Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Siegfried Prössdorf"'
Publikováno v:
Advances in Computational Mathematics. 8:111-135
In this paper we develop asymptotically optimal algorithms for fast computations with the discrete harmonic Poincare–Steklov operators (Dirichlet–Neumann mapping) for interior and exterior problems in the presence of a nested mesh refinement. Our
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bccb509b5ca83d2223e8a4c59217739f
https://doi.org/10.1023/a:1018988028583
https://doi.org/10.1023/a:1018988028583
Autor:
Siegfried Prössdorf, Jörg Schult
Publikováno v:
Advances in Computational Mathematics. 9:145-171
We develop a stability and convergence analysis of Galerkin–Petrov schemes based on a general setting of multiresolution generated by several refinable functions for the numerical solution of pseudodifferential equations on smooth closed curves. Pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2bbee61942b3cac0c7d66e2dd12e17c
https://doi.org/10.1023/a:1018977120831
https://doi.org/10.1023/a:1018977120831
Publikováno v:
Advances in Computational Mathematics. 4:331-355
In this paper we propose and analyze some strategies to construct asymptotically optimal algorithms for solving boundary reductions of the Laplace equation in the interior and exterior of a polygon. The interior Dirichlet or Neumann problems are, in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::002c3b9b72aa7be6a5a50e49da6973d0
https://doi.org/10.1007/bf02123480
https://doi.org/10.1007/bf02123480
Autor:
Siegfried Prössdorf, David Elliot
Publikováno v:
Numerische Mathematik. 70:427-452
The cruciform crack problem of elasticity gives rise to an integral equation of the second kind on [0,1] whose kernel has a fixed singularity at (0,0). We introduce a transformation of [0,1] onto itself such that an arbitrary number of derivatives va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d96a7419a5c69623dbc7a2fb4e2e429
https://doi.org/10.1007/s002110050127
https://doi.org/10.1007/s002110050127
Publikováno v:
BIT. 34:120-128
Let {pm(w)} be the sequence of Jacobi polynomials corresponding to the weightw(x)=(1−x)α(1+x)β, 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c691fe518129d2fde7817d8da5ea1a65
https://doi.org/10.1007/bf01935021
https://doi.org/10.1007/bf01935021
Autor:
Siegfried Prössdorf, J. Saranen
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. 13:683-695
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f4719877d4a2938d735af6a4ad12cac
https://doi.org/10.4171/zaa/483
https://doi.org/10.4171/zaa/483
Publikováno v:
Mathematische Zeitschrift. 215:583-620
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22de8bfafdae02959971d1f94b193684
https://doi.org/10.1007/bf02571732
https://doi.org/10.1007/bf02571732
Autor:
Siegfried Prössdorf, George C. Hsiao
Publikováno v:
Mathematische Nachrichten. 163:133-144
We prove quasioptimal and optimal order estimates in various Sobolev norms for the approximation of linear strongly elliptic periodic pseudodifferential equations in two independent variables by a modified method of nodal collocation by odd degree po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd854ef19d4e384dccdb1682b6900af9
https://doi.org/10.1002/mana.19931630113
https://doi.org/10.1002/mana.19931630113
Publikováno v:
Integral Equations and Operator Theory. 15:626-672
We investigate several numerical methods for solving the pseudodifferential equationAu=f on the n-dimensional torusT n . We examine collocation methods as well as Galerkin-Petrov methods using various periodical spline functions. The considered splin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84ed2af9bd7851b32af5ff9e0a1d9c9a
https://doi.org/10.1007/bf01195782
https://doi.org/10.1007/bf01195782
Publikováno v:
Integral Equations and Operator Theory. 14:399-435
In the present paper we prove the stability of a nodal spline collocation method for (locally) strongly elliptic zero order pseudodifferential equations inL 2 (Ω), where Ω is a bounded Lipschitz domain inℝ n . As trial functions we use multi-poly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a56cb1f5c4618f58d8bfc074191446c7
https://doi.org/10.1007/bf01218505
https://doi.org/10.1007/bf01218505