Rolf Dieter Grigorieff
Institut für Mathematik
Technische Universität Berlin
Publications (selected)
- R. D. Grigorieff: On cardinal spline interpolation,
20 p. (2011), manuscript
Abstract
(pdf)
- R. D. Grigorieff: Additional order convergence in qualocation for elliptic boundary
integral equations,
J. Integral Equations Appl. 23, 383-419 (2011)
Abstract
(pdf)
- R. D. Grigorieff: Qualocation for periodic pseudodifferential
operators: additional order convergence, an overview,
in A. Elipe, J. I. Montijano and L. Rández (eds.):
Proc. MCalv6(5), Monografías de la Real Academia
de Ciencias de Zaragoza 33, 1-19 (2010)
Abstract
(pdf)
- E. Emmrich and R. D. Grigorieff: Supraconvergence of a finite difference scheme
for elliptic third kind boundary value problems
in fractional order Sobolev spaces,
CMAM 6, 154-177 (2006)
Abstract
(pdf)
- J.A. Ferreira and R. D. Grigorieff: Supraconvergence and supercloseness of a
scheme for elliptic equations on non-uniform grids,
Numer. Funct. Anal. Optimiz. 27, 539-564 (2006)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan : Qualocation for boundary integral equations using splines
with multiple knots,
J. Integral Equations Appl. 18, 117-140 (2006)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan : Discrete orthogonal projections on multiple knot periodic splines,
J. Approx. Th. 137, 201-225 (2005)
Abstract
(pdf)
- R. D. Grigorieff: Superapproximation for projections on spline spaces,
Numer. Math. 99, 657-668 (2005)
Abstract
(pdf)
- S. Barbeiro, J.A. Ferreira J .A. Ferreira and R. D. Grigorieff: Superconvergence
of a finite difference scheme for solutions in Hs(0,L),
IMA J. of Numer. Anal. 25, 797-811 (2005)
Abstract
(pdf)
- R. D. Grigorieff: Resolvent estimates in Lp for discretisations of
second order elliptic ordinary differential operators on variable grids,
Comp. Meth. in Appl. Math. 3, 235-252 (2003)
Abstract
(pdf)
- J .A. Ferreira and R. D. Grigorieff: Superconvergence of the gradient in a fully
discrete FEM scheme: one-dimensional case,
Preprint Departamento de Matem‡tica Universidade de Coimbra No. 02-02, 8 p.
Report
(pdf)
- M. Ganesh , R.
D. Grigorieff and K. Moustapha:
Discrete Petrov-Galerkin scheme for boundary value differential and
integral problems: Theory and applications,
Mathematical and Computer Modelling 40, 1323-1334 (2004)
Abstract
(pdf)
- M. Calvo and R. D. Grigorieff:
Time discretisation of parabolic problems with the variable 3-step BDF,
BIT 42, 689-701 (2002)
Abstract
(pdf)
- R. D. Grigorieff: On Convergence in Discretised Minimisation Problems,
Numer. Funct. Anal. Optimiz. 22, 577-607 (2001)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan : On qualocation and collocation methods for singular integral equations with piecewise
continuous coefficients, using continuous splines on quasi-uniform meshes,
Operator Theory: Advances and Applications 121, 146-161 (2001)
Abstract
(pdf)
- R. D. Grigorieff, I.
Sloan and J. H. Brandts: Superapproximation and Commutator Properties of
Discrete Orthogonal Projections for Continuous Splines, J. Approx.
Theory 107, 244-267 (2000)
Abstract
(pdf)
- R. D. Grigorieff and R. Köcher : Modelling
and numerical simulation of district
heating networks with time-saving solution methods, in W. Jäger
and H.-J. Krebs (eds.): Mathematics - Key Technology for the Future,
p. 252-262. Berlin: Springer 2003
Abstract
(pdf)
- N. Grigorieff
und R. D. Grigorieff: Asymptotisches Verhalten des Erwartungswertes
für den größten Wert bei n unabhängigen Beobachtungen einer normalverteilten
Variablen, Preprint-Reihe des FB Mathematik der TUB Nr. 647/1999, 5 S.
Report
(pdf)
- R. D. Grigorieff and I.
Sloan : Stability of Discrete Orthogonal Projections for Continuous
Splines in Lp-Spaces, Bull.
Australian Math. Soc. 58, 307-332 (1998)
Abstract
(pdf)
- J .A. Ferreira and R. D. Grigorieff: On the supraconvergence of
elliptic finite difference schemes, Applied Numer. Maths. 28, 275-292 (1998)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan: Galerkin Approximation with Quadrature for the Screen Problem
inR3, J. Integral Eqns. 9, 293-319 (1997)
Abstract
(pdf)
- M. Ainsworth , R.
D. Grigorieff and I.
Sloan : Semi-Discrete Galerkin Approximations of the Single Layer
Equation by general splines, Numer. Math. 79, 157-174 (1998)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan : High-Order Spline Petrov-Galerkin Methods with Quadrature,
in: G. Alefeld et al. (eds): Proceedings ICIAM 1995 , Suppl. 1 of
ZAMM 76, 15-18 (1996)
Abstract
(pdf)
- R. D. Grigorieff and I.
Sloan : Spline Petrov-Galerkin Methods with Quadrature, Numer.
Funct. Anal. Optimiz. 17, 755-784 (1996)
Abstract
(pdf)
- R. D. Grigorieff and R.
Plato : On a minimax property of seminorms, Linear Algebra Appl.
221, 227-243 (1995)
Abstract
(pdf)
- R. D. Grigorieff: A note on von Neumann's trace inequality,
Math. Nachr. 151, 327-328 (1991)
Report
(pdf)
- R. D. Grigorieff: Time discretization of semigroups by the variable
two-step BDF-method, In K. Strehmel (ed.): Numerical Treatment of Differential
Equations. (NUMDIFF-5, Halle 1989), p. 204-216. Leipzig: Teubner 1990
Abstract
(pdf)
- R. D. Grigorieff and R.M. Reemtsen : Discrete Approximations of Minimization
Problems. Part I: Theory, Part II: Applications, Numer. Funct. Anal.
Optimiz. 11, 701-719 and 721-761 (1990)
Abstract
(pdf)
- M. Calvo , T. Grande and R. D. Grigorieff: On the zero-stability
of the variable order variable step-size BDF-formulas, Numer. Math.
57, 39-50 (1990)
Abstract
(pdf)
- R. D. Grigorieff: On Stability Constants and Condition Numbers of
Discretization Methods, Applied Math. and Comp. 31, 486-516 (1989)
Abstract (pdf)
- R. D. Grigorieff: Remark on a Resolvent Inequality for the Second
Order Central Divided Difference Operator,
Preprint-Reihe des FB Mathematik der TUB Nr. 231/1989, 3 S.
Report
(pdf)
- R. D. Grigorieff: Some stability inequalities for compact finite
difference schemes, Math. Nachr. 135, 93-101 (1988)
Abstract
(pdf)
- R. D. Grigorieff: Elementary Proof of a Result by M.L.Treuden on
Collectively Compact Operator Sequences, Preprint-Reihe
des FB Mathematik der TUB Nr. 138/1985, 5 S.
Report
(pdf)
last changes 24/11/2011
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