المؤلفون: Práger, Milan

المصدر: Mathematica bohemica | 2003 Volume:128 | Number:1

الاتاحة: http://data.europeana.eu/aggregation/europeana/336/uuid_3f261770_e6f5_4814_9ed8_9a9b4154789e

المؤلفون: Práger, Milan

المصدر: Survey of Applicable Mathematics ; page 1125-1193 ; ISBN 9789401583107 9789401583084

الاتاحة: http://dx.doi.org/10.1007/978-94-015-8308-4_24
http://link.springer.com/content/pdf/10.1007/978-94-015-8308-4_24

المؤلفون: Práger, Milan, Sýkorová, Irena

مصطلحات موضوعية: keyword:representation of real numbers in computers, keyword:performing algebraic operations, msc:68M07, msc:68Qxx

وصف الملف: application/pdf

Relation: zbl:Zbl 1265.68006; reference:[1] Edelman, A.: The mathematics of the Pentium division bug.SIAM Review 39 (1997), 54–67. Zbl 1059.68503, MR 1439485, 10.1137/S0036144595293959; reference:[2] Hämmerlin, G., Hoffmann, K.- H.: Numerical Mathematics.Springer-Verlag, Inc., New York 1991. MR 1088482; reference:[3] : GAO Report: Patriot Missile Defense.http://www.fas.org/starwars/gao/im92026.htm; reference:[4] Goldberg, D.: Computer Arithmetic.Kaufmann, San Mateo, CA 1995, second edition. Appendix in [9].; reference:[5] : .IEEE standard for binary floating-point arithmetic: ANSI/IEEE Std 754-1985, 1985. Reprinted in SIGPLAN Notices 22 (2) (1987), 9–25. Zbl 1193.33200; reference:[6] : .IEEE standard for radix-independent floating-point arithmetic: ANSI/IEEE Std 854-987, 1987. Zbl 1193.33200; reference:[7] Křížek, M., Práger, M., Vitásek, E.: Spolehlivost numerických výpočtů.PMFA 42 (1997), 8–23.; reference:[8] Overton, M. L.: Numerical Computing with IEEE Floating Point Arithmetic.SIAM, Philadelphia 2001. Zbl 0981.68057, MR 1828597; reference:[9] Patterson, D. L., Hennessy, J. L.: Computer Architecture: A Quantitative Approach.Kaufmann, San Mateo, CA 1998, second edition.; reference:[10] Priest, D. M.: Algorithms for arbitrary precision floating point arithmetic.In: P. Kornerup and D. Matula, editors, Proceedings of the 10th Symposium on Computer Arithmetic, 132–143. IEEE Computer Society Press, Piscataway, NJ, 1991.; reference:[11] Skeel, R.: Roundoff error and the Patriot missile.SIAM News 25 (4), July 1992, 11. http:/www.siam.org/siamnews/general/patriot.htm; reference:[12] Smith, D. M.: Multiple Precision Complex Arithmetic and Functions.TOMS 24 (1998), 4, též http://www.netlib.org/toms/814 Zbl 0934.65023, 10.1145/293686.293687; reference:[13] Sterbenz, P.: Floating Point Computation.Prentice–Hall, Englewood Cliffs, NJ, 1974. MR 0349062; reference:[14] : The Explosion of Ariane 5.http://www.ima.umn.edu/~arnold/disasters/ariane.html; reference:[15] : The Patriot Missile Failure.http://www.ima.umn.edu/~arnold/disasters/patriot.html; reference:[16] Wilkinson, J. H.: Rounding Errors in Algebraic Processes.Her Majesty’s Stationery Office, London 1963. Zbl 1041.65502, MR 0161456

الاتاحة: http://hdl.handle.net/10338.dmlcz/141207

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:Poisson equation, keyword:boundary value problem, keyword:fast direct solver, keyword:triangle, keyword:tetrahedron, msc:65F05, msc:65N22

