bibliography poswald


  1. P. Oswald, On moduli of continuity for equimeasurable functions in the classes Phi(L), Mat. Zametki, Vol. 17, 2, pp. 231--244, 1975, (in Russian) .
  2. E. A. Storozhenko and V. G. Krotov and P. Oswald, Direct and inverse theorems of J ackson type in the spaces L_p 0 p 1, Mat. Sbornik, Vol. 98, 3, pp. 395--415, 1975, (in Russian) .
  3. V. G. Krotov and P. Oswald and E. A. Storozhenko, Direct and inverse theorems of J ackson type in the spaces L_p 0 p 1, Doklady Akad. Nauk USSR, Vol. 226, 1, pp. 44--47, 1976, (in Russian) .
  4. E. A. Storozhenko and P. Oswald, A theorem of J ackson type in the spaces L_p(R k) 0 p 1, Doklady Akad. Nauk USSR, Vol. 229, 3, pp. 554--557, 1976, (in Russian) .
  5. P. Oswald, Some inequalities for trigonometric polynomials in the metric L_p 0 p 1, Izv. Vusov Matematika, Vol. 7, pp. 65--75, 1976, (in Russian) .
  6. E. A. Storozhenko and P. Oswald, Moduli of smoothness and best approximation in the spaces L_p 0 p 1, Analysis Math., Vol. 3, 2, pp. 141--150, 1977.
  7. P. Oswald, On the C -norm of orthoprojections onto subspaces of polygons, Matem. Zametki, Vol. 21, 4, pp. 495--502, 1977, (in Russian) .
  8. E. A. Storozhenko and P. Oswald, Theorem of J ackson in the spaces L_p(R k) 0 p 1, Sibir. Mat. Zhurnal, Vol. 19, 4, pp. 888--901, 1978, (in Russian) .
  9. P. Oswald, Inequalities of J ackson type for algebraic best approximation in L_p, J. Approx. Th., Vol. 23, 2, pp. 113--137, 1978, (in German) .
  10. P. Oswald, On embedding theorems for functions from Phi(L), Wiss. Z. TU Dresden, Vol. 29, 6, pp. 1311--1315, 1980, (in German) .
  11. P. Oswald, Spline approximation in the metric L_p 0 p 1, Math. Nachr., Vol. 94, pp. 69--96, 1980, (in Russian) .
  12. P. Oswald, On algebraic approximation to functions in L_p, Proc. Conf. on Function Theory Baku 1977, pp. 207--211, Izd. Azerb. Univ. Baku, 1980, (in Russian) .
  13. P. Oswald, On a connectedness property of the complements of zero-neighbourhoods in topological vector spaces, Comm. Math. Univ. Carol., Vol. 22, 2, pp. 351--356, 1981.
  14. P. Oswald, On the convergence of orthogonal series in Phi(L), Wiss. Z. TU Dresden, Vol. 30, 4, pp. 117--119, 1981, (in German) .
  15. P. Oswald, L_p approximation by series with respect to the H aar and F aber- S chauder systems, J. Approx. Th., Vol. 33, 1, pp. 1--27, 1981, (in German) .
  16. P. Oswald, On inequalities for spline approximation and spline systems in the spaces L_p 0 p 1, Proc. Intern. Conf. Approximation and Function Spaces Gdansk 1979, Ed. Z. Ciesielski, pp. 531--552, PWN, Warsaw, 1981.
  17. P. Oswald, Convergence of spline expansions in H ardy spaces ( 0 ple 1, 07-03-81, Sekt. Mathematik TU Dresden, 1981.
  18. P. Oswald, Fourier series and conjugate function in Phi(L), Analysis Math., Vol. 8, 4, pp. 287--303, 1982.
  19. P. Oswald, On spline bases in periodic H ardy spaces 0 ple 1, Math. Nachr., Vol. 108, pp. 219--229, 1982.
  20. P. Oswald, On S chauder bases in H ardy spaces, Proc. Roy. Soc. Edinb. Ser. A, Vol. 93, pp. 259--263, 1983.
  21. P. Oswald, On B esov- H ardy- S obolev spaces of analytic functions in the unit disc, Czech. Math. J., Vol. 33, 108, pp. 408--426, 1983.
  22. P. Oswald, On some convergence properties of H aar- F ourier series in the classes Phi(L), Acta Math. Acad. Sci. Hung., Vol. 42, 3-4, pp. 279--293, 1983.
  23. P. Oswald, On the approximation rate of V allee P oussin means of trigonometric series in the metric L_p 0 p 1, Izv. Akad. Nauk Arm. SSR Ser. mat., Vol. 18, 3, pp. 230--245, 1983, (in Russian) .
  24. P. Oswald, On M arcinkiewicz means of double F ourier integrals in H_p ( p 1, Vestnik Mosk. Univ. Ser.mech.mat., Vol. 6, pp. 56--63, 1983, (in Russian) .
