Send mail to: mgnet@cs.yale.edu for the digests mgnet-requests@cs.yale.edu for comments or help Anonymous ftp repository: casper.cs.yale.edu (128.36.12.1) World Wide Web: http://www.yale.edu (access through the CS Department) Today's editor: Craig Douglas (douglas-craig@cs.yale.edu) Volume 4, Number 7 (July 31, 1994) Today's topics: Copper Mountain 95 Date Change Flame Studies (2 articles) New Journal Recent Additions to mgnet.bib ------------------------------------------------------- Date: Tue, 19 Jul 94 06:54:26 -0600 From: Steve McCormick Subject: Copper Mountain 95 Date Change CHANGE OF DATES FOR COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS Due to incorrect estimates by Copper Mountain Resorts of their low season schedule, we have found it advisable to move the conference back one week. We apologize if this has caused any inconvenience. However, we will also take this opportunity to change the cost of student registration: it is now gratis. Please encourage students to attend and/or submit a paper to the student competition! COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS Copper Mountain, Colorado April 2 - April 7, 1995 CONFERENCE DEADLINES Student Papers Dec. 1, 1994 Abstracts Jan. 1, 1995 Lodging Reservations Feb. 28, 1995 Early Registration Feb. 28, 1995 Papers for Proceedings Apr. 2, 1995 (at conference) Editor's Note: I edited Steve's ad for the conference down in size. ------------- The full text is similar to what was in the last digest; it is in mgnet/conferences/copper95.txt. ------------------------------------------------------- From: douglas-craig (Craig Douglas) Date: Fri, 15 Jul 1994 07:11:46 -0400 Subject: Flame Studies (2 articles) Multigrid solution of flame sheet problems on serial and parallel computers Craig C. Douglas Alexandre Ern Mitchell D. Smooke ABSTRACT Flame sheet problems are on the natural route to the numerical solution of detailed chemistry, laminar diffusion flames, which, in turn, are important in many engineering applications. In order to model the flame structure more accurately, we use the vorticity-velocity formulation of the fluid flow equations instead of the more traditional stream function-vorticity approach. The numerical solution of the resulting nonlinear coupled elliptic partial differential equations involves damped Newton iterations, adaptive grid procedures, and multigrid methods. We focus on nonlinear damped Newton multigrid, using either one way or correction schemes. Results on serial and parallel processors are presented. Editor's Note: in mgnet/papers/Douglas-Ern-Smooke/fsheet.ps and ------------- mgnet/papers/Douglas-Ern-Smooke/fsheet.abs. Numerical Simulation of Laminar Diffusion Flames Craig C. Douglas Alexandre Ern Mitchell D. Smooke ABSTRACT Not too long ago, anyone wanting to solve large science or engineering problems had to first get access to a supercomputer costing millions of dollars. Quite recently, a new breed of relatively inexpensive work stations became widely available. These machines have scalar peak speeds of 30--275 megaflops with ones on the horizon of 400 or more (which compares rather favorably with vector supercomputers of not so long ago). While these rates are only seen for simple problems like dense matrix--matrix multiplication, the rates seen for many problems are quite high. In this article, we describe a class of problems which can now be solved on machines individuals can afford to own rather than just on ones costing millions of dollars. Of course, the problem with using a single one of these machines is that the option of connecting a collection of machines together or buying