وصف الملف: application/pdf

Relation: mr:MR1980369; zbl:Zbl 1099.65027; 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; reference:[2] M. Práger: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case.Appl. Math. 46 (2001), 231–239. Zbl 1059.65101, MR 1828307, 10.1023/A:1013744008028; reference:[3] : Handbook of Convex Geometry.P. M. Gruber, J. M. Wills (eds.), Elsevier Science Publishers B.V., 1993. Zbl 0777.52002; reference:[4] R. W. Hockney: A fast direct solution of Poisson’s equation using Fourier analysis.J. Assoc. Comp. Mach. 12 (1965), 95–113. Zbl 0139.10902, MR 0213048, 10.1145/321250.321259; reference:[5] J. W. Cooley J. W. Tukey: An algorithm for the machine calculation of complex Fourier series.Math. Comp. 19 (1965), 297–301. MR 0178586, 10.1090/S0025-5718-1965-0178586-1; reference:[6] P. A. Swarztrauber: The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle.SIAM Review 19 (1977), 490–501. Zbl 0358.65088, MR 0438732, 10.1137/1019071; reference:[7] D. M. Y. Sommerville: Space-filling tetrahedra in Euclidean space.Proc. Edinburgh Math. Soc. 41 (1923), 49–57.

الاتاحة: http://hdl.handle.net/10338.dmlcz/134529

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: Práger, Milan

مصطلحات موضوعية: keyword:Laplace operator, keyword:boundary value problem, keyword:eigenvalues, keyword:eigenfunctions, msc:35J05, msc:35P10, msc:65Z05

وصف الملف: application/pdf

Relation: mr:MR1627985; zbl:Zbl 0940.35059; reference:[1] Křížek, M., Neittaanmäki, P.: Finite Element Approximaton of Variational Problems and Applications.Longman Scientific & Technical, Harlow, 1990. MR 1066462

الاتاحة: http://hdl.handle.net/10338.dmlcz/134391

المؤلفون: Křížek, Michal, Práger, Milan, Vitásek, Emil

مصطلحات موضوعية: msc:65B10, msc:65D05, msc:65D25, msc:65D32, msc:65F10, msc:65F15, msc:65G50

وصف الملف: application/pdf

Relation: zbl:Zbl 0879.65029; reference:[1] Babuška, I., Práger, M., Vitásek, E.: Numerical Processes in Differential Equations.John Wiley & Sons, Ltd., London 1966. MR 0223101; reference:[2] Doktor, A.: .Rozhledy mat.-fyz. 70 (1992), 223–229.; reference:[3] Forsythe, G. E.: .Amer. Math. Monthly 77 (1970), 931–956. Zbl 0207.15401, MR 1536090; reference:[4] Henrici, P.: Discrete Variable Methods in Ordinary Differential Equations.John Wiley & Sons, New York 1962. Zbl 0112.34901, MR 0135729; reference:[5] Chatelin, F., Frayssé, V.: Qualitative Computing.Thomson – CSF, 1993.; reference:[6] Chleboun, J.: .Vesmír 72 (1993), 507–508. Zbl 0874.49037; reference:[7] Křížek, M.: .PMFA 37 (1992), 129–140.; reference:[8] Kulisch, U., Miranker, W. L.: .SIAM Review 28 (1986), 1–40. Zbl 0597.65037, MR 0828434; reference:[9] Mikloško, J.: “Patologické” javy v numerickej matematike.Sborník konference software a algoritmy numerické matematiky, JČMF, VŠSE Plzeň 1980, 201–232.; reference:[10] Press, W. H.: Numerical Recipes.Cambridge University Press, 1986. Zbl 0587.65005, MR 0833288; reference:[11] Ralston, A.: Základy numerické matematiky.Academia, Praha 1978. Zbl 0434.65002; reference:[12] Stegun, I. A., Abramowitz, M.: .SIAM 4 (1956), 207–219. MR 0090854; reference:[13] Vitásek, E.: Numerické metody.SNTL, Praha 1987.; reference:[14] Vitásek, E.: Základy teorie numerických metod pro řešení diferenciálních rovnic.Academia, Praha 1994. MR 1314822; reference:[15] Wilkinson, J. H.: Rounding Errors in Algebraic Processes.Prentice-Hall, New York 1963. Zbl 1041.65502, MR 0161456; reference:[16] Wilkinson, J. H., Reinsch, C.: Handbook for Automatic Computation: Linear Algebra.Springer, Berlin 1971. MR 0461856

