المؤلفون: Brandner, Marek, Knobloch, Petr

مصطلحات موضوعية: keyword:convection, keyword:diffusion, keyword:stabilization, keyword:finite element method, keyword:finite volume method, keyword:finite difference method, msc:65M06, msc:65M08, msc:65M12, msc:65M60, msc:65N06, msc:65N08, msc:65N12, msc:65N30, msc:76Rxx

وصف الملف: application/pdf

الاتاحة: http://hdl.handle.net/10338.dmlcz/703069

المؤلفون: Faragó, István, Korotov, Sergey, Szabó, Tamás

مصطلحات موضوعية: keyword:elliptic problem, keyword:Neumann boundary condition, keyword:maximum/minimum principle, keyword:discrete maximum/minimum principle, msc:35B50, msc:65N06, msc:65N30, msc:65N50

وصف الملف: application/pdf

Relation: zbl:Zbl 06669917

الاتاحة: http://hdl.handle.net/10338.dmlcz/702963

المؤلفون: Fučík, Radek, Mikyška, Jiří

مصطلحات موضوعية: keyword:dynamic capillary pressure, keyword:two-phase flow in porous media, keyword:immiscible displacement in porous media, keyword:finite volume method, msc:35K55, msc:65N06, msc:65N08, msc:76S05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/141699

المؤلفون: Breuss, Michael, Cristiani, Emiliano, Durou, Jean-Denis, Falcone, Maurizio, Vogel, Oliver

مصطلحات موضوعية: keyword:hyperbolic partial differential equation, keyword:Hamilton–Jacobi equation, keyword:finite difference method, keyword:semi-Lagrangian scheme, keyword:Shape-from-Shading, msc:35L60, msc:65D19, msc:65N06, msc:65N12, msc:68T45, msc:68U10

وصف الملف: application/pdf

Relation: mr:MR2663598; zbl:Zbl 1198.68266; reference:[1] Bornemann, F., Deuflhard, P.: Cascadic multigrid methods.In: Domain Decomposition Methods in Sciences and Engineering (R. Glowinski, J. Periaux, Z. Shi, and O. Widlund, eds.), John Wiley, New York 1997, pp. 205–212. MR 1943461; reference:[2] Breuß, M., Vogel, O., Weickert, J.: Efficient numerical techniques for perspective shape from shading.In: Proc. Algoritmy 2009, Podbanské 2009 (A. Handlovičová, P. Frolkovič, K. Mikula, and D. Ševcovič, eds.), Slovak University of Technology, Bratislava 2009, pp. 11–20.; reference:[3] Camilli, F., Prados, E.: Shape-from-Shading with discontinuous image brightness.Appl. Numer. Math. 56 (2006), 9, 1225–1237. Zbl 1096.65059, MR 2244973, 10.1016/j.apnum.2006.03.007; reference:[4] Courteille, F., Crouzil, A., Durou, J.-D, Gurdjos, P.: Towards shape from shading under realistic photographic conditions.In: Proc. 17th Internat. Conf. Patt. Recog. (vol. II), Cambridge 2004, pp. 277–280.; reference:[5] Cristiani, E.: Fast Marching and Semi-Lagrangian Methods for Hamilton–Jacobi Equations with Applications.Ph.D. Thesis, Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma “La Sapienza”, Rome 2007.; reference:[6] Cristiani, E., Falcone, M., Seghini, A.: Numerical solution of the perspective Shape-from-Shading problem.In: Proc. Control Systems: Theory, Numerics and Applications, Rome 2005. Proceedings of Science (CSTNA2005) 008, http://pos.sissa.it/; reference:[7] Cristiani, E., Falcone, M., Seghini, A.: Some remarks on perspective Shape-from-Shading models.In: Proc. 1st Internat. Conf. Scale Space and Variational Methods in Comput. Vis., Ischia 2007 (F. Sgallari, A. Murli, and N. Paragios, eds., Lecture Notes in Comput. Sci. 4485), Springer, Berlin 2008, pp. 276–287.; reference:[8] Durou, J.-D., Falcone, M., Sagona, M.: Numerical methods for Shape-from-Shading: A new survey with nenchmarks.Comp. Vis. and Image Underst. 109 (2008), 1, 22–43. 10.1016/j.cviu.2007.09.003; reference:[9] Falcone, M., Ferretti, R.: Semi–Lagrangian schemes for Hamilton–Jacobi equations, discrete representation formulae and Godunov methods.J. Comput. Phys. 175 (2002), 2, 559–575. Zbl 1007.65060, MR 1880118, 10.1006/jcph.2001.6954; reference:[10] Foley, J. D., Dam, A. van, Feiner, S. K., Hughes, J. F.: Computer Graphics: Principles and Practice.Addison–Wesley, Reading 1996.; reference:[11] Hoppe, R. H. W.: Multigrid methods for Hamilton–Jacobi–Bellman equations.Numer. Math. 49 (1986), 2-3, 239–254. MR 0848524, 10.1007/BF01389627; reference:[12] Horn, B. K. P.: Obtaining shape from shading information.In: The Psychology of Computer Vision (P. H. Winston, ed.), McGraw-Hill, New York 1975, Ch. 4, pp. 115–155. MR 0416135; reference:[13] Horn, B. K. P.: Robot Vision.MIT Press, Cambridge Mass. 1986.; reference:[14] Horn, B. K. P., Brooks, M. 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Weickert, eds.), pp. 91–100.; reference:[24] Zhang, R., Tsai, P.-S., Cryer, J. E., Shah, M.: Shape from Shading: A survey.IEEE Trans. Patt. Anal. Mach. Intell. 21 (1999), 8, 690–706. 10.1109/34.784284; reference:[25] Zhao, H.: A fast sweeping method for eikonal equations.Math. Comp. 74 (2004), 250, 603–627. Zbl 1070.65113, MR 2114640, 10.1090/S0025-5718-04-01678-3

