of BE to
simulation of non-continuum gas flows to participate in the workshop
held in the Institute for Computational and Experimental Research in
Mathematics (ICERM) at Brown University on June 3--7, 2013.

The speakers at the workshop will communicate the most recent
developments in the area of the numerical solution of the Boltzmann
equation in application to simulation of non-continuum flows. Topics
of the workshop will include: different forms of the Boltzmann
equation; reduced order models for the Boltzmann equation; fast
evaluation of the Boltzmann collision integral; simulations that
account for real gas effects and chemical and electromagnetic
interaction of particles; complex geometry simulations; coupling of
continuum and non-continuum models; and quantification of numerical
error and uncertainty of simulations.

The workshop description and schedule can be found at the link below

To register, please, use the link "CLICK HERE TO PARTICIPATE" located
in the upper right corner of the workshop webpage.

Additional inquiries are welcome at


From: Olaf Schenk <>
Date: Sun, 28 Apr 2013 08:01:38 -0400
Subject: CSCS-USI Summer School, Switzerland, Jul 2013

Call for participation: CSCS-USI Summer School on Computer Simulations
in Science and Engineering, 8-19 July 2013, Lugano, Switzerland

CSCS-USI will be hosting a two-week summer school on parallel
programming aimed at graduate/PhD students who are new to the world of
high performance computing and who wish to learn the basic skills
required to write, develop and maintain parallel applications in
scientific computing. The school will cover topics such as the
principles of parallel programming, distributed memory programming
with MPI, shared memory programming using OpenMP, hybrid programming
with MPI/OpenMP, as well as some advanced topics.

Applications and visualizations are motivated through a simple Finite
Volume solver for the 2D shallow water equations (with application to
tsunami simulations).

You can find additional information at:

- Important Dates: Registration deadline: 2 June, 2013 Summer school:
8-19 July 2013,
- Registration fee: 400 CHF for lunches, coffee break, social event.
- Location: Institute of Computational Science, Università della
Svizzera, Lugano, Switzerland
- Complete information, program and registration:

Organizers: Themis Athanassiadou (CSCS), William Sawyer (CSCS), Olaf
Schenk (ICS), Roberto Croce (ICS)


From: Pamela Bye <>
Date: Fri, 26 Apr 2013 06:52:56 -0400
Subject: IMA Dense Granular Flows, UK, Jul 2013

Monday 1 – Thursday 4 July 2013
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

Themes will include dense granular flow, biological systems,
self-propelled particles and geological flows, exploring new
developments in theoretical analysis and experimental techniques. All
attendees will be provided with an opportunity to present recent work
and there will be substantial time for discussion, both during the
workshop and during the evening! Postgraduate and PhD students are
particularly welcomed and oral presentations will reflect the breadth
of the field.

Confirmed Invited Speakers: Paulo Arratia (University of
Pennsylvania); Vicente Garzó (University of Extremadura); Michel Louge
(Cornell University); Jean-Noël Roux (IFSTTAR); Martin van Hecke
(Leiden Institute of Physics)

Registration is now open. To register, please download, complete and
return an application form from the conference webpage either via
e-mail, fax or by post (details available below).

For further information on this conference, please visit:

For general conference queries please contact Lizzi Lake, Conference Officer
E-mail: Tel: +44 (0) 1702 354 020


From: Daniel Potts <>
Date: Thu, 25 Apr 2013 10:43:28 +0200
Subject: Summer School on Applied Analysis, Germany, Sep 2013

Summer School on Applied Analysis
September 23-27, 2013, Chemnitz, Germany

Description: The summer school is devoted to applied analysis. The
courses, focusing on different aspects of applied analysis, will take
place Monday-Friday during the entire week. It is meant for training
of undergraduate students, Ph.D. students and young post-doc
researchers. The registration is free, but we may limit the number of
participants if necessary.

