Subject: NA Digest, V. 97, # 16 NA Digest Sunday, April 20, 1997 Volume 97 : Issue 16 Today's Editor: Cleve Moler The MathWorks, Inc. moler@mathworks.com Today's Topics: Who Invented Euler's Method? Solution Method in Search of Problems Permutations of a Set of Integers Orthogonal Polynomial Archive Coupled Eigenvalue Problem Change of Address for Charles Crawford Change of Address for Feng Xiao Note from a Colleague in Azerbaijan Navier-Stokes Software Available Software for Linear and Mixed Integer Programs New Code for Stiff and Differential-algebraic Equations Announcement of a New Journal Industrial Mathematics Modeling Workshop Southern Ontario Numerical Analysis Day Computational Methods and Function Theory Conference on Modern Group Analysis Studentship at University of Huddersfield Studentship at University of Bristol Postdoctoral Position at Claremont Graduate School Positions at Weierstrass Institute, Berlin Research Position at K. U. Leuven Contents, Applications of Mathematics Contents, SIAM Scientific Computing Contents, Numerical Algorithms Submissions for NA Digest: Mail to na.digest@na-net.ornl.gov. Information about NA-NET: Mail to na.help@na-net.ornl.gov. URL for the World Wide Web: http://www.netlib.org/na-net/na_home.html ------------------------------------------------------- From: Joseph Grcar Date: Mon, 14 Apr 97 13:29:17 -0700 Subject: Who Invented Euler's Method? History question: Why is Euler's method (for discretizing ode's) called Euler's method? Did Euler invent it? If not he, then who? And who is responsible for distinguishing between the explicit and implicit versions as "forward" and "backward"? Regards, Joe Grcar (na.grcar@na-net.ornl.gov) ------------------------------ From: D. Kenneth McLain Date: Mon, 14 Apr 1997 15:25:09 -0400 (EDT) Subject: Solution Method in Search of Problems Consider the following mathematical problem: Given e>0 and complex constants Cjk, j=2,3,...,N, k=1,2,...,j, find dj such that |C21 + C22*exp(i*d2)| < e |C31 + C32*exp(i*d2) + C33*exp(i*d3)| < e . . . |CN1 + CN2*exp(i*d2) + ... + CNN*exp(i*dN)| < e This mathematical problem arises from the physical problem of trying to limit the radial runout of combustion turbine rotors constructed of disks stacked face-to-face. These disks have machining errors resulting in the faces being non-parallel and not aligned. The variables dj are the angular orientations of the disks. I have developed a method of finding a solution to this problem by converting the (N-1)-dimensional search problem into (N-1) sequential one-dimensional search problems. For N=100 I find a solution in a few seconds on a PC. Does anyone know of any other physical problems which are described mathematically by the above set of inequalities? Ken McLain ------------------------------ From: Kwon Park Date: Mon, 14 Apr 1997 22:13:55 EDT Subject: Permutations of a Set of Integers Dear NA-net members, Is there an efficient algorithm for generating all the N! (N-factorial) permutations of a set of N integers? Would appreciate learning about any shareware code or book that addresses this problem. Thank you very much. Kwon (Kwark) Park ------------------------------ From: Jim Epperson Date: Wed, 16 Apr 1997 16:04:12 -0500 (CDT) Subject: Orthogonal Polynomial Archive One can of course learn all one wants to know about the classic orthogonal polynomials in a book such as Abramowitz and Stegun, but I am curious if anyone has archived collections of "non-standard" orthogonal polynomials anywhere. Can anyone point me to a source? I'd hate to re-invent the wheel if there is something out there I can use. Jim Epperson http://members.aol.com/jfepperson/causes.html ------------------------------ From: Ji Wang Date: Fri, 18 Apr 97 08:43:42 PDT Subject: Coupled Eigenvalue Problem Hi: I have a coupled eigenvalue problem like KX+P^T Y=\omega^2 MX, PX-QY=0. The coupling matrices P and Q have very small elements comparing with the principal one, K. For the first part, KX-\omega^2MX=0, I can solve it without any problem. To consider the coupling, I am trying to form a general matrix problem like GZ-\omega^2 LZ=0, with G=[K P^T] L=[M 0] Z=[X] [P - Q], [0 0], [Y]. Apparent this does not work. In the past, people are using pertubation method to get solutions. Are there any techniques to solve the generalized problem rather than going to using perturbation? Any comments and suggestions are welcome. Regards, Ji Wang | Tel: (415)843-8336 Fax: (415)843-9106 Epson Palo Alto Laboratory | Email: jiwang@epal.com 3145 Porter Drive, Suite 104 | Coordinates: N 37.40806 W 122.14941 Palo Alto, CA 