الاتاحة: http://hdl.handle.net/10338.dmlcz/139198

المؤلفون: Práger, Milan

جغرافية الموضوع: 112-112

وصف الملف: média; svazek

Relation: https://kramerius.lib.cas.cz/view/uuid:3f261770-e6f5-4814-9ed8-9a9b4154789e

الاتاحة: https://kramerius.lib.cas.cz/view/uuid:3f261770-e6f5-4814-9ed8-9a9b4154789e

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:iterative methods, keyword:block matrix, keyword:domain decomposition, keyword:relaxation method, keyword:numerical experiments, keyword:relaxation parameters, keyword:convergence, keyword:Neumann-Neumann preconditioner, msc:65F10, msc:65F35, msc:65M55, msc:65N22, msc:65N30, msc:65N55

وصف الملف: application/pdf

Relation: mr:MR1241450; zbl:Zbl 0804.65035; reference:[1] M. Práger: An iterative method of alternating type for systems with special block matrices.Appl. math. 36 (1991), 72-78. MR 1093483; reference:[2] P. Bjørstad O. Widlund: Iterative methods for the solution of elliptic problems on regions partitioned into substructures.SIAM, J. Numer. Anal 23 (1986), 1097-1120. MR 0865945, 10.1137/0723075; reference:[3] J. Bramble J. Pasciak A. Schatz: An iterative method for elliptic problems on regions partitioned into substructures.Math. Comput. 46 (1986), 361-369. MR 0829613, 10.1090/S0025-5718-1986-0829613-0; reference:[4] : First international symposium on domain decomposition methods for partial differential equations.(R. Glowinski, G. H. Golub, G. A. Meurant, J. Périaux, eds.), SIAM, Philadelphia, 1988. Zbl 0649.00019, MR 0972509; reference:[5] : Domain decomposition methods.(T. Chan, R. Glowinski, G. A. Meurant, J. Périaux, O. Widlund, eds.), SIAM, Philadelphia, 1989. Zbl 0825.65091, MR 0991999; reference:[6] L. D. Marini A. Quarteroni: A relaxation procedure for domain decomposition methods using finite elements.Numer. Math 55 (1989), 575-598. MR 0998911, 10.1007/BF01398917; reference:[7] M. Práger: Algebraic approach to domain decomposition.Banach Center Publ., Warsaw, to appear. MR 1272930

الاتاحة: http://hdl.handle.net/10338.dmlcz/104569

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:bilinear functional, keyword:bilinear form, keyword:Sobolev spaces, keyword:local bilinear functional, keyword:boundary-value problems for elliptic differential operators, msc:35A15, msc:35J40, msc:46C99, msc:46E30, msc:46E35, msc:65N30

وصف الملف: application/pdf

Relation: mr:MR1202750; zbl:Zbl 0785.46034; reference:[1] V. Jarník: Differential Calculus.Publishing House of the Czech. Acad. Sci., Prague, 1953. (In Czech.)

الاتاحة: http://hdl.handle.net/10338.dmlcz/104541

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:iterative methods, keyword:block matrix, keyword:domain decomposition, keyword:numerical example, msc:35J25, msc:65F10, msc:65N30, msc:65N55

وصف الملف: application/pdf

Relation: mr:MR1093483; zbl:Zbl 0732.65023; reference:[1] P. Bjørstad O. Widlund: Iterative methods for the solution of elliptic problems on regions partitioned into substructures.SIAM J. Numer. Anal. 23 (1986); 1097-1120. MR 0865945, 10.1137/0723075; reference:[2] J. Bramble J. Pasciak A. Schatz: An iterative method for elliptic problems on regions partitioned into substructures.Math. Comput. 4(5 (1986), 361-369. MR 0829613; reference:[3] R. Glowinski G. H. Golub G. A. Meurant J. Périaux: First international symposium on domain decomposition methods for partial differential equations.SIAM, Philadelphia, 1988. MR 0972509; reference:[4] L. D. Marini A. Quarteroni: A relaxation procedure for domain decomposition methods using finite elements.Numer. Math. 55 (1989), 575-598. MR 0998911, 10.1007/BF01398917

