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Bulirsch, Roland Zdeněk

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Author ID: bulirsch.roland-zdenek Recent zbMATH articles by "Bulirsch, Roland Zdeněk"
Published as: Bulirsch, R.; Bulirsch, Roland; Bulirsch, Roland Zdeněk
External Links: MGP · Wikidata · GND
Documents Indexed: 53 Publications since 1962, including 19 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH

29 Publications have been cited 1,686 times in 1,450 Documents Cited by Year
Introduction to numerical analysis. Transl. by R. Bartels, W. Gautschi, and C. Witzgall. Zbl 0423.65002
Stoer, J.; Bulirsch, R.
397
1980
Introduction to numerical analysis. Translated from the German by R. Bartels, W. Gautschi and C. Witzgall. 2. ed. Zbl 0771.65002
Stoer, J.; Bulirsch, R.
378
1993
Introduction to numerical analysis. Transl. from the German by R. Bartels, W. Gautschi, and C. Witzgall. 3rd ed. Zbl 1004.65001
Stoer, J.; Bulirsch, R.
324
2002
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
127
1966
Direct and indirect methods for trajectory optimization. Zbl 0784.49023
von Stryk, O.; Bulirsch, R.
64
1992
Einführung in die Numerische Mathematik II. Unter Berücksichtigung von Vorlesungen von F. L. Bauer. Zbl 0257.65001
Stoer, J.; Bulirsch, R.
60
1973
Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus. Zbl 0123.32101
Bulirsch, Roland; Stoer, Josef
51
1964
Numerical calculation of elliptic integrals and elliptic functions. Zbl 0133.08702
Bulirsch, Roland
41
1965
Introduction to numerical analysis. Volume II. (Wstȩp do metod numerycznych. Tom drugi). Transl. from the German by Małgorzata Mikulska. Zbl 0553.65004
Stoer, J.; Bulirsch, R.
35
1980
Bemerkungen zur Romberg-Integration. Zbl 0118.12303
Bulirsch, R.
30
1964
Einführung in die numerische Mathematik II. Unter Berücksichtigung von Vorlesungen von F. L. Bauer. 2., neubearb. u. erw. Aufl. Zbl 0375.65001
Stoer, J.; Bulirsch, R.
24
1978
Abort landing in the presence of windshear as a minimax optimal control problem. II: Multiple shooting and homotopy. Zbl 0752.49017
Bulirsch, R.; Montrone, F.; Pesch, H. J.
23
1991
Abort landing in the presence of windshear as a minimax optimal control problem. I: Necessary conditions. Zbl 0726.49014
Bulirsch, R.; Montrone, F.; Pesch, H. J.
20
1991
Introduction to model based optimization of chemical processes on moving horizons. Zbl 0999.93017
Binder, Thomas; Blank, Luise; Bock, H. Georg; Bulirsch, Roland; Dahmen, Wolfgang; Diehl, Moritz; Kronseder, Thomas; Marquardt, Wolfgang; Schlöder, Johannes P.; von Stryk, Oskar
16
2001
Combining direct and indirect methods in optimal control: Range maximization of hang glider. Zbl 0808.65067
Bulirsch, R.; Nerz, E.; Pesch, H. J.; von Stryk, O.
15
1993
Numerical calculation of elliptic integrals and elliptic functions. III. Zbl 0181.17502
Bulirsch, R.
14
1969
Numerical calculation of elliptic integrals and elliptic functions.II. Zbl 0128.37204
Bulirsch, R.
13
1965
An extension of the Bartky-transformation to incomplete elliptic integrals of the third kind. Zbl 0175.46001
Bulirsch, R.
12
1969
Numerical quadrature by extrapolation. Zbl 0154.41302
Bulirsch, R.; Stoer, J.
10
1967
Numerische Mathematik II. Eine Einführung - unter Berücksichtigung von Vorlesungen von F. L. Bauer. 3., verb. Aufl. Zbl 0693.65001
Stoer, Josef; Bulirsch, Roland
8
1990
The maximum principle, Bellman’s equation, and Carathéodory’s work. Zbl 0798.49001
Pesch, H. J.; Bulirsch, R.
5
1994
Optimization and optimal control. Proceedings of a conference held at Oberwolfach, November 17-23, 1974. Zbl 0302.00012
Bulirsch, R. (ed.); Oettli, W. (ed.); Stoer, J. (ed.)
5
1975
Existenznachweis und Approximation von Eigenwerten und Eigenfunktionen mit Hilfe eines Differenzenverfahrens bei singulären Sturm- Liouvilleschen Randwertaufgaben. Zbl 0104.34701
Bulirsch, Roland
4
1962
Numerical mathematics 2. An introduction - under consideration of lectures by F. L. Bauer. 4., neu bearb. u. erweit. Aufl. Zbl 0967.65001
Stoer, Josef; Bulirsch, Roland
3
2000
Numerical mathematics 2. An introduction – under consideration of lectures by F. L. Bauer. 5th ed. Zbl 1070.65002
Stoer, Josef; Bulirsch, Roland
2
2005
Mathematical modelling and simulation of electrical circuits and semiconductor devices. Proceedings of a conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany, July 5-11, 1992. Zbl 0794.00028
Bank, R. E. (ed.); Bulirsch, R. (ed.); Gajewski, Herbert (ed.); Merten, K. (ed.)
2
1994
An optimal control approach to real-time vehicle guidance. Zbl 1039.49033
Bulirsch, Roland; Vögel, Martin; von Stryk, Oskar; Chucholowski, Cornelius; Wolter, Thieß-Magnus
1
2003
Wilhelm Martin Kutta (1867–1944). Zbl 1288.01034
Bulirsch, Roland; Breitner, Michael
1
1994
A multiple shooting approach for the numerical treatment of stellar structure and evolution. Zbl 0835.65139
Reiter, J.; Bulirsch, R.; Pfleiderer, J.