94304-1224 | WWW: http://soil.princeton.edu/~jiwang ------------------------------ From: Charles Crawford Date: Mon, 14 Apr 1997 22:17:31 -0400 Subject: Change of Address for Charles Crawford Greetings: I am moving electronically (not geographically) to a new address: ccrawfor@interlog.com -- Charles Crawford formerly at 72163.3476@compuserve.com ------------------------------ From: Xiao Feng Date: Tue, 15 Apr 1997 17:32:16 +0900 (JST) Subject: Change of Address for Feng Xiao I have moved to The Institute of Physical and Chemical Research (RIKEN) from Gunma University since the beginning of April. My new coordinates are: Feng Xiao Computational Science Laboratory Institute of Physical and Chemical Research(RIKEN) Hirosawa 2-1, Wako-shi, Saitama, 351-01, Japan xiao@atlas.riken.go.jp ------------------------------ From: Vagif Ibrahimov Date: Wed, 16 Apr 1997 11:02:05 +0400 Subject: Note from a Colleague in Azerbaijan Dear colleagues, I want to remind you of the economical situation in our Republic of Azerbaijan, because of it we cannot receive scientific journals and we are distracted from scientific world. Naturally scientific world cannot receive some information about our researches. Therefore I want to know, how can you help me? Maybe for finding some funding to support my participate in conferences (I received some invitation from the conferences. Problem is in financial difficulty) or help me to fined some position for teaching at the Universities. I send you some information about me. We inverstigate nimerical solution of the initial value problem for the ODE arbitrary orders. For this aim consider multistep multiderivative methods (k-step Obrechkoff's methods) with constant coefficients. We determined the maximal values of the degree (maximal exactness of the considered methods) for the stable explicit, implicit and forward-jumping methods. Also we inverstigated l-stable methods. We suggested multistep multiderivative methods for solving ODE arbitrary orders and show that it is effective. Constructed A-stable method with the high degree ( degree p>2) by the k-step method with the arbitrary coefficicnts and by the multistep multiderivative forward-jumping methods. These results are developming some G.Dahlquist and A.Iserles and S.P.Norsett's results. Now we research to determine the sign of some coefficients in multi-step multiderivative and in k-step forward-jumping method and relation among them. More information about my work, including a curriculum vitae, is available on request. Sincerely Vagif Ibrahimov Contact adress: Faculty Mechanics and Mathematics, Baku State University M. Rasulzadeh Z. Khalilov str. 23, Baku 370148 Azerbaijan Republic Home adress: 370006, Baku-6, pr. N. Narimanov 51/53, flat 29, tel: 39-46-74 Fax: 0099412 + 973029 E-mail: nasib@lan.ab.az ------------------------------ From: Stefan Turek Date: Fri, 18 Apr 1997 15:14:33 +0200 Subject: Navier-Stokes Software Available Dear colleagues, Our FEM software for incompressible Navier-Stokes equations, FEATFLOW1.0, including all sources, manuals and many (!) demos for nonstationary flows (as MPEG movies), is "downloadable" via Internet, see http://gaia.iwr.uni-heidelberg.de/~featflow Stefan Turek Institut fuer Angewandte Mathematik, Universitaet Heidelberg, Germany ture@gaia.iwr.uni-heidelberg.de http://gaia.iwr.uni-heidelberg.de/~ture ------------------------------ From: Harvey Greenberg Date: Wed, 16 Apr 1997 12:25:07 -0600 (MDT) Subject: Software for Linear and Mixed Integer Programs April 16, 1997 The linux versions of ANALYZE, MODLER and RANDMOD, as well as that of MINOS, have been re-compiled with linux 2.0.0. The DOS version of MODLER 9.0 has also been updated. These systems are for linear and (mixed) integer programs. ANALYZE - computer-assisted analysis. MODLER - modeling language. RANDMOD - randomizing instances (for experimentation). For details please go to the software segment of my web page at http://www-math.cudenver.edu/~hgreenbe/consortium/software.html April 19, 1997 I have added "A Laboratory Manual for Teaching Linear Programming with MODLER and ANALYZE". This is a web (html) version of the June 1994 printed version. It contains 29 exercises in four categories: Basic structures, Formulation and Analysis, Binary variables and logical contstraints, and Advanced exercises. The lab manual is on a new page of mine, called my "courseware page," at www-math.cudenver.edu/~hgreenbe/courseware/labman.html You will also find an LP Short course I am developing, and I welcome your comments as I shall be completing it this year. Please see