الاتاحة: http://hdl.handle.net/10338.dmlcz/140741

المؤلفون: Willems, Jörg

مصطلحات موضوعية: Hochskalieren, Partial Differential Equations, Effective Conductivity, Homogenisierung , msc:35J25, msc:65N55, Partielle Differentialgleichung, Strömungsmechanik, Upscaling, msc:65N30, ddc:510, Wärmeleitfähigkeit, Numerische Mathematik, msc:65N06, Brinkman

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=od_______651::44773a228dd658ac0c339f28c505343f
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2117

المؤلفون: Willems, Jörg

مصطلحات موضوعية: Hochskalieren, Partial Differential Equations, Effective Conductivity, Homogenisierung , msc:35J25, msc:65N55, Partielle Differentialgleichung, Strömungsmechanik, Upscaling, msc:65N30, ddc:510, Wärmeleitfähigkeit, Numerische Mathematik, msc:65N06, Brinkman

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=od_______651::4f7bf892f655da7222d960b4f78aac5e
https://kluedo.ub.rptu.de/frontdoor/index/index/docId/2117

المؤلفون: Rutka, Vita

مصطلحات موضوعية: ddc:510, msc:65N06

وصف الملف: application/pdf

URL الوصول: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0a8404271ae9eac589dd2fa6d229eb42
https://kluedo.ub.rptu.de/files/1621/thesis.pdf

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:discrete Laplace operator, keyword:discrete boundary value problem, keyword:eigenvalues, keyword:eigenfunctions, msc:35J05, msc:35P10, msc:35R10, msc:65N06, msc:65N25

وصف الملف: application/pdf

Relation: mr:MR1828307; zbl:Zbl 1059.65101; reference:[1] M. Práger: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle.Appl. Math. 43 (1998), 311–320. MR 1627985, 10.1023/A:1023269922178

الاتاحة: http://hdl.handle.net/10338.dmlcz/134466

المؤلفون: Vitásek, Emil

مصطلحات موضوعية: keyword:difference equation, keyword:sparse matrices, keyword:boundary value problems, msc:35J05, msc:39A10, msc:65F50, msc:65N06, msc:65N22, msc:65Q05

وصف الملف: application/pdf

Relation: mr:MR1800965; zbl:Zbl 1003.65118; reference:[1] J. Taufer: Lösung der Randwertprobleme von linearen Differentialgleichungen. Rozpravy ČSAV, Řada mat. a přír. věd, Vol. 83.Academia, Praha, 1973.; reference:[2] G. H. Meyer: Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding.Academic Press, New York, 1973. Zbl 0304.34018, MR 0488791; reference:[3] E. Vitásek: Approximate solution of ordinary differential equations.In: Survey of Applicable Mathematics (K. Rektorys and E. Vitásek, eds.), Kluwer Academic Publishers, Dordrecht, 1994, pp. 478–533.; reference:[4] E. Vitásek: Remark to the problem of transferring boundary conditions in two dimensions.In: Proceedings of the Prague Mathematical Conference 1996, Icaris, Praha, 1997, pp. 337–342. MR 1703984