There will be five general lectures given by the following speakers.
The topics and speakers of the lectures will be

- Adhemar Bultheel, Rational Gauss quadrature
- Charles Johnson, Matrix completion problems
- Paul Nevai, An opinionated peek into approximation theory and
orthogonal polynomials
- Gerlind Plonka-Hoch, Sparse approximation of signals and images
- Maria Rosaria Capobianco, On the numerical solution of
integro-differential equations of Prandtl's type

Further information and online registration is
available on the website:


From: Pamela Bye <>
Date: Fri, 26 Apr 2013 06:51:26 -0400
Subject: IMA Maths in Defence, UK, Oct 2013

3rd IMA Mathematics in Defence 2013
Thursday 24 October 2013, Tom Elliott Conference Centre,
QinetiQ, Malvern, UK

This conference brings together a wide variety of mathematical methods
with defence and security applications. The conference programme will
include keynote speakers, contributed presentations and poster
sessions as well as refreshment breaks for informal discussions. It is
intended for mathematicians, scientists and engineers from industry
and academia, as well as government and military personnel who have an
interest in how mathematics can be applied to defence problems.

The conference will cover the following themes: Data analysis: data
and text mining, data fusion, information visualization,
multidimensional data analysis; Modelling and Estimation:
electromagnetic models, estimation theory, Markov models, non-linear
models, mathematical models, simulation; Operational Analysis: cost
benefit analysis, counter-terrorism, risk management, intelligence
analysis, behaviour analysis; Security: cryptography and coding,
security systems, secure communications; Signal Processing: adaptive
processing, computer vision, digital signal processing, distributed
sensor processing, emitter location, image processing, signal
enhancement, super-resolution, synthetic aperture radar, time series
analysis; Statistical Methods: Bayesian techniques, classification,
detection, identification, Monte Carlo methods, particle filters,
pattern recognition.

Papers or posters will be accepted on the basis of a 300-500 word
abstract which should be submitted by 30 April 2013 by e-mail to Abstracts are expected as follows:
template in Times New Roman, size 10 font:

Contributing author(s) Surname, Initials
Affiliation(s) Department, organisation.

Abstract: 300-500 words only.


From: Robert Stelzer <>
Date: Sun, 28 Apr 2013 09:31:25 -0400
Subject: Modelling, Analysis and Simulation in Economath, Germany, Mar 2014

Conference on Modelling, Analysis and Simulation in Economathematics

Commemorating the end of the successful DFG-funded research training
group “Modelling, Analysis and Simulation in Economathematics”
a conference is organised at Ulm University from Thursday, March 6th
to Saturday March 8th, 2014.

The conference is a satellite meeting to the 11th German Probability
and Statistics Days held at Ulm University from Tuesday, March 4th to
Friday, March 7th, 2014.

A plenary talk by Christoph Schwab (ETH Zurich) is organised jointly
with the 11th German Probability and Statistics Days. Furthermore,
there are going to be a number of invited talks and on Saturday
morning a public panel discussion (in German) on „Ist die
Wirtschaftsmathematik Schuld an der Finanzkrise oder kann sie in
Zukunft helfen, Finanzkrisen zu verhindern?“ is going to be held in
the city centre of Ulm.

Participants from academia, business, as administration and industry
are welcome.

For further information please have a look at .


From: Jose Castillo <>
Date: Tue, 23 Apr 2013 08:01:12 -0700
Subject: Dean Position, San Diego State Univ


San Diego State University (SDSU) is seeking an innovative and
energetic academic leader to serve as Dean of the College of
Engineering for a highly dynamic national public research
university. The College consists of the Departments of Aerospace
Engineering; Civil, Construction and Environmental Engineering;
Electrical and Computer Engineering; and Mechanical Engineering. The
College offers seven undergraduate degree programs, six master’s
degree programs, and a joint Ph.D. in engineering sciences with the
University of California, San Diego. The College also hosts several
Centers including the National Science Foundation-funded Engineering
Research Center (ERC) for Sensorimotor Neural Engineering.