my mathematical programming glossary and tell me what you think. Feel free to link to it. Thanks, Harvey J. Greenberg hgreenbe@carbon.cudenver.edu ------------------------------ From: Jeff Cash Date: Thu, 17 Apr 97 17:27:47 BST Subject: New Code for Stiff and Differential-algebraic Equations NEW CODE This is to announce a new code mebdfdae.f for the solution of stiff initial value problems and differential algebraic equations in linearly implicit form. The underlying algorithm is based on modified extended backward differentiation formulae. These formulae have considerably better stability than BDF and are A-Stable up to order 4 and A(alpha)-Stable up to order 9. Results for mebdfdae.f on the stiff DETEST test set together with the corresponding results for STRIDE, RADAU5, LSODE and DESI (which may be used as comparisons) are available by anonymous ftp and the web. Also available are results for most of the test problems in the book of Hairer and Wanner. The main addition is that results are also given for a set of DAEs of index 1-3 taken from a variety of texts. These include pendulum problems, spring problems and some of the challenging problems from the Amsterdam test set. The code, drivers and results are available from: email from the author, WWW: http://www.ma.ic.ac.uk/~jcash/IVP_software/readme.html Any comments (good or bad) will be gratefully received by the author on j.cash@ic.ac.uk -- Jeff Cash ------------------------------ From: Gaetano Continillo Date: Fri, 18 Apr 97 13:48:45 METDST Subject: Announcement of a New Journal Although not exactly centered on numerical analysis, Combustion Theory and Modelling is a journal that has a broad overlap with NA topics, that often constitute the spinal chord of modern mathematical modelling of combustion phenomena. Regards Gaetano Continillo Editor Combustion Theory and Modelling (gaetano@irc.na.cnr.it) Announcement of a new journal: Combustion Theory and Modelling Combustion Theory and Modelling is a new quarterly journal by the Institute of Phisics Publishing, for the publication and dissemination of scientific articles that apply mathematical theory, modelling, numerical simulation and experimental techniques to the study of combustion. Editors-In-Chief are Bill Dold, UMIST, Manchester, UK and Mitch Smooke, Yale University, New Haven, CT, USA. With its international Editorial Board, Combustion Theory and Modelling will focus on providing the highest quality forum for articles that explain combustion phenomena and that explore the predictions and properties of combustion models from a modern mathematically-based viewpoint. The journal encourages submissions on fundamental theoretical investigations into all aspects of combustion, aimed at gaining a deeper understanding of its various phenomena and at strengthening the predictive power of theoretical methods. Articles can cover a wide range of topics such as: premixed laminar flames, laminar diffusion flames, turbulent combustion, fires, chemical kinetics, pollutant formation, microgravity, materials synthesis, vapour deposition, catalysis, droplet and spray combustion, detonation dynamics, thermal explosions, ignition, energetic materials and propellants, burners and engine combustion. A wide range of mathematical methods may also be used, including large scale numerical simulation, hybrid computational schemes, front tracking, adaptive mesh refinement, optimised parallel computation, asymptotic methods and singular perturbation theory, bifurcation theory, optimisation methods, dynamical systems theory, cellular automata and discrete methods, probabilistic and statistical methods, and rigorous proofs for mathematical problems that are posed directly from models of combustion. Combustion Theory and Modelling also accepts multimedia material and would like to encourage the submission of multimedia supplements to regular articles. Submissions should be sent to The Managing Editor Combustion Theory and Modelling Institute of Physics Publishing Dirac House Temple Back Bristol BS1 6BE UK More information is available at http://www.iop.org/Journals/ct. ------------------------------ From: Hien Tran Date: Fri, 18 Apr 1997 16:04:29 -0400 Subject: Industrial Mathematics Modeling Workshop 1997 Industrial Mathematics Modeling Workshop for Graduate Students August 4-12, 1997 Center for Research in Scientific Computation North Carolina State University OBJECTIVES: * to expose 30 graduate students in mathematics and statistics to the challenging and exciting real-world problems from industry and government laboratories * to introduce