a parallel version of the work station becomes more and more tantalizing. In fact, during the course of two years we did all of the above. We started on a single machine with a 100 megaflop peak rate (an IBM RISC System/6000 model 560 computer). Then we used a farm of the IBM's, an IBM SP1, and finally an SP2. Due to a nice feature of the communications' library we used (EUIH), the executables worked on the ethernet at Yale or on the fast switches in the SP1/SP2's without either recompiling or relinking. Editor's Note: in mgnet/papers/Douglas-Ern-Smooke/laminar.ps and ------------- mgnet/papers/Douglas-Ern-Smooke/laminar.abs. ------------------------------------------------------- From: AOH Axelsson Date: Sun, 17 Jul 1994 15:58:01 +0200 Subject: New Journal A NEW JOURNAL PUBLISHED BY WILEY NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS ------------------------------------------ Aims and Scope This journal is directed at researchers in Numerical Analysis, Computer Sciences and Natural Sciences, engineers and economists who either take part in the development of methods in Numerical Linear Algebra or use such methods in their research. Topics covered include (but are not limited to): -Conjugate Gradients like and other iterative methods; -Preconditioning Methods; Direct Solution Methods; -Numerical Methods for Eigenproblems; -Newton-like Methods for Nonlinear Equations; -Parallel and Vectorizable Algorithms in Num. Lin. Algebra; -Application of Methods of Numerical Linear Algebra in Science, Engineering and Economics. The journal emphasizes mathematical rigour in presenting new methods in Numerical Linear Algebra including their analysis and applications. Where it turns out to be difficult to give full mathematical rigour to the presentation, well-chosen numerical test problems can suffice to demonstrate the usefulness of the presented method, if these are accompanied by a discussion and heuristic explanations. The journal also emphasizes analysis of the computational and communication complexity of algorithms in Numerical Linear Algebra when implemented on different computer architectures. The journal solicits original research papers and survey articles. All papers should contain a discussion indicating in which area(s) the approach, suggested in the paper, can be used. The authors should strive at ensuring that the presented methods are easily understandable by as broad a spectrum of readers as possible. Initial submission: Four copies of the manuscript should be sent to the Managing Editor: Professor Owe Axelsson Faculty of Mathematics and Informatics University of Nijmegen Toernooiveld 6525 ED Nijmegen THE NETHERLANDS Editor's Note: They publish multigrid papers in this journal for sure ------------- and probably domain decomposition ones, too. ------------------------------------------------------- From: douglas-craig (Craig Douglas) Date: Fri, 29 Jul 1994 18:14:01 -0400 Subject: Recent Additions to mgnet.bib 2134 entries, 105 pages, and growing, but who is counting? \documentstyle[12pt]{siam} \sloppy \begin{document} \bibliographystyle{siam} \begin{thebibliography}{10} \bibitem{SKacou_IDParsons_1993a} {\sc S.~Kacou and I.~D. Parsons}, {\em A parallel multigrid method for history dependent elastoplasticity computations}, Comput. Meth. Appl. Mech. Engrg., 108 (1993), pp.~1--21. \bibitem{TKalkreuter_1992c} {\sc T.~Kalkreuter}, {\em Improving multigrid and conventional relaxation algorithms for propagators}, Int. J. Mod. Phys. C, Phys. Comput., 3 (1992), pp.~1323--1332. \bibitem{TKalkreuter_1993a} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Idealized multigrid algorithm for staggered fermions}, Phys. Rev. D (Particles and Fields), 48 (1993), pp.