×

zbMATH — the first resource for mathematics

Grossmann, Christian

Compute Distance To:
Author ID: grossmann.christian Recent zbMATH articles by "Grossmann, Christian"
Published as: Grossmann, C.; Grossmann, Ch.; Grossmann, Chr.; Grossmann, Christian; Großmann, C.; Großmann, Ch.; Großmann, Chr.; Großmann, Christian
Documents Indexed: 101 Publications since 1972, including 15 Books
Reviewing Activity: 41 Reviews

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 174 times in 141 Documents Cited by Year
Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of ‘Numerische Behandlung partieller Differentialgleichungen’ by Martin Stynes. Zbl 1180.65147
Grossmann, Christian; Roos, Hans-Görg; Stynes, Martin
48
2007
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
9
1996
Numerics of partial differential equations. Zbl 0755.65087
Großmann, Christian; Roos, Hans-Görg
9
1992
Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities. Zbl 0778.65074
Carl, S.; Grossmann, C.
8
1990
Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems). Zbl 0621.65092
Großmann, C.; Krätzschmar, M.; Roos, H.-G.
8
1986
The numerical analysis of partial differential equations. 2., durchges. Aufl. Zbl 0822.65055
Großmann, Christian; Roos, Hans-Görg
7
1994
A general class of penalty/barrier path-following Newton methods for nonlinear programming. Zbl 1104.90046
Grossmann, C.; Zadlo, M.
6
2005
Monotone iteration descretization algorithm for BVP’s. Zbl 0662.65077
Al-Zanaidi, M.; Grossmann, Ch.
5
1989
Feedback grid generation via monotone discretization for two-point boundary-value problems. Zbl 0655.65105
Grossmann, Ch.; Roos, H.-G.
5
1986
Strafmethoden und modifizierte Lagrange Funktionen in der nichtlinearen Optimierung. Zbl 0425.65035
Großmann, Christian; Kaplan, Aleksander A.
5
1979
The numerical analysis of partial differential equations. 3rd revised and expanded ed. Zbl 1086.65109
Großmann, Christian; Roos, Hans-Görg
4
2005
Numerical methods in optimization. Zbl 0808.65065
Großmann, Christian; Terno, Johannes
4
1993
Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control. Zbl 1091.35006
Al-Zanaidi, M. A.; Grossmann, C.; Noack, A.
3
2006
Smoothing and Rothe’s method for Stefan problems in enthalpy form. Zbl 0994.65099
Grossmann, C.; Noack, A.
3
2002
Path-following barrier and penalty methods for linearly constrained problems. Zbl 0980.90084
Al-Mutairi, D.; Grossmann, C.; Tuan, Vu Kim
3
2000
On the solution of discretized obstacle problems by an adapted penalty method. Zbl 0569.65050
Grossmann, C.; Kaplan, A. A.
3
1985
Verfahren der nichtlinearen Optimierung. 2. Aufl. Zbl 0434.90056
Großmann, Christian; Kleinmichel, Helmut
3
1979
Verfahren der nichtlinearen Optimierung. Zbl 0349.90096
Grossmann, Christian; Kleinmichel, Helmut
3
1976
FEM-based reconstruction of sound pressure field damped by partially absorbing boundary conditions. Zbl 1192.76045
Anderssohn, R.; Marburg, St.; Großmann, Chr.
2
2006
General primal-dual penalty/barrier path-following Newton methods for nonlinear programming. Zbl 1147.90413
Grossmann, C.; Zadlo, M.
2
2005
Smoothing and Newton’s method for a discontinuous variational equation of Stefan type. Zbl 0973.35102
Grossmann, C.; Scheffler, H.-P.; Winzer, S.
2
2001
Asymptotic analysis of a path-following barrier method for linearly constrained convex problems. Zbl 0949.90074
Grossmann, C.