students to the team approach to problem solving FORMAT: In the Workshop the students will be divided into six teams to work on "industrial mathematics" problems brought on by experienced applied mathematicians. These problems are not academic exercises found in classrooms, but rather challenging, real-world problems from industry or applied science and require fresh, new insight for their formulation and solution. In last year Workshop, the problems were presented by scientists and researchers from Aerospace Corporation, Armstrong Lab. at Brooks AFB, Chemical Industry Institute of Toxicology, Hughes Aircraft Company, Lord Corporation and National Security Agency. The problem presenters for this year Workshop are being recruited and their names will be announced subsequently. ORGANIZERS: Fernando Reitich, North Carolina State University Jeffrey Scroggs, North Carolina State University Hien Tran, North Carolina State University APPLICATION PROCEDURE: Graduate students in mathematics, applied mathematics, numerical analysis, statistics or operations research can be nominated for this program by a faculty member by sending a letter of recommendation. In addition, the student is required to send in a copy of a recent transcript. The deadline for application is June 30, 1997. The Workshop will cover all local living expenses and will provide partial support for travel to all U.S. citizens and permanent residents (subject to funding availability). Funding for this Workshop has been requested with the National Security Agency and the National Science Foundation. Submit your complete applications or any inquiries you may have concerning this Workshop to: Hien T. Tran Center for Research in Scientific Computation Box 8205 North Carolina State University Raleigh, NC 27695-8205 Telephone: (919) 515-8782 Fax: (919) 515-1636 e-mail: tran@control.math.ncsu.edu Web-address: http://www2.ncsu.edu/immworkshop/announce.html ------------------------------ From: Ken Jackson Date: Fri, 18 Apr 1997 19:09:56 -0400 Subject: Southern Ontario Numerical Analysis Day The Fifteenth Annual Southern Ontario Numerical Analysis Day will be held on Wednesday, 30 April 1997, in the Computer Science Department of the University of Toronto. The meeting will begin at 9:00 a.m. and end at about 6:30 p.m. The distinguished speaker for the day is Professor Bob Russell of the Mathematics Department of Simon Fraser University. Bob will give a one-hour talk on "A Moving Mesh Method for Higher Dimensional PDEs". In addition, there will be 10 contributed talks of 25 minutes each, and 3 posters. All contributed talks will be given in the plenary session; there will be no parallel sessions. The posters will be presented during a short reception following the talks. There is no registration fee for the conference, but we request that you register by April 21 to help us prepare for the meeting. For more information on NA Day, including the program, list of talks and posters, and to register for the meeting, see our web page http://www.cs.utoronto.ca/~naday If you do not have access to the web, email us at naday@cs.utoronto.ca ------------------------------ From: Nikos Stylianopoulos Date: Sat, 19 Apr 1997 11:45:25 +0300 (WET) Subject: Computational Methods and Function Theory UNIVERSITY OF CYPRUS Second announcement of the International Conference Computational Methods and Function Theory '97 Organizers: N. Papamichael (Nicosia), St. Ruscheweyh (Wurzburg), E.B. Saff (Tampa) Nicosia, Cyprus October 13-17, 1997 The University of Cyprus will host the 1997 International Conference on Computational Methods and Function Theory (CMFT '97) at the Philoxenia Hotel in Nicosia from Monday, October 13 to Friday, October 17, 1997. The meeting will be the third of a series of such conferences, the first of which was held in Valapraiso, Chile, in 1989 and the second in Penang, Malaysia, in 1994. The general theme of the meeting concerns the various aspects of interaction of complex variables and scientific computation, but other areas from function theory, approximation theory and numerical analysis are also covered. Because of its geographical position, Cyprus offers itself as an ideal place for the fulfillment of one of the major objectives of the the CMFT meetings which is: ``to assist in the creation and maintenance of contacts of scientists from diverse cultures''. There will be nine invited 50-minute addresses as follows: V.V. Andrievskii, Donetsk, Ukraine, Zeros of polynomials in the complex plane L.L. Baratchart, Sophia-Antipolis, France, Rational or meromorphic approximation in