The Dean of the College of Engineering reports to the Provost of the
University and will provide visionary leadership for a 21st century
College of Engineering. The Dean is the chief administrative officer
of the College and is a member of the Academic Deans’ Conference. The
Dean is responsible for guiding, directing and overseeing the
educational programs; for providing leadership for the educational,
research and professional missions of the College; for supervising the
personnel procedures of its faculty and staff; for securing resources;
for representing and promoting the College with external constituents;
and for preparing and administering the budget of the College of

SDSU serves a highly diverse student population of over
32,000. Established in 1897, SDSU offers bachelor degrees in 89 areas,
master’s in 78 and the doctorate in 22. Additional information about
the University and the College is available at and

Qualifications: Earned Ph.D. in an Engineering discipline or related
field. Excellent leadership and interpersonal skills, capable of
promoting collegiality and building consensus, and strong commitment
to shared governance. Experience in the development and management of
research programs. Broad and extensive experience and achievement in
the field of Engineering. Demonstrated ability to secure extramural
support for instructional and research programs. The ability to build
corporate partnerships in San Diego's vibrant technology-based
business community. Willingness and ability to undertake significant
fund-raising and other development activities. An ability to expand
the college's international interests and efforts. An appreciation of
diversity and an ability to work effectively in a multicultural campus
and community setting.

Applications/Nominations: Nominations are welcome, and candidates may
apply directly by sending a letter of application, curriculum vitae,
and the names, addresses and phone/fax numbers of at least five
references. Applications will be kept confidential, and references
will only be contacted with permission of the candidates. The review
of applications will begin on May 1, 2013, although application review
will continue until the position is filled. Preferred starting date is
January 2014. Please send all communications to: Office of the
Provost, Dean of Engineering Search Committee, San Diego State
University, 5500 Campanile Drive, San Diego, CA 92182-8010 or provost@

SDSU is an Equal Opportunity employer and does not discriminate
against persons on the basis of race, religion, national origin,
sexual orientation, gender, marital status, age, disability or veteran
status, including veterans of the Vietnam era.


From: "Lodwick, Weldon" <>
Date: Tue, 23 Apr 2013 17:29:47 -0600
Subject: Tenure Track Position, Applied Math, Univ of Colorado Denver

University of Colorado Denver
Tenure-Track Applied Mathematics

The Department of Mathematical and Statistical Sciences at the
University of Colorado Denver invites applications for a tenure-track
Assistant Professor position in numerical methods and scientific
computing, starting in August 2013. We seek candidates with
demonstrated potential for attracting external research funding and
strong commitment to quality teaching at both undergraduate and
graduate levels. UC Denver requires background investigations for
employment. For more information, visit .

The University of Colorado is committed to diversity and equality in
education and employment.


From: Philip Knight <>
Date: Fri, 26 Apr 2013 18:11:33 +0100
Subject: 25th Biennial Numerical Analysis Conference, Glasgow, Jun 2013

The 25th Biennial Numerical Analysis Conference will be hosted by the
Department of Mathematics and Statistics at the University of
Strathclyde and will be held from June 25th to 28th 2013. Full details
of the meeting, including useful information for delegates when they
arrive, can be found at the website

The organisers would like to remind all (potential) attendees that the
closing date for Early Bird registration and for abstract submission
is April 30th...but we're prepared to give NA Digest subscribers a
week's grace!


From: Victor Didenko <>
Date: Tue, 23 Apr 2013 23:07:05 -0400
Subject: Academic Positions, Univ Brunei Darussalam

Job details:

The Faculty of Science, Universiti Brunei Darussalam is seeking to
appoint 5 academic staff with specialisation in numerical analysis,
statistics, financial mathematics, applied or industrial mathematics,
and algebra. The successful applicants should hold a PhD in
mathematics/statistics, have demonstrated expertise and research
ability in the corresponding field, and have an interest in teaching
undergraduate mathematics and supervising postgraduate
students. Appointments will be considered at all academic ranks
(Professor, Associate Professor, Senior Lecturer and Lecturer)
according to the strength of the candidate field.

For non-citizens of Brunei Darussalam, the appointment will be by
contract for a period of three years which can be renewed subject to
mutual agreement.

For further information, further job specifications and application
details, please visit The closing date for
application is Friday, 31st May, 2013.