~1926--1930. \bibitem{TKalkreuter_1993b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Multigrid for propagators of staggered fermions in four dimensional {SU}(2) gauge fields}, Nucl. Phys. B, Proc. Suppl., 30 (1993), pp.~257--260. \bibitem{AEKanarachos_IPVournas_1993a} {\sc A.~E. Kanarachos and I.~P. Vournas}, {\em Multigrid technique for the compressible {E}uler and {N}avier--{S}tokes equations}, Eng. Comput., 10 (1993), pp.~123--137. \bibitem{YHKim_NZCho_1993a} {\sc Y.~H. Kim and N.~Z. Cho}, {\em Parallel solution of the neutron diffusion equation with the domain decomposition method on a transputer network}, Nucl. Sci. Eng., 114 (1993), pp.~252--270. \bibitem{MKocvara_1993a} {\sc M.~Ko{\v c}vara}, {\em Adaptive multigrid technique for three--dimensional elasticity}, J. Numer. Meth. Engrg., 36 (1993), pp.~1703--1716. \bibitem{BKoren_EVDMaarel_1993a} {\sc B.~Koren and E.~van~der Maarel}, {\em On steady, inviscid shock waves at continuously curved, convex surfaces}, Theoretical Comput. Fluid Dyn., 4 (1993), pp.~177--195. \bibitem{CHLai_HJJTRiele_1993a} {\sc C.~H. Lai and H.~J.~J. te~Riele}, {\em Solving some 1--{D} semiconductor device problems on a matrix coprocessor using a domain decomposition method}, Supercomputer, 10 (1993), pp.~24--32. \bibitem{MHLallemand_BKoren_1993a} {\sc M.~H. Lallemand and B.~Koren}, {\em Iterative defect correction and multigrid accelerated explicit time stepping schemes for the steady {E}uler equations}, SIAM J. Sci. Comput., 14 (1993), pp.~953--970. \bibitem{MLLaursen_JCVink_1993a} {\sc M.~L. Laursen and J.~C. Vink}, {\em Multigrid updating of compact {U}(1) gauge fields in four dimensions}, Nucl. Phys. B, B401 (1993), pp.~745--754. \bibitem{PGLauwers_TWittlich_1993a} {\sc P.~G. Lauwers and T.~Wittlich}, {\em Inversion of the fermion matrix in lattice {QCD} by means of parallel transported multigrid ({PTMG})}, Int. J. Modern Phys. C (Phys. Comput.), 4 (1993), pp.~609--620. \bibitem{PGLauwers_TWittlich_1993b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Parallel transported multigrid ({PTMG}) for inverting the {D}irac operator in {SU}(3) lattice gauge theory}, Nucl. Phys. B, Proc. Suppl., 30 (1993), pp.~261--264. \bibitem{MPLeclercq_BStoufflet_1993a} {\sc M.~P. Leclercq and B.~Stoufflet}, {\em Characteristic multigrid method application to solve the {E}uler equations with unstructured and unnested grids}, J. Comput. Phys., 104 (1993), pp.~329--346. \bibitem{KMLee_CCJKuo_1993a} {\sc K.~M. Lee and C.~C.~J. Kuo}, {\em Shape from shading with a linear triangular element surface model}, IEEE Trans. Pattern Analysis and Machine Intelligence, 15 (1993), pp.~815--822. \bibitem{BLi_DEReeve_CAFleming_1993a} {\sc B.~Li, D.~E. Reeve, and C.~A. Fleming}, {\em Numerical solution of the elliptic mild-slope equation for irregular wave propagation}, Coastal Eng., 20 (1993), pp.~85--100. \bibitem{SYLin_TMWu_1993a} {\sc S.~Y. Lin and T.~M. Wu}, {\em An adaptive multigrid finite volume scheme for incompressible {N}avier {S}tokes equations}, Int. J. Numer. Meth. Fluids, 17 (1993), pp.~687--710. \bibitem{CLiu_ZLiu_1993a} {\sc C.~Liu and Z.~Liu}, {\em High order finite difference and multigrid methods for spatially evolving instability in a planar channel}, J. Comput. Phys., 106 (1993), pp.~92--100. \bibitem{FLiu_AJameson_1993a} {\sc F.~Liu and A.~Jameson}, {\em Multigrid {N}avier {S}tokes calculations for three dimensional cascades}, AIAA J., 31 (1993), pp.~1785--1791. \bibitem{ZLiu_CLiu_1993a} {\sc Z.~Liu and C.