Hardy spaces and Morse theory P.L. Duren, Ann Arbor, Michigan, USA, Robin capacity F.W. Gehring, Ann Arbor, Michigan, USA, Title to be announced later A.L. Levin, Open University, Tel Aviv, Israel, Fast decreasing rationals and their applications A.Y. Solynin, St. Petersburg, Russia, Conformal invariants: Some extremal problems and estimates S. Smale, City University, Hong Kong Issues of complexity and condition in complex variables K. Stephenson, Knoxville, Tennessee, USA, The approximation of conformal structures via circle packing E. Wegert, Freiberg, Germany, Nonlinear Riemann-Hilbert problems - History and perspectives There will be several sessions for contributed 25-minute papers. The abstracts of such contributed papers should be submitted to the Local Organizing Committee, preferably by e-mail (using LaTeX), by May 15, 1997. Late submissions are not going to be considered. Participants will be notified about acceptance by May 31, 1997. All correspondence and inquiries should be addressed (preferably by e-mail or fax) to: The Local Organizing Committee (CMFT'97), Department of Mathematics and Statistics, P.O. Box 537, CY 1678 Nicosia, Cyprus Phone : +357-2-338701 Fax : +357-2-339061 e-mail : cmft97@pythagoras.mas.ucy.ac.cy For additional and updated conference information, please visit the World Wide Web home page http://www.ucy.ac.cy/cmft97.html. ------------------------------ From: Arne Marthinsen Date: Sun, 20 Apr 1997 13:09:20 +0200 Subject: Conference on Modern Group Analysis International Conference MODERN GROUP ANALYSIS VII Lie Groups and Contemporary Symmetry Analysis Sophus Lie Conference Center, Nordfjordeid Norway, June 30-July 5, 1997 SECOND ANNOUNCEMENT Chairman of the Scientific Committee: Nail H. Ibragimov (South Africa) Chairman of the Organizing Committee: Eldar Straume (Norway) The 7th International Conference on Modern Group Analysis will take place in Nordfjordeid, Norway, from Monday, June 30, to Saturday, July 5, 1997. Arrival day is Sunday June 29. The aim of the conference is to bring together leading scientists in this field. The main topics of the conference will include: * Classical heritage and historical aspects of Lie group analysis * Invariant and partially invariant solutions of differential equations * Applications in fluid mechanics * Symmetries in mathematical physics and physical chemistry * Geometric and group theoretic analysis of initial value problems * Applications in mathematics of finance and in industrial problems * Approximate groups,perturbation methods and deformations of Lie algebras * Group analysis of integro-differential and finite-difference equations * Nonlocal, conditional and other generalized symmetries * Computational aspects The Organizers are pleased to report that more than 60 abstracts have been received. Potential participants who are not already on our mailing list should contact us as soon as possible to be registered. The conference marks the formal opening of the Sophus Lie Conference Center, and on this occasion recent biographical research on Sophus Lie will be featured. In particular, two exhibitions will be presented at the Center, and a biographical talk about Sophus Lie will be given during the conference. More information is available at URL: http://www.math.ntnu.no/conferences/lie/ Questions may be addressed by email to the organizing committee: sophus.lie@math.ntnu.no ------------------------------ From: I. J. Anderson Date: Mon, 14 Apr 1997 10:06:00 +0100 Subject: Studentship at University of Huddersfield EPSRC CASE Studentship in Computational Mathematics at University of Huddersfield A 3-year CASE Project Award of an EPSRC PhD studentship plus an additional GBP 2500 per annum is available from Sep/Oct 1997 with Professor J C Mason in the School of Computing and Mathematics at the University of Huddersfield. The project, "Approximation Algorithms for Data Fusion in Metrology", is in cooperation with Professor M G Cox of the National Physical Laboratory and involves data approximation techniques, as well as related Kalman filtering and statistical alternatives, for combining data sets of differing character in industrial measurement. It will have a high mathematical and numerical content, and contact with industry. Applicants should have or expect a 2(i) honours degree or better in a numerate discipline. Other relevant (e.g., MSc) experience would be welcome. CASE students are normally fully funded only for UK residents, but EC students may be funded on a "fees only" basis. Please contact : Prof J.C.Mason School of Computing and Mathematics