From: Ke Chen <>
Date: Tue, 23 Apr 2013 09:46:42 -0400
Subject: Postdoc Position, Imaging, Univ of Liverpool, UK

Applications are invited from outstanding candidates to join the
Department of Mathematical Sciences at the University of Liverpool for
a three year post-doctoral position.

Candidates should have a PhD in Applied/Computational Mathematics and
experience in the area of Numerical Optimisation and PDEs. Knowledge
of variational models, convex analysis, imaging modelling and
programming would be advantageous. Good written and verbal
communication skills and a track record of publication in leading
journals are essential.

The consortium of 4 UK Universities (Liverpool, Edinburgh, Durham and
Heriot- Watt) was recently awarded a major research grant of 1.3
million by the EPSRC to undertake a multidisciplinary project entitled
¡°A novel diagnostic tool: from structural health monitoring to tissue
quality prediction¡±; three more posts will be advertised.

Further details, including salary, can be found at
The closing date for applications is May 24th. Informal enquiries can be
made to Prof. Ke Chen ( /


From: Peter Richtarik <>
Date: Wed, 24 Apr 2013 16:48:53 -0400
Subject: Postdoc Position, Optimization, Univ of Edinburgh, UK

Applications are invited for a 2-year Postdoctoral Research Fellow
position in Optimization in the School of Mathematics at the
University of Edinburgh, United Kingdom. The successful candidate will
join the Edinburgh Research Group in Optimization
( and will be part of a team working
on "Accelerated Coordinate Descent Methods for Big Data Problems".

The fellow will work closely with Dr Peter Richtarik; visiting team
members include Prof Srebro (Chicago) and Prof Nesterov

Position Start Date: September 1, 2013 (it might be possible to
accommodate a later starting date; up to January 1, 2014)

Application Deadline: May 24, 2013 @ 5pm GMT

The ideal candidate will be an enthusiastic and creative individual
with a Ph.D. in Operations Research, Machine Learning, Applied
Mathematics, Computer Science, or a related field and will have strong
track record. Individuals with background in gradient methods for
large-scale optimization and good programming skills are particularly
encouraged to apply.

More information and online application:

For informal inquiries please contact Dr Peter Richtarik at


From: Nick Trefethen <>
Date: Tue, 23 Apr 2013 12:48:06 -0400
Subject: PhD Position, Trefethen, Oxford Univ

Funding is available to support a DPhil (=PhD) student at Oxford
University and Exeter College for a full 3.5 years from October 2013
to work with me and the rest of the Chebfun team in areas related to
numerical computation with functions. The project may be centered
anywhere over a wide range from theory to software design, with the
precise research topic adapted to the successful applicant's
particular strengths and interests. Candidates must have an excellent
mathematical background and serious commitment to numerical
computation. To see the flavor of our work, see my home page and also If you think you might be interested in this
opportunity, please contact me by email and note that a formal
application must be submitted through the Oxford University web site
by May 20.


From: "Dosanjh, Achi, Springer US" <>
Date: Fri, 26 Apr 2013 16:01:19 +0000
Subject: Contents, Stochastic PDEs: Analysis and Computations, 1(1)

The content is available at:

Table of Contents of Volume 1, Issue 1, March 2013 :

Editorial, Stochastic partial differential equations: analysis and
computations, Arnaud Debussche, Boris Rozovsky Pages 1-2

Probabilistic and deterministic algorithms for space multidimensional
irregular porous media equation, Nadia Belaribi, François Cuvelier,
Francesco Russo, Pages 3-62

Weak truncation error estimates for elliptic PDEs with lognormal
coefficients, Julia Charrier, Arnaud Debussche, Pages 63-93

Hitting probabilities for systems of non-linear stochastic heat
equations in spatial dimension k?1, Robert C. Dalang, Davar
Khoshnevisan, Eulalia Nualart, Pages 94-151

A relatively short proof of Itô's formula for SPDEs and its
applications, Nicolai V. Krylov, Pages 152-174

Tightness for a stochastic Allen-Cahn equation, Matthias Röger,
Hendrik Weber Pages 175-203

Adaptive Galerkin approximation algorithms for Kolmogorov equations in
infinite dimensions, Christoph Schwab, Endre Süli Pages 204-239


From: Chi-Wang Shu <>
Date: Tue, 23 Apr 2013 17:11:07 -0400
Subject: Contents, Journal of Scientific Computing, 55(2)

Journal of Scientific Computing
Volume 55, Number 2, May 2013

Adaptive Local Postprocessing Finite Element Method for the
Navier-Stokes Equations, Lina Song, Yanren Hou and Haibiao Zheng,

Space-time Generalized Riemann Problem Solvers of Order k for Linear
Advection with Unrestricted Time Step, Christophe Berthon, Celine
Sarazin and Rodolphe Turpault, pp.268-308.