2
1999
Monotonous enclosures for the Thomas-Fermi equation in the isolated neutral atom case. Zbl 0854.65069
Al-Zanaidi, M.; Grossmann, C.; Voller, R. L.
2
1996
Uniform enclosure of high order for boundary value problems by monotone discretization. Zbl 0673.34025
Großmann, Ch.; Roos, H.-G.
2
1989
Monotone discretization in boundary value problems using PASCAL-SC. Zbl 0681.65055
Al-Zanaidi, Mansour; Grossmann, Christian
2
1988
On the rate of convergence of sequential unconstrained minimization techniques. Zbl 0526.65043
Grossmann, Ch.; Kaplan, A. A.
2
1983
Iteration-discretization methods for variational inequalities over fixed point sets. Zbl 1304.47076
Cegielski, Andrzej; Grossmann, Christian
1
2013
Penalties, Lagrange multipliers and Nitsche mortaring. Zbl 1217.65122
Grossmann, Christian
1
2010
Elliptic control by penalty techniques with control reduction. Zbl 1189.49047
Grossmann, Christian; Kunz, Holger; Meischner, Robert
1
2009
Implicit Taylor methods for parabolic equations with jumps in data. Zbl 1077.35006
Al-Zanaidi, M. A.; Grossmann, C.; Noack, A.
1
2005
On numerical problems caused by discontinuities in controls. Zbl 1050.49023
Großmann, Christian; Noack, Antje; Vanselow, Reiner
1
2003
Penalty/barrier path-following in linearly constrained optimization. Zbl 0980.90085
Grossmann, Christian
1
2000
Smoothing and monotone iterations for elliptic differential inclusions. Zbl 0839.65113
Carl, S.; Grossmann, C.
1
1996
Discretization of two-point boundary value problems on an unbounded interval by simplified operators. Zbl 0845.65034
Al-Musallam, F.; Al-Zanaidi, M.; Grossmann, C.
1
1995
Boundary value problems with discontinuities and monotone discretization. Zbl 0810.65081
Carl, S.; Grossmann, C.
1
1994
Enclosures of the solution of the Thomas-Fermi equation by monotone discretization. Zbl 0753.65066
Grossmann, C.
1
1992
Directional approximation of the Jacobians in row-methods. Zbl 0719.65065
Burmeister, W.; Grossmann, Ch.; Scholz, S.
1
1991
Convergence analysis of higher order monotone discretization. Zbl 0675.65081
Großmann, Christian; Roos, Hans-Görg
1
1989
Iterative spline bounds for systems of boundary value problems. Zbl 0673.65042
Carl, S.; Grossmann, C.
1
1989
Monotone discretization of two-point boundary value problems and related numerical methods. Zbl 0645.65042
Großmann, Ch.
1
1987
Discretization in differential equations and enclosures. Papers from a Workshop held in Weißig, GDR, March 10–14, 1986. Zbl 0636.00010
Adams, Ernst (ed.); Ansorge, Rainer (ed.); Großmann, Christian (ed.); Roos, Hans-Görg (ed.)
1
1987
Monotone Einschließung höherer Ordnung für 2-Punkt- Randwertaufgaben. (Monotone inclusion of higher order for two-point boundary value problems). Zbl 0634.65043
Grossmann, Ch.
1
1987
Monotone Diskretisierungsverfahren und Lösungseinschließung für 2-Punkt-Randwertaufgaben. (Monotone discretization process and solution enclosure for two-point boundary value problems). Zbl 0607.34015
Großmann, C.; Krätzschmar, M.
1
1984
Dualität und Strafmethoden bei elliptischen Differentialgleichungen. Zbl 0537.49019
Grossmann, Ch.
1
1984
A unified approach to nonlinear programming algorithms basing on sequential unconstrained minimizations. Zbl 0445.90064
Großmann, Ch.
1
1980
Eine Erweiterung der Verfahren der zulässigen Richtungen. Zbl 0406.90058
Freytag, J.; Grossmann, Ch.
1
1978