University of Huddersfield Queensgate, Huddersfield United Kingdom HD1 3DH Phone : 01484 472680 01484 473133 Email : j.c.mason@hud.ac.uk ------------------------------ From: Yves Tourigny Date: Tue, 15 Apr 1997 11:16:07 +0100 (BST) Subject: Studentship at University of Bristol Ph.D studentship in computational PDEs at Bristol There is an opportunity for a suitably qualified graduate to work on an EPSRC funded project studentship in the area of computational partial differential equations, starting in October 1997. The studentship is part of a project entitled "Moving mesh multilevel methods for partial differential equations". The aim of the project is to extend a moving mesh technique recently developed for elliptic equations to problems of fluid flow. EC citizens are eligible for full funding. For students from countries outside the EC, the studentship does not cover the fees in full. Please contact Yves Tourigny (Y.Tourigny@bris.ac.uk) for further details. General information on postgraduate studies within the Applied Mathematics and Numerical Analysis Group, School of Mathematics, University of Bristol, can be found at the URL http://www.maths.bris.ac.uk/~amnag/pg.html ------------------------------ From: Mary Solberg Date: Tue, 15 Apr 1997 14:28:07 -0700 Subject: Postdoctoral Position at Claremont Graduate School POST-DOC POSITION MCDONNELL DOUGLAS AEROSPACE, LONG BEACH AND CLAREMONT GRADUATE SCHOOL Applications are invited from recent math sciences Ph.D.'s for a post-doc position jointly funded by the NSF Mathematical Sciences University-Industry Post-Doctoral Program and McDonnell Douglas Aerospace. The mentors are Tuncer Cebeci from Douglas and Ellis Cumberbatch from Claremont. The research will involve studies in computational fluid dynamics. Candidates should have strong backgrounds in numerical analysis, computer programming and fluid dynamics. The position is open immediately, and is currently funded for twelve months. The position requires US citizenship or permanent resident status. Applications will be closed June 2, 1997, but an appointment may be made before that date. A vita and three reference letters should be sent to Ellis Cumberbatch, Mathematics Department Claremont Graduate School, Claremont, CA 91711 Phone: 909-621-8080. Email: cumberbe@cgs.edu CGS is an affirmative action/equal opportunity employer and encourages applications from minorities and women. ------------------------------ From: WIAS-Berlin Date: Tue, 15 Apr 97 10:50:05 +0200 Subject: Positions at Weierstrass Institute, Berlin Weierstrass Institute for Applied Analysis and Stochastics (WIAS) The Weierstrass Institute is an institute of the Forschungsverbund Berlin. WIAS performs mathematical research projects in various fields of the applied sciences. These research projects include: * Modeling in cooperation with researchers from the applied sciences * Mathematical analysis of these models * Development of numerical algorithms and software * Numerical simulation of processes in economy, science and technology For further information, please contact the WIAS-Server http://www.wias-berlin.de The Weierstrass Institute offers research positions starting 01.07.1997 for new projects jointly funded by the German ministry for science, education and research (BMBF). For further information, please contact the WIAS-Server http://www.wias-berlin.de/WIAS_Jobs ------------------------------ From: Dirk Roose Date: Thu, 17 Apr 1997 09:14:37 +0200 Subject: Research Position at K. U. Leuven Research position at K.U.Leuven on Dynamic Load Balancing for Parallel Scientific Computing The Scientific Computing research group at the dept. Computer Science, K.U.Leuven, Belgium, has a vacancy for a researcher on a project about dynamic load balancing for parallel finite element applications. In this project, the Scientific Computing group of the K.U.Leuven will collaborate with four other partners (in Germany and France) on the development of dynamic load balancing techniques for parallel finite element software packages, for time-dependent simulations using adaptive meshes. These algorithms will be integrated in two commercial softwares. This is a project in the Information Technology program of the E.C. (Esprit, 'Long Term Research'). The position is available for 2 years, starting September 1997. Candidates with a Ph.D. should have experience in numerical methods, parallel computing and/or software development. Also candidates without a Ph.D. can apply: the research may be continued via other projects and can lead to a Ph.D. More information about the