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Grigorieff, Rolf Dieter

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Author ID: grigorieff.rolf-dieter Recent zbMATH articles by "Grigorieff, Rolf Dieter"
Published as: Grigorieff, R. D.; Grigorieff, Rolf; Grigorieff, Rolf D.; Grigorieff, Rolf Dieter
Homepage: http://page.math.tu-berlin.de/~grigo/
External Links: MGP · dblp · GND
Documents Indexed: 59 Publications since 1969, including 4 Books
Reviewing Activity: 216 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 373 times in 227 Documents Cited by Year
Stability of multistep-methods on variable grids. Zbl 0554.65051
Grigorieff, Rolf Dieter
37
1983
Numerik gewöhnlicher Differentialgleichungen. Band 1: Einschrittverfahren. Zbl 0249.65051
Grigorieff, R. D.
22
1972
Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen. Zbl 0194.47303
Grigorieff, R. D.
22
1970
Zur Theorie linearer approximationsregulärer Operatoren. I; II. Zbl 0263.47013
Grigorieff, Rolf Dieter
21
1973
Supraconvergence of a finite difference scheme for solutions in \(H^S(0,L)\). Zbl 1087.65070
Barbeiro, S.; Ferreira, J. A.; Grigorieff, R. D.
18
2005
Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen. Zbl 0177.41201
Grigorieff, R. D.
17
1969
On the supraconvergence of elliptic finite difference schemes. Zbl 0929.65093
Ferreira, J. A.; Grigorieff, R. D.
16
1998
Supraconvergence and supercloseness of a scheme for elliptic equations on nonuniform grids. Zbl 1102.65109
Ferreira, J. A.; Grigorieff, R. D.
15
2006
Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung. Zbl 0391.65021
Grigorieff, Rolf Dieter
15
1975
Diskrete Approximation von Eigenwertproblemen. I: Qualitative Konvergenz. Zbl 0391.65020
Grigorieff, Rolf Dieter
13
1975
Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit. Zbl 0267.65045
Grigorieff, Rolf Dieter; Jeggle, Hansgeorg
13
1973
Some stability inequalities for compact finite difference schemes. Zbl 0654.65061
Grigorieff, Rolf Dieter
12
1988
Über diskrete Approximationen nichtlinearer Gleichungen 1. Art. Zbl 0369.65014
Grigorieff, Rolf Dieter
12
1975
Diskret kompakte Einbettungen in Sobolewschen Räumen. (Discretely compact embeddings in Sobolev spaces.). Zbl 0222.35002
Grigorieff, Rolf Dieter
12
1972
Diskrete Approximation von Eigenwertproblemen. III: Asymptotische Entwicklungen. Zbl 0391.65022
Grigorieff, Rolf Dieter
10
1975
Über die Koerzitivität gewöhnlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren. Zbl 0208.41705
Grigorieff, R. D.
9
1970
Differenzenapproximationen von Integro-Differentialgleichungen einer Veränderlichen. Zbl 0542.65093
Grigorieff, Rolf Dieter
8
1983
Zur diskreten Kompaktheit von Funktionen auf nichtäquidistanten Gittern in \({\mathbb{R}}\). Zbl 0537.65012
Grigorieff, Rolf Dieter
8
1982
Numerik gewöhnlicher Differentialgleichungen. Band 2: Mehrschrittverfahren. Zbl 0372.65025
Grigorieff, Rolf Dieter; Pfeiffer, Hans Joachim
8
1977
Stability of discrete orthogonal projections for continuous splines. Zbl 0926.65015
Grigorieff, R. D.; Sloan, I. H.
7
1998
Über die Fredholm-Alternative bei linearen approximationsregulären Operatoren. Zbl 0244.47005
Grigorieff, Rolf Dieter
6
1972
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
5
2006
Time discretisation of parabolic problems with the variable 3-step BDF. Zbl 1014.65086
Calvo, M.; Grigorieff, R. D.