الاتاحة: http://hdl.handle.net/10338.dmlcz/134452

المؤلفون: Roos, Hans-Görg, Stynes, Martin

مصطلحات موضوعية: keyword:numerical analysis, keyword:convection-diffusion problems, keyword:boundary layers, keyword:uniform convergence, msc:65N06, msc:65N12

وصف الملف: application/pdf

Relation: mr:MR1395686; zbl:Zbl 0870.65091; reference:[AS64] Abramowitz, M., Stegun, I.A.: Handbook of mathematical functions.National Bureau of Standards, 1964.; reference:[Ec73] Eckhaus, W.: Matched asymptotic expansions and singular perturbations.North-Holland, Amsterdam, 1973. Zbl 0255.34002, MR 0670800; reference:[Em73] Emel’janov, K.V.: A difference scheme for a three-dimensional elliptic equation with a small parameter multiplying the highest derivative.Boundary value problems for equations of mathematical physics, USSR Academy of Sciences, Ural Scientific Centre, 1973, pp. 30–42. (Russian); reference:[Gu93] Guo, W.: Uniformly convergent finite element methods for singularly perturbed parabolic problems.Ph.D. Dissertation, National University of Ireland, 1993.; reference:[HK90] Han, H., Kellogg, R.B.: Differentiability properties of solutions of the equation $-\epsilon ^2\Delta u+ru=f(x,y)$ in a square.SIAM J. Math. Anal., 21 (1990), 394–408. MR 1038899, 10.1137/0521022; reference:[La61] Lax, P.D.: On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients.Comm. Pure Appl. Math. 14 (1961), 497–520. Zbl 0102.11701, MR 0145686, 10.1002/cpa.3160140324; reference:[Le76] Lelikova, E.F.: On the asymptotic solution of an elliptic equation of the second order with a small parameter effecting the highest derivative.Differential Equations 12 (1976), 1852–1865. (Russian) MR 0445100; reference:[Ro85] Roos, H.-G.: Necessary convergence conditions for upwind schemes in the two-dimensional case.Int. J. Numer. Meth. Eng. 21 (1985), 1459–1469. Zbl 0578.65098, MR 0799066, 10.1002/nme.1620210808; reference:[SK87] Shih, S.D., Kellogg, R.B.: Asymptotic analysis of a singular perturbation problem.SIAM J. Math. Anal., 18 (1987), 1467–1511. MR 0902346, 10.1137/0518107; reference:[Sh89] Shishkin, G.I.: Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer.U.S.S.R. Comput. Maths. Math. Physics 29 (1989), 1–10. Zbl 0709.65073, MR 1011021, 10.1016/0041-5553(89)90109-2; reference:[Si90] Shishkin, G.I.: Grid approximation of singularly perturbed boundary value problems with convective terms.Sov. J. Numer. Anal. Math. Modelling 5 (1990), 173–187. Zbl 0816.65051, MR 1122367, 10.1515/rnam.1990.5.2.173; reference:[Si92] Shishkin, G.I.: Methods of constructing grid approximations for singularly perturbed boundary value problems.Sov. J. Numer. Anal. Math. Modelling 7 (1992), 537–562. Zbl 0816.65072, MR 1202653; reference:[ST92] Stynes, M., Tobiska, L.: Necessary $L_2$-uniform conditions for difference schemes for two-dimensional convection-diffusion problems.Computers Math. Applic. 29 (1995), 45–53. MR 1321058, 10.1016/0898-1221(94)00237-F; reference:[Ys83] Yserentant, H.: Die maximale Konsistenzordnung von Differenzapproximationen nichtnegativer Art.Numer. Math. 42 (1983), 119–123. MR 0716478, 10.1007/BF01400922

الاتاحة: http://hdl.handle.net/10338.dmlcz/134326

المؤلفون: Douglas, Jim, Hensley, Jeffrey L., Roberts, Jean E.

مصطلحات موضوعية: keyword:noncoercive nonsymmetric problems, keyword:Helmholtz equation, keyword:finite difference, keyword:alternating-direction iteration method, keyword:time-stepping method, keyword:convergence, keyword:numerical examples, msc:35J05, msc:65F10, msc:65N06, msc:65N12