~Liu}, {\em Fourth order finite difference and multigrid methods for modeling instabilities in 2--dimensional flat plate boundary layers}, J. Wind Eng. Industrial Aerodyn., 46--47 (1993), pp.~265--274. \bibitem{GLonsdale_ASchuller_1993a} {\sc G.~Lonsdale and A.~Schuller}, {\em Multigrid efficiency for complex flow simulations on distributed memory machines}, Parallel Comput., 19 (1993), pp.~23--32. \bibitem{RDLonsdale_1993a} {\sc R.~D. Lonsdale}, {\em Algebraic multigrid solver for the {N}avier--{S}tokes equations on unstructured meshes}, Int. J. Numer. Meth. Heat Fluid Flow, 3 (1993), pp.~3--14. \bibitem{PLotstedt_BGustafsson_1993a} {\sc P.~Lotstedt and B.~Gustafsson}, {\em Fourier analysis of multigrid methods for general systems of {PDES}}, Math. Comp., 60 (1993), pp.~473--493. \bibitem{MJMarchant_NPWeatherill_1993a} {\sc M.~J. Marchant and N.~P. Weatherill}, {\em Construction of nearly orthogonal multiblock grids for compressible flow simulation}, Comm. Numer. Meth. Engrg., 9 (1993), pp.~567--578. \bibitem{WMing_1993a} {\sc W.~Ming}, {\em The multigrid method for {TRUNC} plate element}, J. Comput. Math., 11 (1993), pp.~178--187. \bibitem{SMoorthi_RWHiggins_1993a} {\sc S.~Moorthi and R.~W. Higgins}, {\em Application of fast {F}ourier transforms to the direct solution of a class of two dimensional separable elliptic equations on the sphere}, Mon. Weather Rev., 121 (1993), pp.~290--296. \bibitem{ECNacul_GSLett_1993a} {\sc E.~C. Nacul and G.~S. Lett}, {\em Under and over relaxation techniques for accelerating nonlinear domain decomposition methods}, in Proceedings of the SPE Symposium on Reservoir Simulation, Richardson, TX, 1993, Soc of Petroleum Engineers of AIME, pp.~105--112. \bibitem{ANakano_RKKalia_PVashishta_1993a} {\sc A.~Nakano, R.~K. Kalia, and P.~Vashishta}, {\em Molecular dynamics simulation of aerogel silica on parallel computers}, in Materials Research Society Symposium Proceedings, vol.~293, Pittsburgh, PA, 1993, Materials Research Society, pp.~237--242. \bibitem{ANakano_PVashishta_RKKalia_1993a} {\sc A.~Nakano, P.~Vashishta, and R.~K. Kalia}, {\em Parallel multiple--time--step molecular dynamics with three--body interaction}, Comput. Phys. Commun., 77 (1993), pp.~303--312. \bibitem{IMNavon_YCai_1993a} {\sc I.~M. Navon and Y.~Cai}, {\em Domain decomposition and parallel processing of a finite element model of the shallow water equations}, Comput. Meth. Appl. Mech. Engrg., 106 (1993), pp.~179--212. \bibitem{CWOosterlee_PWesseling_ASega_EBrakkee_1993a} {\sc C.~W. Oosterlee, P.~Wesseling, A.~Sega, and E.~Brakkee}, {\em Benchmark solutions for the incompressible {N}avier--{S}tokes equations in general co--ordinates on staggered grids}, Int. J. Numer. Meth. Fluids, 17 (1993), pp.~301--321. \bibitem{POswald_1992b} {\sc P.~Oswald}, {\em Hierarchical conforming finite element methods for the biharmonic equation}, SIAM J. Numer. Anal., 29 (1992), pp.~1610--1625. \bibitem{JDPPasschier_WJGoedheer_1993a} {\sc J.~D.~P. Passchier and W.~J. Goedheer}, {\em A two dimensional fluid model for an argon {RF} discharge}, J. Appl. Phys., 74 (1993), pp.~3744--3751. \bibitem{JPeraire_JPeiro_KMorgan_1993a} {\sc J.~Peraire, J.~Peiro, and K.~Morgan}, {\em Finite element multigrid solution of {E}uler flows past installed aero--engines}, Comput. Mech., 11 (1993), pp.~433--451. \bibitem{JPeraire_JPeiro_KMorgan_1993b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Multigrid solution of the 3--{D} compressible {E}uler equations on unstructured tetrahedral grids}, J. Numer. Meth. Engrg., 36 (1993), pp.~1029--1044. \bibitem{MPeric_1993a} {\sc M.~Peric}, {\em Natural convection in trapezoidal cavities}, Numer. Heat Transf. A, Appl., 24 (1993), pp.~213--219. \bibitem{MPeric_MSchafer_ESchreck_1993a} {\sc M.