5
2002
Superapproximation and commutator properties of discrete orthogonal projections for continuous splines. Zbl 0979.65010
Grigorieff, R. D.; Sloan, I. H.; Brandts, J. H.
5
2000
On the zero stability of the variable order variable stepsize BDF- formulas. Zbl 0696.65077
Calvo, M.; Grande, T.; Grigorieff, R. D.
5
1990
Über die Lösung regulärer koerzitiver Rand- und Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0185.41501
Grigorieff, R. D.
5
1969
On a minimax equality for seminorms. Zbl 0829.46005
Grigorieff, R. D.; Plato, R.
4
1995
Discrete approximations of minimization problems. I: Theory. Zbl 0743.65058
Grigorieff, R. D.; Reemtsen, R. M.
4
1990
On the zero-stability of the 3-step BDF-formula on nonuniform grids. Zbl 0554.65052
Grigorieff, R. D.; Paes-Leme, P. J.
4
1984
Über \(A(\alpha)\)-stabile Verfahren hoher Konsistenzordnung. Zbl 0395.65043
Grigorieff, R. D.; Schroll, J.
4
1978
Quadraturformelmethoden zur näherungsweisen Lösung von nichtlinearen Eigenwertaufgaben bei Integralgleichungen. Zbl 0236.65085
Grigorieff, R. D.; Jeggle, H.
4
1972
Discrete orthogonal projections on multiple knot periodic splines. Zbl 1083.41006
Grigorieff, R. D.; Sloan, I. H.
3
2005
On qualocation and collocation methods for singular integral equations with piecewise continuous coefficients, using continuous splines on quasi-uniform meshes. Zbl 1005.65147
Grigorieff, R. D.; Sloan, Ian H.
3
2001
High-order spline Petrov-Galerkin methods with quadrature. Zbl 0900.65257
Grigorieff, R. D.; Sloan, I. H.
3
1996
Spline Petrov-Galerkin methods with quadrature. Zbl 0880.65061
Grigorieff, R. D.; Sloan, I. H.
3
1996
Discrete Petrov-Galerkin scheme for boundary value differential and integral problems: Theory and applications. Zbl 1075.65105
Ganesh, M.; Grigorieff, R. D.; Mustapha, K.
2
2004
Semi-discrete Galerkin approximation of the single layer equation by general splines. Zbl 0909.65084
Ainsworth, Mark; Grigorieff, Rolf; Sloan, Ian
2
1998
Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\). Zbl 0908.65129
Grigorieff, R. D.; Sloan, I. H.
2
1997
Time discretization of semigroups by the variable two-step BDF method. Zbl 0731.65080
Grigorieff, Rolf Dieter
2
1991
Convergence of discrete Green’s functions for finite difference schemes. Zbl 0576.65079
Grigorieff, Rolf Dieter
2
1985
Superapproximation for projections on spline spaces. Zbl 1069.41009
Grigorieff, R. D.
1
2005
A note on von Neumann’s trace inequality. Zbl 0735.15017
Grigorieff, Rolf Dieter
1
1991
Discrete approximations of minimization problems. II: Applications. Zbl 0743.65059
Grigorieff, R. D.; Remtsen, R. M.
1
1990
On the convergence of stability constants. Zbl 0613.65138
Grigorieff, Rolf Dieter
1
1986
Fundamentals of numerical computation (computer-oriented numerical analysis). In cooperation with R. Albrecht, U. Kulisch, and F. Stummel. Zbl 0423.00017
Alefeld, G. (ed.); Grigorieff, R. D. (ed.)
1
1980
Supraconvergence and supercloseness of a scheme for elliptic equations on nonuniform grids. Zbl 1102.65109
Ferreira, J. A.; Grigorieff, R. D.
15
2006
Supraconvergence of a finite difference scheme for elliptic boundary value problems of the third kind in fractional order Sobolev spaces. Zbl 1100.65085
Emmrich, E.; Grigorieff, R. D.