وصف الملف: application/pdf

Relation: mr:MR1228510; zbl:Zbl 0807.65106; reference:[1] Douglas J., Jr.: On the numerical integration of $u_{xx} + u_{yy} = u_t$ by implicit methods.J. Soc. Indust. Appl. Math. 3(1955), 42-65. MR 0071875; reference:[2] Douglas J., Jr.: Alternating direction methods for three space variables.Numerische Mathematik 4 (1962), 41-63. Zbl 0104.35001, MR 0136083, 10.1007/BF01386295; reference:[3] Douglas J., Jr., Dupont T.: Alternating-direction Galerkin methods on rectangles.Numerical Solution of Partial Differential Equations II (Burt Hubbard, ed.), Academic Press, New York, 1971, pp. 133-214. Zbl 0239.65088, MR 0273830; reference:[4] Douglas J., Jr., Gunn J. E.: A general formulation of alternating direction methods, I. Parabolic and hyperbolic problems.Numerische Mathematik 6 (1964), 428-453. Zbl 0141.33103, MR 0176622, 10.1007/BF01386093; reference:[5] Douglas J., Jr., Peaceman D. W.: Numerical solution of two dimensional heat flow problems.A.I.Ch.E. Jour 1 (1955), 505-512.; reference:[6] Douglas J., Jr., Rachford H. H., Jr.: On the numerical solution of heat conduction problems in two and three space variables.Trans. Amer. Math. Soc. 82 (1956), 421-439. Zbl 0070.35401, MR 0084194, 10.1090/S0002-9947-1956-0084194-4; reference:[7] Douglas J., Jr., Santos J. E., Sheen D., Bennethum L. S.: Frequency domain treatment of one-dimensional scalar waves.Mathematical Models and Methods in Applied Sciencis (1993), to appear. Zbl 0783.65070, MR 1212938; reference:[8] Peaceman D. W.: The numerical solution of parabolic elliptic differential equations.J. Soc. Ind. Appl. Math. 3 (1955), 28-41. MR 0071874, 10.1137/0103003; reference:[9] Pearcy C. M.: On convergence of alternating direction procedures.Numerische Mathematik 4 (1962), 172-176. Zbl 0112.34802, MR 0145677, 10.1007/BF01386310

الاتاحة: http://hdl.handle.net/10338.dmlcz/104557

المؤلفون: Práger, Milan, Taufer, Jiří, Vitásek, Emil

مصطلحات موضوعية: msc:65L05, msc:65N06

وصف الملف: application/pdf

Relation: mr:MR351088; zbl:Zbl 0357.65048

الاتاحة: http://hdl.handle.net/10338.dmlcz/700072

المؤلفون: Janenko, N. N.

مصطلحات موضوعية: msc:65M06, msc:65M99, msc:65N06, msc:65N99, msc:65P05

وصف الملف: application/pdf

Relation: mr:MR0349017; zbl:Zbl 0326.65058

الاتاحة: http://hdl.handle.net/10338.dmlcz/700055

المؤلفون: Bramble, J. H.

مصطلحات موضوعية: msc:65-06, msc:65N06

وصف الملف: application/pdf

Relation: zbl:Zbl 0188.16203

الاتاحة: http://hdl.handle.net/10338.dmlcz/700192

المؤلفون: Dinh, Ta Van

مصطلحات موضوعية: keyword:error expansion, keyword:Dirichlet problem, keyword:selfadjoint, keyword:central difference scheme, keyword:finite difference method, msc:35J25, msc:65N06, msc:65N15

وصف الملف: application/pdf

Relation: mr:MR0879326; zbl:Zbl 0629.65109; reference:[1] Г. И. Марчук В. В. Шайдуров: Повышение точности решений разностных схем.Москва, Наука, 1979. Zbl 1225.01075; reference:[2] О. А. Ладыженская H. H. Уралъцева: Линейные и квазилинейные уравнения эллиптического типа.Москва, Наука, 1973. Zbl 1221.53041

الاتاحة: http://hdl.handle.net/10338.dmlcz/104232

المؤلفون: Humhal, Emil

مصطلحات موضوعية: msc:35A35, msc:35J25, msc:65N06, msc:65N10, msc:65N22

وصف الملف: application/pdf

Relation: mr:MR0403253; zbl:Zbl 0335.35039; reference:[1] R. S. Varga: Matrix Iterative Analysis.Prentice Hall, Englewood Cliffs, New Jersey, 1962. MR 0158502; reference:[2] A. S. Householder: The Theory of Matrices in Numerical Analysis.Blaisdell Publishing Company, New York-Toronto- London, 1964. Zbl 0161.12101, MR 0175290

الاتاحة: http://hdl.handle.net/10338.dmlcz/103630

المؤلفون: Fox, L.

مصطلحات موضوعية: msc:65N06, msc:65N12, msc:65N99

وصف الملف: application/pdf

Relation: mr:MR0386305; zbl:Zbl 0331.65068

الاتاحة: http://hdl.handle.net/10338.dmlcz/142319