Sensitivität und Anwendbarkeit von Straf-Barriere-Methoden. Zbl 0406.90066
Grossmann, Ch.; Schöniger, G.
1
1977
Eine neue parameterfreie Strafmethode in der nichtlinearen Optimierung. Zbl 0251.90041
Grossmann, Christian
1
1972
Iteration-discretization methods for variational inequalities over fixed point sets. Zbl 1304.47076
Cegielski, Andrzej; Grossmann, Christian
1
2013
Penalties, Lagrange multipliers and Nitsche mortaring. Zbl 1217.65122
Grossmann, Christian
1
2010
Elliptic control by penalty techniques with control reduction. Zbl 1189.49047
Grossmann, Christian; Kunz, Holger; Meischner, Robert
1
2009
Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of ‘Numerische Behandlung partieller Differentialgleichungen’ by Martin Stynes. Zbl 1180.65147
Grossmann, Christian; Roos, Hans-Görg; Stynes, Martin
48
2007
Implicit Taylor methods for parabolic problems with nonsmooth data and applications to optimal heat control. Zbl 1091.35006
Al-Zanaidi, M. A.; Grossmann, C.; Noack, A.
3
2006
FEM-based reconstruction of sound pressure field damped by partially absorbing boundary conditions. Zbl 1192.76045
Anderssohn, R.; Marburg, St.; Großmann, Chr.
2
2006
A general class of penalty/barrier path-following Newton methods for nonlinear programming. Zbl 1104.90046
Grossmann, C.; Zadlo, M.
6
2005
The numerical analysis of partial differential equations. 3rd revised and expanded ed. Zbl 1086.65109
Großmann, Christian; Roos, Hans-Görg
4
2005
General primal-dual penalty/barrier path-following Newton methods for nonlinear programming. Zbl 1147.90413
Grossmann, C.; Zadlo, M.
2
2005
Implicit Taylor methods for parabolic equations with jumps in data. Zbl 1077.35006
Al-Zanaidi, M. A.; Grossmann, C.; Noack, A.
1
2005
On numerical problems caused by discontinuities in controls. Zbl 1050.49023
Großmann, Christian; Noack, Antje; Vanselow, Reiner
1
2003
Smoothing and Rothe’s method for Stefan problems in enthalpy form. Zbl 0994.65099
Grossmann, C.; Noack, A.
3
2002
Smoothing and Newton’s method for a discontinuous variational equation of Stefan type. Zbl 0973.35102
Grossmann, C.; Scheffler, H.-P.; Winzer, S.
2
2001
Path-following barrier and penalty methods for linearly constrained problems. Zbl 0980.90084
Al-Mutairi, D.; Grossmann, C.; Tuan, Vu Kim
3
2000
Penalty/barrier path-following in linearly constrained optimization. Zbl 0980.90085
Grossmann, Christian
1
2000
Asymptotic analysis of a path-following barrier method for linearly constrained convex problems. Zbl 0949.90074
Grossmann, C.
2
1999
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
9
1996
Monotonous enclosures for the Thomas-Fermi equation in the isolated neutral atom case. Zbl 0854.65069
Al-Zanaidi, M.; Grossmann, C.; Voller, R. L.
2
1996
Smoothing and monotone iterations for elliptic differential inclusions. Zbl 0839.65113
Carl, S.; Grossmann, C.
1
1996
Discretization of two-point boundary value problems on an unbounded interval by simplified operators. Zbl 0845.65034
Al-Musallam, F.; Al-Zanaidi, M.; Grossmann, C.
1
1995
The numerical analysis of partial differential equations. 2., durchges. Aufl. Zbl 0822.65055
Großmann, Christian; Roos, Hans-Görg
7
1994
Boundary value problems with discontinuities and monotone discretization. Zbl 0810.65081
Carl, S.; Grossmann, C.
1
1994
Numerical methods in optimization. Zbl 0808.65065
Großmann, Christian; Terno, Johannes