5
2006
Supraconvergence of a finite difference scheme for solutions in \(H^S(0,L)\). Zbl 1087.65070
Barbeiro, S.; Ferreira, J. A.; Grigorieff, R. D.
18
2005
Discrete orthogonal projections on multiple knot periodic splines. Zbl 1083.41006
Grigorieff, R. D.; Sloan, I. H.
3
2005
Superapproximation for projections on spline spaces. Zbl 1069.41009
Grigorieff, R. D.
1
2005
Discrete Petrov-Galerkin scheme for boundary value differential and integral problems: Theory and applications. Zbl 1075.65105
Ganesh, M.; Grigorieff, R. D.; Mustapha, K.
2
2004
Time discretisation of parabolic problems with the variable 3-step BDF. Zbl 1014.65086
Calvo, M.; Grigorieff, R. D.
5
2002
On qualocation and collocation methods for singular integral equations with piecewise continuous coefficients, using continuous splines on quasi-uniform meshes. Zbl 1005.65147
Grigorieff, R. D.; Sloan, Ian H.
3
2001
Superapproximation and commutator properties of discrete orthogonal projections for continuous splines. Zbl 0979.65010
Grigorieff, R. D.; Sloan, I. H.; Brandts, J. H.
5
2000
On the supraconvergence of elliptic finite difference schemes. Zbl 0929.65093
Ferreira, J. A.; Grigorieff, R. D.
16
1998
Stability of discrete orthogonal projections for continuous splines. Zbl 0926.65015
Grigorieff, R. D.; Sloan, I. H.
7
1998
Semi-discrete Galerkin approximation of the single layer equation by general splines. Zbl 0909.65084
Ainsworth, Mark; Grigorieff, Rolf; Sloan, Ian
2
1998
Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\). Zbl 0908.65129
Grigorieff, R. D.; Sloan, I. H.
2
1997
High-order spline Petrov-Galerkin methods with quadrature. Zbl 0900.65257
Grigorieff, R. D.; Sloan, I. H.
3
1996
Spline Petrov-Galerkin methods with quadrature. Zbl 0880.65061
Grigorieff, R. D.; Sloan, I. H.
3
1996
On a minimax equality for seminorms. Zbl 0829.46005
Grigorieff, R. D.; Plato, R.
4
1995
Time discretization of semigroups by the variable two-step BDF method. Zbl 0731.65080
Grigorieff, Rolf Dieter
2
1991
A note on von Neumann’s trace inequality. Zbl 0735.15017
Grigorieff, Rolf Dieter
1
1991
On the zero stability of the variable order variable stepsize BDF- formulas. Zbl 0696.65077
Calvo, M.; Grande, T.; Grigorieff, R. D.
5
1990
Discrete approximations of minimization problems. I: Theory. Zbl 0743.65058
Grigorieff, R. D.; Reemtsen, R. M.
4
1990
Discrete approximations of minimization problems. II: Applications. Zbl 0743.65059
Grigorieff, R. D.; Remtsen, R. M.
1
1990
Some stability inequalities for compact finite difference schemes. Zbl 0654.65061
Grigorieff, Rolf Dieter
12
1988
On the convergence of stability constants. Zbl 0613.65138
Grigorieff, Rolf Dieter
1
1986
Convergence of discrete Green’s functions for finite difference schemes. Zbl 0576.65079
Grigorieff, Rolf Dieter
2
1985
On the zero-stability of the 3-step BDF-formula on nonuniform grids. Zbl 0554.65052
Grigorieff, R. D.; Paes-Leme, P. J.
4
1984
Stability of multistep-methods on variable grids. Zbl 0554.65051
Grigorieff, Rolf Dieter
37
1983
Differenzenapproximationen von Integro-Differentialgleichungen einer Veränderlichen. Zbl 0542.65093
Grigorieff, Rolf Dieter
8
1983
Zur diskreten Kompaktheit von Funktionen auf nichtäquidistanten Gittern in \({\mathbb{R}}\). Zbl 0537.65012
Grigorieff, Rolf Dieter
8
1982
Fundamentals of numerical computation (computer-oriented numerical analysis). In cooperation with R. Albrecht, U. Kulisch, and F. Stummel. Zbl 0423.00017
Alefeld, G. (ed.); Grigorieff, R. D. (ed.)