  25. P. Oswald, On coefficient properties of power series, Proc. Intern. Conf. Constructive Function Theory Varna 1981, Ed. B. Sendov and B. Boyanov and D. Vav c ov and R. Maleev and S. Markov and T. Boyanov, pp. 468--474, Publ. House Bulgarian Academy of Sciences, Sofia, 1983.
  26. P. Oswald, On some approximation properties in real H ardy spaces ( 0 p 1, J. Approx. Th., Vol. 40, 1, pp. 45--65, 1984.
  27. P. Oswald, Spline approximation in H_p(T) p 1, Studia Math., Vol. 81, pp. 13--28, 1985.
  28. P. Oswald, On apriori estimates for positive solutions of a semilinear biharmonic equation in a ball, Comm. Math. Univ. Carol., Vol. 26, 3, pp. 565--577, 1985.
  29. P. Oswald, On M arcinkiewicz- R iesz summability of F ourier integrals in H ardy spaces, Math. Nachr., Vol. 133, pp. 173--187, 1987.
  30. R. Fritzsch and P. Oswald, On optimal grid design for finite element approximations, Wiss. Z. TU Dresden, Vol. 37, 3, pp. 155--158, 1988, (in German) .
  31. G. Geymonat and P. Oswald, Some remarks on the approximation by finite element methods, Approximation and Function Spaces Banach Center Publ. 22, Ed. Z. Ciesielski, pp. 137--164, PWN, Warsaw, 1989.
  32. P. Oswald, On estimates for one-dimensional spline approximation, Splines in Numerical Analysis Proc. ISAM 89 Weissig, Ed. J. Spath and J. W. Schmidt, pp. 111--124, Akademieverl., Berlin, 1989.
  33. P. Oswald, On estimates for hierarchic basis representations of finite element functions, N 89 16, Sekt. Mathematik FSU Jena, 1989, Forschungsergebnisse.
  34. P. Oswald, On C 1 -interpolating hierarchical spline bases, N 89 19, Sekt. Mathematik FSU Jena, 1989, Forschungsergebnisse.
  35. P. Oswald, On function spaces related to finite element approximation theory, Z. Anal. Anwendungen, Vol. 9, 1, pp. 43--64, 1990.
  36. P. Oswald, On the degree of nonlinear spline approximation in B esov- S obolev spaces, J. Approx. Th., Vol. 61, 2, pp. 131--157, 1990.
  37. P. Oswald, Two remarks on multilevel preconditioners, Math-1-91, Fak. Math. Informatik FSU Jena, 1991, Forschungsergebnisse.
  38. P. Oswald, Hierarchical conforming finite element methods for the biharmonic equation, SIAM J. Numer. Anal., Vol. 29, pp. 1610--1625, 1992.
  39. P. Oswald, On a hierarchical basis multilevel method with nonconforming P1 elements, Numer. Math., Vol. 62, pp. 189--212, 1992.
  40. P. Oswald, On the boundedness of the mapping fto f in B esov spaces, Comm. Math. Univ. Carolinae, Vol. 33, pp. 57--66, 1992.
  41. P. Oswald, On discrete norm estimates related to multilevel preconditioners in the finite element method, Proc. Intern. Conf. Constructive Theory of Functions Varna 1991, Ed. K. G. Ivanov and P. Petrushev and B. Sendov, pp. 203--214, Publ. House Bulgarian Academy of Sciences, Sofia, 1992.
  42. P. Oswald, Norm equivalencies and multilevel S chwarz preconditioning for variational problems, Math-1-92, Fak. Math. Informatik FSU Jena, 1992, Forschungsergebnisse.
  43. P. Oswald, Stable splittings of S obolev spaces and fast solution of variational problems, Math-5-92, Fak. Math. Informatik FSU Jena, 1992, Forschungsergebnisse.
  44. P. Oswald, On a BPX -preconditioner for P1 -elements, Computing, Vol. 51, pp. 125--133, 1993.
  45. M. Griebel and P. Oswald, On additive S chwarz preconditioners for sparse grid discretizations, Numer. Math., Vol. 66, pp. 449--463, 1993.
  46. P. Oswald, Stable subspace splittings of S obolev spaces and their applications, Math-4-93, Fak. Math. Informatik FSU Jena, 1993, Forschungsergebnisse.
  47. P. Oswald, Multilevel Finite Element Approximation: Theory Applications, Teubner, Stuttgart, Teubner Skripten zur Numerik, 1994, (3-519-02719-4) .
  48. W. Dahmen and P. Oswald and X.-Q. Shi, C 1 -hierarchical bases, J. Comp. Appl. Math., Vol. 51, 1, pp. 37--56, 1994.
  49. P. Oswald, On the convergence rate of SOR A worst case estimate, Computing, Vol. 52, pp. 245--255, 1994.
  50. P. Oswald, Stable subspace splittings for S obolev spaces and some domain decomposition algorithms, Proc. 7th Intern. Symp. on Domain Decomposition Methods Penn State Univ. 1993, Ed. D. Keyes and J. Xu, pp. 87--98, AMS, Providence RI, 1994.