Radial Slit Maps of Bounded Multiply Connected Regions, Ali
W.K. Sangawi, Ali H.M. Murid and M.M.S. Nasser, pp.309-326.

Generalized Jacobi Approximation in Multiple Dimensions and Its
Applications, Tao Sun and Ben-yu Guo, pp.327-350.

Mapped Hybrid Central-WENO Finite Difference Scheme for Detonation
Waves Simulations, Zhen Gao and Wai Sun Don, pp.351-371.

Numerical Solution of the Kohn-Sham Equation by Finite Element Methods
with an Adaptive Mesh Redistribution Technique, Gang Bao, Guanghui Hu
and Di Liu, pp.372-391.

Analysis of HDG Methods for Oseen Equations, Aycil Cesmelioglu,
Bernardo Cockburn, Ngoc Cuong Nguyen and Jaume Peraire, pp.392-431.

A Finite Element Recovery Approach to Eigenvalue Approximations with
Applications to Electronic Structure Calculations, Jun Fang, Xingyu
Gao and Aihui Zhou, pp.432-454.

Finite Element Computation of KPP Front Speeds in Cellular and Cat’s
Eye Flows, Lihua Shen, Jack Xin and Aihui Zhou, pp.455-470.

Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for
Second-Order Quasilinear Elliptic PDEs, Scott Congreve, Paul Houston
and Thomas P. Wihler, pp.471-497.


From: Chi-Wang Shu <>
Date: Fri, 26 Apr 2013 15:19:04 -0400
Subject: Contents, Journal of Scientific Computing, 55(3)

Journal of Scientific Computing
Volume 55, Number 3, June 2013

A Non-oscillatory Central Scheme for One-Dimensional Two-Layer Shallow
Water Flows along Channels with Varying Width, Jorge Balbas and Smadar
Karni, pp.499-528.

Computing Extremal Eigenvalues for Three-Dimensional Photonic Crystals
with Wave Vectors Near the Brillouin Zone Center, Tsung-Ming Huang,
Yueh-Cheng Kuo and Weichung Wang, pp.529-551.

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous
Galerkin Methods, He Yang, Fengyan Li and Jianxian Qiu, pp.552-574.

An Adaptive Sparse Grid Semi-Lagrangian Scheme for First Order
Hamilton-Jacobi Bellman Equations, Olivier Bokanowski, Jochen Garcke,
Michael Griebel and Irene Klompmaker, pp.575-605.

WENO Schemes and Their Application as Limiters for RKDG Methods Based
on Trigonometric Approximation Spaces, Jun Zhu and Jianxian Qiu,

C0-Nonconforming Triangular Prism Elements for the Three-Dimensional
Fourth Order Elliptic Problem, Hong-Ru Chen, Shao-Chun Chen and
Zhong-Hua Qiao, pp.645-658.

A Posteriori Error Estimates of Discontinuous Galerkin Method for
Nonmonotone Quasi-linear Elliptic Problems, Chunjia Bi and Victor
Ginting, pp.659-687.

Numerical Modeling of Degenerate Equations in Porous Media Flow,
Eduardo Abreu and Duilio Conceicao, pp.688-717.

Reduced Collocation Methods: Reduced Basis Methods in the Collocation
Framework, Yanlai Chen and Sigal Gottlieb, pp.718-737.

An Adaptive P1 Finite Element Method for Two-Dimensional Maxwell’s
Equations, S.C. Brenner, J. Gedicke and L.-Y. Sung, pp.738-754.

End of NA Digest