1
1980
Über \(A(\alpha)\)-stabile Verfahren hoher Konsistenzordnung. Zbl 0395.65043
Grigorieff, R. D.; Schroll, J.
4
1978
Numerik gewöhnlicher Differentialgleichungen. Band 2: Mehrschrittverfahren. Zbl 0372.65025
Grigorieff, Rolf Dieter; Pfeiffer, Hans Joachim
8
1977
Diskrete Approximation von Eigenwertproblemen. II: Konvergenzordnung. Zbl 0391.65021
Grigorieff, Rolf Dieter
15
1975
Diskrete Approximation von Eigenwertproblemen. I: Qualitative Konvergenz. Zbl 0391.65020
Grigorieff, Rolf Dieter
13
1975
Über diskrete Approximationen nichtlinearer Gleichungen 1. Art. Zbl 0369.65014
Grigorieff, Rolf Dieter
12
1975
Diskrete Approximation von Eigenwertproblemen. III: Asymptotische Entwicklungen. Zbl 0391.65022
Grigorieff, Rolf Dieter
10
1975
Zur Theorie linearer approximationsregulärer Operatoren. I; II. Zbl 0263.47013
Grigorieff, Rolf Dieter
21
1973
Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit. Zbl 0267.65045
Grigorieff, Rolf Dieter; Jeggle, Hansgeorg
13
1973
Numerik gewöhnlicher Differentialgleichungen. Band 1: Einschrittverfahren. Zbl 0249.65051
Grigorieff, R. D.
22
1972
Diskret kompakte Einbettungen in Sobolewschen Räumen. (Discretely compact embeddings in Sobolev spaces.). Zbl 0222.35002
Grigorieff, Rolf Dieter
12
1972
Über die Fredholm-Alternative bei linearen approximationsregulären Operatoren. Zbl 0244.47005
Grigorieff, Rolf Dieter
6
1972
Quadraturformelmethoden zur näherungsweisen Lösung von nichtlinearen Eigenwertaufgaben bei Integralgleichungen. Zbl 0236.65085
Grigorieff, R. D.; Jeggle, H.
4
1972
Die Konvergenz des Rand- und Eigenwertproblems linearer gewöhnlicher Differenzengleichungen. Zbl 0194.47303
Grigorieff, R. D.
22
1970
Über die Koerzitivität gewöhnlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren. Zbl 0208.41705
Grigorieff, R. D.
9
1970
Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen. Zbl 0177.41201
Grigorieff, R. D.
17
1969
Über die Lösung regulärer koerzitiver Rand- und Eigenwertaufgaben mit dem Galerkinverfahren. Zbl 0185.41501
Grigorieff, R. D.
5
1969
all top 5

Cited by 260 Authors