  51. U. Kotyzcka and P. Oswald, Piecewise linear prewavelets of small support, Approximation Theory VIII vol. 2, Ed. C. K. Chui and L. L. Schumaker, pp. 235--242, World Sci. Publ., Singapore, 1995.
  52. W. I. Filippov and P. Oswald, Representation in L_p by series of translates and dilates of one function, J. Approx. Th., Vol. 82, pp. 15--29, 1995.
  53. M. Griebel and P. Oswald, Remarks on the abstract theory of additive and multiplicative S chwarz methods, Numer. Math., Vol. 70, pp. 163--180, 1995.
  54. M. Griebel and P. Oswald, Tensor-product-type subspace splittings and multilevel iterative methods for anisotropic problems, Advances of Computational Mathematics, Vol. 4, pp. 171--206, 1995.
  55. P. Oswald, Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements, Numer. Lin. Alg. Appl., Vol. 2, pp. 487--505, 1995.
  56. P. Oswald, Preconditioners for nonconforming elements, Math. Comp., Vol. 65, pp. 923--941, 1996.
  57. R. Lorentz and P. Oswald, Constructing economical R iesz bases for S obolev spaces, 993, GMD German National Center for Information Technology, Sankt Augustin, May 1996, GMD-Arbeitsberichte.
  58. P. Oswald, Multilevel solvers for elliptic boundary value problems on domains, Multiscale Wavelet Methods for Partial Differential Equations, Ed. W. Dahmen and A. J. Kurdila and P. Oswald, Vol. 6, pp. 3--58, Academic Press, San Diego, Wavelet Analysis and Its Applications, 1997.
  59. J. Ko and A. J. Kurdila and P. Oswald, Scaling function and wavelet preconditioners for second order elliptic problems, Multiscale Wavelet Methods for Partial Differential Equations, Ed. W. Dahmen and A. J. Kurdila and P. Oswald, Vol. 6, pp. 413--438, Academic Press, San Diego, Wavelet Analysis and Its Applications, 1997.
  60. P. Oswald, Intergrid transfer operators and multilevel preconditioners for nonconforming discretizations, Appl. Numer. Math., Vol. 23, pp. 139--158, 1997.
  61. P. Oswald, An optimal multilevel preconditioner for solenoidal approximations of the 2 D S tokes problem, IMA J. Numer. Anal., Vol. 14, pp. 1--22, 1997.
  62. P. Oswald, On norm bounds for iterated intergrid transfer operators, 1079, GMD German National Center for Information Technology, Sankt Augustin, June 1997, GMD-Arbeitsberichte.
  63. R. Lorentz and P. Oswald, Nonexistence of compactly supported box spline prewavelets in S obolev spaces, Proc. Intern. Conf. Curves and Surfaces Chamonix 1996, Ed. A. Le Mehaute and C. Rabut and L. L. Schumaker, pp. 235--244, Vanderbilt Univ. Press, Nashville TN, 1997.
  64. R. Lorentz and P. Oswald, Multilevel finite element R iesz bases in S obolev spaces, Proc. 9th Intern. Conf. on Domain Decomposition Methods Bergen 1996, Ed. P. Bjorstad, 1998, (to appear) .
  65. Z. Chen and P. Oswald, Multigrid and multilevel methods for nonconforming rotated Q1 elements, Math. Comp., Vol. 67, pp. 667--693, 1998.
  66. P. Oswald, On the robustness of the BPX -preconditioner with respect to jumps in the coefficients, Math. Comp., 1998, (to appear) .
  67. P. Oswald, Multilevel norms for H -1 2, Computing, 1998, (to appear ITD-97-32674P BL0112740-971001-12TM) .
  68. P. Oswald, Multigrid prolongations and matrix subdivision, Approximation Theory IX vol. 2, Ed. C. K. Chui and L. L. Schumaker, pp. 275--282, Vanderbilt Univ. Press, Nashville TN, 1998, (ITD-98-33971A BL011274-980324-05TM) .
  69. M. Griebel and P. Oswald and T. Schiekofer, Sparse grids for boundary integral equations, Numer. Math., 1999, (submitted ITD-98-33970Y BL011274-980324-06TM) .
  70. R. Lorentz and P. Oswald, Criteria for hierarchical bases in S obolev spaces, Appl. Comput. Harmon. Anal., 1999, (submitted see also GMD-Arbeitsberichte 1059 (March 1997) GMD Sankt Augustin) .
  71. P. Oswald, Best N -term approximation by H aar functions in H s -norms, Approximation and Fourier Series, Ed. S. M. Nikolskij and B. S. Kashin and A. Izaak, AFC Russian Academy of Sciences, Moscow, 1999, (in Russian submitted) .
  72. P. Oswald, Subspace correction methods and multigrid theory, Multigrid methods: Basics Parallelism and Adaptivity, Ed. U. Trottenberg and C. W. Oosterlee and A. Schuller, Wiley, 1999, (invited book chapter submitted) .
  73. P. Oswald, Best N -term capacitance approximation on sparse grids, 11th Intern. Conf. on Domain Decomposition Methods, 1999, (submitted) .
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