الاتاحة: http://hdl.handle.net/10338.dmlcz/104444

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: Práger, Milan

مصطلحات موضوعية: keyword:method of fictitious right-hand sides, keyword:fast algorithm, keyword:standard domain, keyword:convergence, keyword:numerical example, keyword:Poisson equation, msc:35J05, msc:65F10, msc:65N12, msc:65N20, msc:65N22

وصف الملف: application/pdf

Relation: mr:MR0772273; zbl:Zbl 0559.65073; reference:[1] B. L. Buzbee F. W. Dorr J. A. George G. H. Golub: The direct solution of the discrete Poisson equation on irregular regions.SIAM J. Numer. Anal. 8 (1971), 722 -736. MR 0292316, 10.1137/0708066; reference:[2] W. Proskurowski O. Widlund: On the numerical solution of Helmholtz's equation by the capacitance matrix method.Math. Comput. 30 (1976), 433 - 468. MR 0421102; reference:[3] A. S. L. Shieh: Fast Poisson solves on general two dimensional region for the Dirichlet problem.Numer. Math., 31 (1979), 405-429. MR 0516582, 10.1007/BF01404568

الاتاحة: http://hdl.handle.net/10338.dmlcz/104108

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:trigonometric interpolation polynomials, keyword:Riesz-Fischer theorem, keyword:error functional, msc:30E20, msc:41A10, msc:41A15, msc:41A25, msc:41A30, msc:41A55, msc:65D15, msc:65D32

وصف الملف: application/pdf

Relation: mr:MR0547044; zbl:Zbl 0449.41003; reference:[1] I. Babuška: Über universal optimale Quadraturformeln.Teil 1., Apl. mat. 13 (1968), 304- 338, Teil 2., Apl. mat. 13 (1968), 388-404. MR 0244680; reference:[2] K. Segeth: On universally optimal quadrature formulae involving values of derivatives of integrand.Czech. Math. J. 19 (94) 1969, 605-675. Zbl 0188.13203, MR 0260177; reference:[3] S. L. Sobolev: Introduction into the theory of cubature formulae.Nauka, Moscow 1974 (pp. 808). (Russian.) MR 0478560; reference:[4] I. P. Natanson: The constructive theory of functions.GITTL, Moscow, Leningrad 1949. (Russian.) MR 0034464

الاتاحة: http://hdl.handle.net/10338.dmlcz/103824

المؤلفون: Práger, Milan

مصطلحات موضوعية: msc:46.00

وصف الملف: application/pdf

Relation: mr:MR0116198; zbl:Zbl 0090.08902; reference:[1] И. Бабушка: Об алгорифме Шварца в теории дифференциальных уравнений математической физики.Чех. мат. журнал, 8 (83), 1958, 328-343. Zbl 0995.62501, MR 0099492; reference:[2] D. Morgenstern: Begründung des alternierenden Verfahrens durch Orthogonalprojektion.ZAMM, 36 (1956), 7/8. Zbl 0070.35102, MR 0080726, 10.1002/zamm.19560360711; reference:[3] F. Riesz B. Sz.-Nagy: Leçons d'analyse fonctionelle.Budapest 1952.; reference:[4] M. Altman: On the Approximate Solution of Linear Algebraic Equations.Bull. Acad. Polon., CI. III., V (1957), 365-370. Zbl 0077.32305, MR 0088793

الاتاحة: http://hdl.handle.net/10338.dmlcz/100409

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

مصطلحات موضوعية: msc:65J99, msc:65L05

وصف الملف: application/pdf

Relation: mr:MR0366041; zbl:Zbl 0298.65052; reference:[1] I. Babuška M. Práger, E. Vitásek: Numerical processes in differential equations.Interscience publishers, London, New York, Sydney (1966). MR 0223101; reference:[2] G. Birkhoff, R. S. Varga: Discretization errors for well-set Cauchy problems I.J. Math, and Phys. 44 (1965), 1-23. Zbl 0134.13406, MR 0179952, 10.1002/sapm19654411; reference:[3] G. Dahlquist: A special stability problem for linear multistep methods.BIT 3 (1963), 27-43. Zbl 0123.11703, MR 0170477, 10.1007/BF01963532; reference:[4] F. R. Gantmacher (Ф. Р. Гантмахер): Теория матриц.Наука, Москва (1966). Zbl 0136.00410; reference:[5] P. Henrici: Discrete variable methods in ordinary differential equations.J. Wiley & Sons, Inc., New York, London (1962). Zbl 0112.34901, MR 0135729; reference:[6] J. Taufer (И. Тауфер): Об одном обобщенном многошаговом методе, сб. Применение функциональных методов к краевым задачам математической физики.Новосибирск (1972). Zbl 0262.65050; reference:[7] R. S. Varga: Matrix iterative analysis.Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1962). MR 0158502; reference:[8] E. Vitásek (E. Витасек): Строго неявные методы для решения дифференциальных уравнений.сб. Применение функциональных методов к краевым задачам математической физики, Новосибирск (1972).