4
1993
Numerics of partial differential equations. Zbl 0755.65087
Großmann, Christian; Roos, Hans-Görg
9
1992
Enclosures of the solution of the Thomas-Fermi equation by monotone discretization. Zbl 0753.65066
Grossmann, C.
1
1992
Directional approximation of the Jacobians in row-methods. Zbl 0719.65065
Burmeister, W.; Grossmann, Ch.; Scholz, S.
1
1991
Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities. Zbl 0778.65074
Carl, S.; Grossmann, C.
8
1990
Monotone iteration descretization algorithm for BVP’s. Zbl 0662.65077
Al-Zanaidi, M.; Grossmann, Ch.
5
1989
Uniform enclosure of high order for boundary value problems by monotone discretization. Zbl 0673.34025
Großmann, Ch.; Roos, H.-G.
2
1989
Convergence analysis of higher order monotone discretization. Zbl 0675.65081
Großmann, Christian; Roos, Hans-Görg
1
1989
Iterative spline bounds for systems of boundary value problems. Zbl 0673.65042
Carl, S.; Grossmann, C.
1
1989
Monotone discretization in boundary value problems using PASCAL-SC. Zbl 0681.65055
Al-Zanaidi, Mansour; Grossmann, Christian
2
1988
Monotone discretization of two-point boundary value problems and related numerical methods. Zbl 0645.65042
Großmann, Ch.
1
1987
Discretization in differential equations and enclosures. Papers from a Workshop held in Weißig, GDR, March 10–14, 1986. Zbl 0636.00010
Adams, Ernst (ed.); Ansorge, Rainer (ed.); Großmann, Christian (ed.); Roos, Hans-Görg (ed.)
1
1987
Monotone Einschließung höherer Ordnung für 2-Punkt- Randwertaufgaben. (Monotone inclusion of higher order for two-point boundary value problems). Zbl 0634.65043
Grossmann, Ch.
1
1987
Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems). Zbl 0621.65092
Großmann, C.; Krätzschmar, M.; Roos, H.-G.
8
1986
Feedback grid generation via monotone discretization for two-point boundary-value problems. Zbl 0655.65105
Grossmann, Ch.; Roos, H.-G.
5
1986
On the solution of discretized obstacle problems by an adapted penalty method. Zbl 0569.65050
Grossmann, C.; Kaplan, A. A.
3
1985
Monotone Diskretisierungsverfahren und Lösungseinschließung für 2-Punkt-Randwertaufgaben. (Monotone discretization process and solution enclosure for two-point boundary value problems). Zbl 0607.34015
Großmann, C.; Krätzschmar, M.
1
1984
Dualität und Strafmethoden bei elliptischen Differentialgleichungen. Zbl 0537.49019
Grossmann, Ch.
1
1984
On the rate of convergence of sequential unconstrained minimization techniques. Zbl 0526.65043
Grossmann, Ch.; Kaplan, A. A.
2
1983
A unified approach to nonlinear programming algorithms basing on sequential unconstrained minimizations. Zbl 0445.90064
Großmann, Ch.
1
1980
Strafmethoden und modifizierte Lagrange Funktionen in der nichtlinearen Optimierung. Zbl 0425.65035
Großmann, Christian; Kaplan, Aleksander A.
5
1979
Verfahren der nichtlinearen Optimierung. 2. Aufl. Zbl 0434.90056
Großmann, Christian; Kleinmichel, Helmut
3
1979
Eine Erweiterung der Verfahren der zulässigen Richtungen. Zbl 0406.90058
Freytag, J.; Grossmann, Ch.
1
1978
Sensitivität und Anwendbarkeit von Straf-Barriere-Methoden. Zbl 0406.90066
Grossmann, Ch.; Schöniger, G.
1
1977
Verfahren der nichtlinearen Optimierung. Zbl 0349.90096
Grossmann, Christian; Kleinmichel, Helmut
3
1976
Eine neue parameterfreie Strafmethode in der nichtlinearen Optimierung. Zbl 0251.90041
Grossmann, Christian
1
1972
all top 5