research group can be found at http://www.cs.kuleuven.ac.be/cwis/research/natw/research-E.shtml . Interested candidates should send their C.V. to : Prof. D. Roose Dept. Computer Science, K.U.Leuven Celestijnenlaan 200A B-3001 Heverlee-Leuven Phone: + 32-16-32 75 46 Fax: + 32-16-32 79 96 Email: Dirk.Roose@cs.kuleuven.ac.be ------------------------------ From: Prikryl Date: Mon, 14 Apr 1997 09:19:00 -0100 Subject: Contents, Applications of Mathematics CONTENTS Application of Mathematics, Volume 42, No. 3 M. D. Esteban: A general class of entropy statistics 161--170 J. Haslinger, R. A. E. M\"{a}kinen: Shape optimization of materially non-linear bodies in contact 171--194 O. Do\v{s}l\'{y}: A remark on polyconvex envelopes of radially symmetric functions in dimension 22 195--212 O. Lindblom, R. N\"{a}slund, L.-E. Persson, K.-E. F\"{a}llstr\"{o}m: A study of bending waves in infinite and anisotropic plates 213--232 S. Korotov: On equilibrium finite elements in three-dimensional case 233--242 Book reviews ------------------------------ From: Edward Sisson Date: Mon, 14 Apr 97 09:54:16 EST Subject: Contents, SIAM Scientific Computing SIAM Journal on Scientific Computing Volume 18, Number 3, MAY 1997 CONTENTS An Accurate and Robust Flux Splitting Scheme for Shock and Contact Discontinuities Yasuhiro Wada and Meng-Sing Liou A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes J. S. Hesthaven Parallel Algorithms for Adaptive Mesh Refinement Mark T. Jones and Paul E. Plassmann Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension Randall J. LeVeque and Zhilin Li Time-Marching Algorithms for Nonlocal Evolution Equations Based Upon "Approximate Approximations" Vladimir Karlin and Vladimir Maz'ya Regularization of Higher-Index Differential-Algebraic Equations with Rank-Deficient Constraints Linda R. Petzold, Yuhe Ren, and Timothy Maly Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions Anil K. Bangia, Paul F. Batcho, Ioannis G. Kevrekidis, and George Em. Karniadakis Parallel Algorithms for the Spectral Transform Method Ian T. Foster and Patrick H. Worley Parallel Preconditioning with Sparse Approximate Inverses Marcus J. Grote and Thomas Huckle Orderings for Parallel Conjugate Gradient Preconditioners S. A. Stotland and J. M. Ortega A Parallelizable Eigensolver for Real Diagonalizable Matrices with Real Eigenvalues Steven Huss-Lederman, Anna Tsao, and Thomas Turnbull Computing Least Area Hypersurfaces Spanning Arbitrary Boundaries Harold R. Parks and Jon T. Pitts Computation of Invariant Tori by the Fourier Methods Huang Mingyou, Tassilo Kupper, and Norbert Masbaum On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method Tony F. Chan, P. Ciarlet, Jr., and W. K. Szeto Timely Communication Multiscale Algorithm for Atmospheric Data Assimilation Achi Brandt and Leonid Yu. Zaslavsky ------------------------------ From: Baltzer Science Date: Thu, 17 Apr 1997 16:03:50 +0200 Subject: Contents, Numerical Algorithms Numerical Algorithms 14 (1997) 1-3 Special Issue: Dynamical Numerical Analysis Editors: Luca Dieci, Don Estep and Eric Van de Velde Luca Dieci, Don Estep and Eric Van de Velde Preface Uri M. Ascher Stabilization of invariants of discretized differential systems 1-24 W.-J. Beyn and J.-M. Kleinkauf Numerical approximation of homoclinic chaos 25-53 Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer Long periodic shadowing 55-78 Luca Dieci and Jens Lorenz Lyapunov-type numbers and torus breakdown: numerical aspects and a case study 79-102 E. J. Doedel, M. J. Friedman and B. I. Kunin Successive continuation for locating connecting orbits 103-124 Mark E. Johnson, Michael S. Jolly and Ioannis G. Kevrekidis Two-dimensional invariant manifolds and global bifurcations: some approximation and visualization studies 125-140 Peter E. Kloeden and Bjoern Schmalfuss Nonautonomous systems, cocycle attractors and variable time-step discretization 141-152 Martin W. Lo Libration point trajectory design 153-164 Andrei A. Lyashenko On the stability of the spectral Galerkin approximation 165-178 James C. Robinson Convergent families of inertial manifolds for convergent approximations 179-188 Tony Shardlow Inertial manifolds and linear multi-step methods 189-209 M. W. Smiley Numerical bifurcation and stability analysis for steady-states of reaction diffusion equations 211-225 A. M. Stuart Probabilistic and deterministic convergence proofs for software for initial value problems 227-260 Alexander Tovbis Homoclinic connections and numerical integration 261-267 ------------------------------ End of NA Digest ************************** -------