الاتاحة: http://hdl.handle.net/10338.dmlcz/103497

المؤلفون: Práger, Milan

وصف الملف: application/pdf

الاتاحة: http://hdl.handle.net/10338.dmlcz/103200

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:partial differential equations, msc:65-00

وصف الملف: application/pdf

Relation: mr:MR0114304; zbl:Zbl 0109.32703; reference:[1] Л. В. Канторович В. И. Крылов: Приближенные методы высшего анализа.Москва- Ленинград 1952. Zbl 1225.62076; reference:[2] M. Прагер: Об одном принципе сходимости в пространстве Гильберта.Чех. мат. журнал, 10 (85), 1960, 271-282. Zbl 1004.90500, MR 0116198; reference:[3] С. Л. Соболев: Некоторые применения функционального анализа в математической физике.Ленинград 1950. Zbl 1157.76305; reference:[4] E. Gagliardo: Proprietà di alcune classi cli funzioni in più variabili.Ric. Di Mat., 7 1958, 102-137. MR 0102740; reference:[5] M. И. Вшиик О. А. Ладыженская: Краевые задачи для уравнений в частных производных.Усп. мат. наук, XI, 1956, 41-98. Zbl 1225.01060; reference:[6] И. Г. Петровский: Лекции по теории обыкновенных дифференциальных уравнений.Москва-Ленинград 1949. Zbl 1152.51302; reference:[7] Э. Камке: Справочник но обыкновенным дифференциальным уравнениям.Москва 1951. Zbl 1165.94313

الاتاحة: http://hdl.handle.net/10338.dmlcz/102717

المؤلفون: Práger, Milan

مصطلحات موضوعية: keyword:partial differential equations, msc:31-00

وصف الملف: application/pdf

Relation: mr:MR0095352; zbl:Zbl 0111.09901; reference:[1] Л. В. Канторович В. И. Крылов: Приближенные методы высшего анализа.ГИТТЛ, Москна-Лепинград, 1952. Zbl 1225.62076; reference:[2] M. Nicolesco: Les fonctions рolyharmoniques.Paris, 1936.; reference:[3] С. Г. Михлин: Проблема минимума квадратичного функционала.ГИТТЛ, Москна-Лепинград, 1952. Zbl 1145.11324; reference:[4] С. Л. Соболев: Некоторые применения функционального анализа в математической финике.Ленинград, 1950. Zbl 1157.76305; reference:[5] С. Л. Соболев: Алгорифм Шварца в теории упругости.ДАН СССР т. IV (XII), 1936, № 6. Zbl 0173.16902; reference:[6] I. Babuška: О Schwarzově algoritmu v theorii parciálních diferenciálních rovnic matematické fysiky.(V tisku.); reference:[7] D. Моrgenstern: Begründung des alternierenden Verfahrens durch Ortogonalprojektion.ZAMM, 1956, H. 7/8.; reference:[8] N. Wiener: On the Factorization of Matrices.Comm. Math. Helv., 1955, vol. 29. Zbl 0064.06301, MR 0068663, 10.1007/BF02564273

الاتاحة: http://hdl.handle.net/10338.dmlcz/102608

المؤلفون: Ralston, Anthony.

المساهمون: Práger, Milan., Vitásek, Emil.

المصدر: Indeks.

مصطلحات موضوعية: Analiza numeryczna -- podręczniki akademickie

Other Title: First course in numerical analysis

URL الوصول: http://katalog.nukat.edu.pl/lib/item?id=chamo:1530332&theme=nukat