Cited by 198 Authors

21 Grossmann, Christian
8 Carl, Siegfried
6 Roos, Hans-Görg
4 Al-Zanaidi, Mansour A.
4 Harbrecht, Helmut
3 Ambrazevičius, Algirdas
3 Chernogorova, Tatiana P.
3 Hartmann, Stefan
3 Krätzschmar, Michael
3 Lang, Annika
3 Noack, Antje
3 Ruiz Galán, Manuel
3 Skakauskas, Vladas
3 Vabishchevich, Pëtr Nikolaevich
3 Valkov, Radoslav L.
3 Winkler, Max
2 Al-Musallam, Fadhel A.
2 Anderssohn, Robert
2 Apel, Thomas
2 Bokhari, M. A.
2 Boucherif, Abdelkader
2 Eppler, Karsten
2 Fuhrmann, Jürgen
2 Hofmann, Bernd
2 Ishutkin, V. S.
2 Jerome, Joseph W.
2 Lin, Qun
2 Marburg, Steffen
2 Motreanu, Dumitru
2 Pao, Chia-Ven
2 Pflaum, Christoph
2 Sadek, Ibrahim S.
2 Schönefeld, Klaus
2 Tian, Canrong
2 Wang, Hong
2 Zadlo, M.
1 Absil, Pierre-Antoine
1 Adak, Dibyendu
1 Adam, Stenly Ibrahim
1 Adams, Ernst Wilhelm
1 Agnelli, Juan Pablo
1 Al-Mutairi, Dhaifalla K.
1 Alarcón, Tomás
1 Babayan, Armenak O.
1 Barboteu, Mikaël
1 Barth, Andrea
1 Batty, Christopher
1 Baumann, Katharina
1 Betti, Matthew I.
1 Bieniasz, Lesław K.
1 Blum, Heribert
1 Böhmer, Klaus
1 Burkardt, John V.
1 Burman, Erik
1 Byrne, Helen Mary
1 Cancès, Eric
1 Carraro, Thomas
1 Cegielski, Andrzej
1 Chen, Hongtao
1 Dambrine, Marc
1 Danaila, Ionut
1 Delkhosh, Mehdi
1 Djehaf, Nacera
1 Dörfler, Willy
1 Ehrlacher, Virginie
1 Endtmayer, Bernhard
1 Franz, Sebastian
1 Friedrich, Volkmar
1 Gao, Yan
1 García-Toral, D.
1 Garralda Guillem, Ana Isabel
1 Garvie, Marcus R.
1 Göhlen, Michael
1 Grossman, Christian
1 Grossmann, Alex
1 Gugat, Martin
1 Günther, Andreas
1 Gupta, Vikas
1 Gwinner, Joachim
1 Hà Phi
1 Haasdonk, Bernard
1 Hamkar, Ahmad-Wahadj
1 Hartmann, Rainer
1 Hartmann, Ralf
1 Heikkilä, Seppo V.
1 Herty, Michael Matthias
1 Heubeck, Britta
1 Hintermüller, Michael
1 Hoffmann, Alex Christian
1 Huisinga, Wilhelm
1 Jahn, Johannes
1 Jangveladze, Temur A.
1 Jansen, Thijs
1 Kacur, Jozef
1 Kadalbajoo, Mohan K.
1 Kaltenbacher, Barbara
1 Kanschat, Guido
1 Kaplan, Aleksander A.
1 Kaufmann, Uriel
1 Kiguradze, Zurab V.
...and 98 more Authors
all top 5

Cited in 64 Serials

12 Journal of Computational and Applied Mathematics
10 Computing
9 Optimization
8 Applied Numerical Mathematics
7 Applied Mathematics and Computation
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerische Mathematik
4 Journal of Mathematical Analysis and Applications
4 Mathematical Methods in the Applied Sciences
3 Computers & Mathematics with Applications
3 Bulletin of Mathematical Biology
3 Numerical Methods for Partial Differential Equations
3 Applications of Mathematics
2 Journal of Computational Physics
2 Numerical Functional Analysis and Optimization
2 Acta Applicandae Mathematicae
2 Computational Optimization and Applications
2 Computational and Applied Mathematics
2 Mathematical Problems in Engineering
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Optimization and Engineering
2 Advances in Difference Equations
2 Journal of Computational Acoustics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Ukrainian Mathematical Journal
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Aplikace Matematiky
1 Applied Mathematics and Optimization
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Kybernetika
1 SIAM Journal on Numerical Analysis
1 OR Spektrum
1 Journal of Scientific Computing
1 Journal of Global Optimization
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Mathematical Programming. Series A. Series B
1 Journal of Dynamics and Differential Equations
1 Archive of Applied Mechanics
1 Cybernetics and Systems Analysis
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Abstract and Applied Analysis
1 Journal of Shanghai University
1 Nonlinear Analysis. Real World Applications
1 Journal of Systems Science and Complexity
1 Computational Methods in Applied Mathematics
1 Journal of Numerical Mathematics
1 Journal of Applied Mathematics and Computing
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Advances in Numerical Analysis
1 Set-Valued and Variational Analysis
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 ISRN Applied Mathematics

Citations by Year