~Peric, M.~Schafer, and E.~Schreck}, {\em Numerical simulation of complex fluid flows on {MIMD} computers}, Parallel Computer Arch. Theory, Hardw., Softw., Appl., (1993), pp.~292--306. \bibitem{FReale_MBarbera_SSciortino_1993a} {\sc F.~Reale, M.~Barbera, and S.~Sciortino}, {\em A parallel 2-{D} hydrodynamic {FORTRAN} code for astrophysical applications on a {M}eiko computing surface}, Future Gen. Comput. Sys., 9 (1993), pp.~19--24. \bibitem{AReusken_1992a} {\sc A.~Reusken}, {\em On maximum norm convergence of multigrid methods for two--point boundary value problems}, SIAM J. Numer. Anal., 29 (1992), pp.~1569--1578. \bibitem{AReusken_1993a} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Multigrid with matrix dependent transfer operators for a singular perturbation problem}, Comput., 50 (1993), pp.~199--211. \bibitem{TRhodes_SAcharya_1993a} {\sc T.~Rhodes and S.~Acharya}, {\em Adaptive differencing scheme for flow and heat transfer problems}, Numer. Heat Transf. B, Fundam., 23 (1993), pp.~153--173. \bibitem{ARizzi_PEliasson_ILindblad_CHirsch_CLacor_JHaeuser_1993a} {\sc A.~Rizzi, P.~Eliasson, I.~Lindblad, C.~Hirsch, C.~Lacor, and J.~Haeuser}, {\em Engineering of multiblock/multigrid software for {N}avier--{S}tokes flows on structured meshes}, Comput. Fluids, 22 (1993), pp.~341--367. \bibitem{MRosenfeld_DKwak_1993a} {\sc M.~Rosenfeld and D.~Kwak}, {\em Multigrid acceleration of a fractional step solver in generalized curvilinear coordinate systems}, AIAA J., 31 (1993), pp.~1792--1800. \bibitem{MSaxena_RPerucchio_1992a} {\sc M.~Saxena and R.~Perucchio}, {\em Parallel {FEM} algorithms based on recursive spatial decomposition. {I}. {A}utomatic mesh generation}, Comput. Struct., 45 (1992), pp.~817--831. \bibitem{MSaxena_RPerucchio_1993a} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Parallel {FEM} algorithms based on recursive spatial decomposition. {II}. {A}utomatic analysis via hierarchical substructuring}, Comput. Struct., 47 (1993), pp.~143--154. \bibitem{CRSchneidesch_MODeville_1993a} {\sc C.~R. Schneidesch and M.~O. Deville}, {\em Chebyshev collocation method and multi domain decomposition for {N}avier {S}tokes equations in complex curved geometries}, J. Comput. Phys., 106 (1993), pp.~234--257. \bibitem{ESchreck_MPeric_1993a} {\sc E.~Schreck and M.~Peric}, {\em Computation of fluid flow with a parallel multigrid solver}, Int. J. Numer. Meth. Fluids, 16 (1993), pp.~303--327. \bibitem{SSerra_1993a} {\sc S.~Serra}, {\em Multi iterative methods}, Comput. Math. Appl., 26 (1993), pp.~65--87. \bibitem{WShyy_CSSun_MHChen_KCChang_1993a} {\sc W.~Shyy, C.-S. Sun, M.~H. Chen, and K.~C. Chang}, {\em Multigrid computation for turbulent recirculating flows in complex geometries}, Numer. Heat Transf. A, Appl., 23 (1993), pp.~79--98. \bibitem{BFSmith_1993a} {\sc B.~F. Smith}, {\em A parallel implementation of an iterative substructuring algorithm for problems in three dimensions}, SIAM J. Sci. Comput., 14 (1993), pp.~406--423. \bibitem{PMSockol_1993b} {\sc P.~M. Sockol}, {\em Multigrid solution of the {N}avier--{S}tokes equations on highly stretched grids}, Int. J. Numer. Meth. Fluids, 17 (1993), pp.~543--566. \bibitem{ADSokal_1993a} {\sc A.~D. Sokal}, {\em Some comments on multigrid methods for computing propagators}, Phys. Lett. B, 317 (1993), pp.~399--408. \bibitem{KSrinivasan_SGRubin_1992b} {\sc K.~Srinivasan and S.~G. Rubin}, {\em Segmented multigrid domain decomposition procedure for incompressible viscous flows}, Int. J. Numer. Methods Fluids, 15 (1992), pp.~1333--1355. \bibitem{MStorti_NNigro_SIdelsohn_1993a} {\sc M.~Storti, N.~Nigro, and S.