29 Grigorieff, Rolf Dieter
13 Ferreira, José Augusto
8 Sloan, Ian Hugh
6 Barbeiro, Sílvia
6 Esser, Henning
6 Piskarëv, S. I.
5 Ganesh, Madhu
5 Jeggle, Hansgeorg
5 Pinto, L.
5 Strehmel, Karl
4 Beyn, Wolf-Jürgen
4 Niepage, Hans-Dietrich
4 Stummel, Friedrich
3 Calvo, Manuel
3 Emmrich, Etienne
3 Feng, Xinlong
3 Ferrándiz, José Manuel
3 Karma, Otto
3 Liao, HongLin
3 Rannacher, Rolf
3 Silveira, Elisa
3 Vainikko, Gennadi M.
3 Weiner, Rüdiger
3 Wendland, Wolfgang L.
2 Akrivis, Georgios D.
2 Anselone, Philip M.
2 Ansorge, Rainer
2 Ashyralyev, Allaberen
2 Bohl, Erich
2 Böhmer, Klaus
2 Brandts, Jan H.
2 Chatelin, Francoise E.
2 Chen, Zhangxin
2 Etienne, Stéphane
2 Fekete, Imre
2 Felli, Veronica
2 Garon, André
2 Gekeler, Eckart W.
2 Hay, Alexander
2 He, Ruijian
2 Hoppe, Ronald H. W.
2 Jordão, Daniela
2 Kruse, Raphael
2 Kulikov, Gennady Yur’evich
2 Montijano, Juan Ignacio
2 Mustapha, Kassem
2 Oliveira, Paula
2 Orlovskiĭ, Dmitriĭ Germanovich
2 Pastor, Javier
2 Pelletier, Dominique H.
2 Petryshyn, Walter Wolodymyr
2 Rández, Luis
2 Reemtsen, Rembert M.
2 Shindin, Sergey Konstantinovich
2 Söderlind, Gustaf
2 Tautenhahn, Ulrich
2 Terracini, Susanna
2 Vigo-Aguiar, Jesus
2 Wang, Wansheng
2 Wolf, Rudolf
2 Zhou, Tao
2 Zlatev, Zahari
1 Abatangelo, Laura
1 Abia, Luis M.
1 Aguilar-Martin, Joseph
1 Allonsius, Damien
1 Arévalo, Carmen
1 Ashwin, Peter
1 Bardeji, Somayeh Gh.
1 Baron, Vincent
1 Bebiano, Natália Isabel Quadros
1 Becker, Joakim
1 Becker, Ronald I.
1 Belyaev, Vissarion V.
1 Bergmann, Katharina
1 Berkowicz, Ruwim
1 Bögli, Sabine
1 Bouchala, Jiří
1 Boyer, Franck
1 Bruder, Jürgen
1 Calvo, M. P.
1 Chawla, Man M.
1 Chen, Wenbin
1 Christie, Ian
1 Chung Graham, Fan-Rong King
1 Coudière, Yves
1 Crouzeix, Michel
1 da Providência Santarém e Costa, João
1 Dancer, Edward Norman
1 Daners, Daniel
1 Das, Pratibhamoy
1 De Meyer, Hans E.
1 de Oliveira, Paulo Murilo C.
1 de Oliveira, Pedro H. A.
1 Dede, Luca
1 Descloux, Jean
1 Diskin, Boris
1 Dutykh, Denys
1 Engl, Heinz W.
1 Fairweather, Graeme
...and 160 more Authors
all top 5

Cited in 65 Serials

31 Numerische Mathematik
28 Numerical Functional Analysis and Optimization
20 Applied Numerical Mathematics
13 Journal of Computational and Applied Mathematics
9 Computers & Mathematics with Applications
8 Mathematics of Computation
8 BIT
8 Computing
5 Applicable Analysis
5 Journal of Mathematical Analysis and Applications
4 Journal of Differential Equations
4 Mathematische Zeitschrift
4 Numerical Algorithms
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Computational Physics
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Applied Mathematics and Computation
3 SIAM Journal on Numerical Analysis
3 Mathematical and Computer Modelling
2 Linear and Multilinear Algebra
2 Mathematical Methods in the Applied Sciences
2 Journal of Approximation Theory
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 RAIRO. Analyse Numérique
2 Zeitschrift für Analysis und ihre Anwendungen
2 Journal of Integral Equations and Applications
2 Applications of Mathematics
2 Journal of Mathematical Sciences (New York)
2 Science China. Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Bulletin of the Australian Mathematical Society
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 Computer Physics Communications
1 Ingenieur-Archiv
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Czechoslovak Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Optimization
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 Mathematical Programming. Series A. Series B
1 Advances in Engineering Software
1 Computational Optimization and Applications
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Differential Equations
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Bulletin of the American Mathematical Society
1 Advances in Numerical Analysis
1 Applied Mathematics and Nonlinear Sciences

Citations by Year