~Idelsohn}, {\em Adaptive refinement criterion for elliptic problems discretized by {FEM}}, Comm. Numer. Meth. Engrg., 9 (1993), pp.~729--743. \bibitem{DMTidd_DJStrash_BEpstein_ALuntz_ANachshon_TRubin_1992a} {\sc D.~M. Tidd, D.~J. Strash, B.~Epstein, A.Luntz, A.~Nachshon, and T.~Rubin}, {\em Multigrid {E}uler calculations over complete aircraft}, J. Aircr., 29 (1992), pp.~1080--1086. \bibitem{RSTuminaro_DEWomble_1993a} {\sc R.~S. Tuminaro and D.~E. Womble}, {\em Analysis of the multigrid {FMV} cycle on large scale parallel machines}, SIAM J. Sci. Comput., 14 (1993), pp.~1159--1173. \bibitem{ETziperman_IYavneh_STaasan_1993a} {\sc E.~Tziperman, I.~Yavneh, and S.~Ta'asan}, {\em Multilevel turbulence simulations}, Europhys. Lett., 24 (1993), pp.~239--244. \bibitem{PVanek_1992a} {\sc P.~Vanek}, {\em Acceleration of convergence of a two level algorithm by smoothing transfer operators}, Appl. Math., 37 (1992), pp.~265--274. \bibitem{VVyas_1993a} {\sc V.~Vyas}, {\em An efficient algorithm for calculating the quark propagators using {M}igdal {K}adanoff transformation}, Phys. Lett. B, 308 (1993), pp.~334--339. \bibitem{HYWang_JBSaulnier_1992a} {\sc H.~Y. Wang and J.~B. Saulnier}, {\em Extension of multigrid technique to the analysis of conjugate heat transfer}, in Institution of Chemical Engineers Symposium Series, vol.~2, Inst of Chemical Engineers, Rugby, Engl., 1992, pp.~947--956. \bibitem{HYWang_JBSaulnier_1993a} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em A sensitivity study of material properties for coupled convective conductive heat transfer generated in an electronic equipment}, Int. J. Heat Mass Transf., 36 (1993), pp.~3831--3839. \bibitem{KPWang_JCBruch_1993a} {\sc K.~P. Wang and J.~C. Bruch}, {\em Highly efficient iterative parallel computational method for finite element systems}, Eng. Comput., 10 (1993), pp.~195--204. \bibitem{KPWang_JCBruch_1993b} \leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Studies of an interface relaxation domain decomposition technique using finite elements on a parallel computer}, Numer. Meth. for PDE, 9 (1993), pp.~372--393. \bibitem{MWang_SPVanka_1993a} {\sc M.~Wang and S.~P. Vanka}, {\em Parallel {ADI} algorithm for high--order finit--difference solution of the unsteady heat conduction equation, and its implementation on the {CM}--5}, Numer. Heat Transf. B, Fundam., 24 (1993), pp.~143--159. \bibitem{UWolff_1993a} {\sc U.~Wolff}, {\em High precision simulation techniques for lattice field theory}, Int. J. Modern Phys. C (Phys. Comput.), 4 (1993), pp.~451--458. \bibitem{JYXia_CTaylor_1992a} {\sc J.~Y. Xia and C.~Taylor}, {\em Multigrid solution, based on the finite element method, for the {N}avier--{S}tokes equations}, Eng. Comput., 9 (1992), pp.~469--475. \bibitem{GYagawa_AYoshioka_SYoshimura_NSoneda_1993a} {\sc G.~Yagawa, A.~Yoshioka, S.~Yoshimura, and N.~Soneda}, {\em A parallel finite element method with a supercomputer network}, Comput. Struct., 47 (1993), pp.~407--418. \bibitem{IYavneh_1993a} {\sc I.~Yavneh}, {\em A method for devising efficient multigrid smoothers for complicated {PDE} systems}, SIAM J. Sci. Comput., 14 (1993), pp.~1437--1463. \bibitem{HKYong_ZCNam_1993a} {\sc H.~K. Yong and Z.~C. Nam}, {\em Parallel solution of the neutron diffusion equation with the domain decomposition method on a transputer network}, Nucl. Sci. Eng., 114 (1993), pp.~252--270. \bibitem{LYZaslavsky_1993a} {\sc L.~Yu Zaslavsky}, {\em An adaptive algebraic multigrid for multigroup neutron diffusion reactor core calculations}, Appl. Math. Comput., 53 (1993), pp.~13--26. \end{thebibliography} \end{document} ------------------------------ End of MGNet Digest **************************