1
1994
Numerical mathematics 2. An introduction – under consideration of lectures by F. L. Bauer. 5th ed. Zbl 1070.65002
Stoer, Josef; Bulirsch, Roland
2
2005
An optimal control approach to real-time vehicle guidance. Zbl 1039.49033
Bulirsch, Roland; Vögel, Martin; von Stryk, Oskar; Chucholowski, Cornelius; Wolter, Thieß-Magnus
1
2003
Introduction to numerical analysis. Transl. from the German by R. Bartels, W. Gautschi, and C. Witzgall. 3rd ed. Zbl 1004.65001
Stoer, J.; Bulirsch, R.
324
2002
Introduction to model based optimization of chemical processes on moving horizons. Zbl 0999.93017
Binder, Thomas; Blank, Luise; Bock, H. Georg; Bulirsch, Roland; Dahmen, Wolfgang; Diehl, Moritz; Kronseder, Thomas; Marquardt, Wolfgang; Schlöder, Johannes P.; von Stryk, Oskar
16
2001
Numerical mathematics 2. An introduction - under consideration of lectures by F. L. Bauer. 4., neu bearb. u. erweit. Aufl. Zbl 0967.65001
Stoer, Josef; Bulirsch, Roland
3
2000
The maximum principle, Bellman’s equation, and Carathéodory’s work. Zbl 0798.49001
Pesch, H. J.; Bulirsch, R.
5
1994
Mathematical modelling and simulation of electrical circuits and semiconductor devices. Proceedings of a conference held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany, July 5-11, 1992. Zbl 0794.00028
Bank, R. E. (ed.); Bulirsch, R. (ed.); Gajewski, Herbert (ed.); Merten, K. (ed.)
2
1994
Wilhelm Martin Kutta (1867–1944). Zbl 1288.01034
Bulirsch, Roland; Breitner, Michael
1
1994
A multiple shooting approach for the numerical treatment of stellar structure and evolution. Zbl 0835.65139
Reiter, J.; Bulirsch, R.; Pfleiderer, J.
1
1994
Introduction to numerical analysis. Translated from the German by R. Bartels, W. Gautschi and C. Witzgall. 2. ed. Zbl 0771.65002
Stoer, J.; Bulirsch, R.
378
1993
Combining direct and indirect methods in optimal control: Range maximization of hang glider. Zbl 0808.65067
Bulirsch, R.; Nerz, E.; Pesch, H. J.; von Stryk, O.
15
1993
Direct and indirect methods for trajectory optimization. Zbl 0784.49023
von Stryk, O.; Bulirsch, R.
64
1992
Abort landing in the presence of windshear as a minimax optimal control problem. II: Multiple shooting and homotopy. Zbl 0752.49017
Bulirsch, R.; Montrone, F.; Pesch, H. J.
23
1991
Abort landing in the presence of windshear as a minimax optimal control problem. I: Necessary conditions. Zbl 0726.49014
Bulirsch, R.; Montrone, F.; Pesch, H. J.
20
1991
Numerische Mathematik II. Eine Einführung - unter Berücksichtigung von Vorlesungen von F. L. Bauer. 3., verb. Aufl. Zbl 0693.65001
Stoer, Josef; Bulirsch, Roland
8
1990
Introduction to numerical analysis. Transl. by R. Bartels, W. Gautschi, and C. Witzgall. Zbl 0423.65002
Stoer, J.; Bulirsch, R.
397
1980
Introduction to numerical analysis. Volume II. (Wstȩp do metod numerycznych. Tom drugi). Transl. from the German by Małgorzata Mikulska. Zbl 0553.65004
Stoer, J.; Bulirsch, R.
35
1980
Einführung in die numerische Mathematik II. Unter Berücksichtigung von Vorlesungen von F. L. Bauer. 2., neubearb. u. erw. Aufl. Zbl 0375.65001
Stoer, J.; Bulirsch, R.
24
1978
Optimization and optimal control. Proceedings of a conference held at Oberwolfach, November 17-23, 1974. Zbl 0302.00012
Bulirsch, R. (ed.); Oettli, W. (ed.); Stoer, J. (ed.)
5
1975
Einführung in die Numerische Mathematik II. Unter Berücksichtigung von Vorlesungen von F. L. Bauer. Zbl 0257.65001
Stoer, J.; Bulirsch, R.
60
1973
Numerical calculation of elliptic integrals and elliptic functions. III. Zbl 0181.17502
Bulirsch, R.
14
1969
An extension of the Bartky-transformation to incomplete elliptic integrals of the third kind. Zbl 0175.46001
Bulirsch, R.
12
1969
Numerical quadrature by extrapolation. Zbl 0154.41302
Bulirsch, R.; Stoer, J.
10
1967
Numerical treatment of ordinary differential equations by extrapolation methods. Zbl 0135.37901
Bulirsch, R.; Stoer, J.
127
1966
Numerical calculation of elliptic integrals and elliptic functions. Zbl 0133.08702
Bulirsch, Roland
41
1965
Numerical calculation of elliptic integrals and elliptic functions.II. Zbl 0128.37204
Bulirsch, R.
13
1965
Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus. Zbl 0123.32101
Bulirsch, Roland; Stoer, Josef
51
1964
Bemerkungen zur Romberg-Integration. Zbl 0118.12303
Bulirsch, R.
30
1964
Existenznachweis und Approximation von Eigenwerten und Eigenfunktionen mit Hilfe eines Differenzenverfahrens bei singulären Sturm- Liouvilleschen Randwertaufgaben. Zbl 0104.34701
Bulirsch, Roland
4
1962
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Cited by 2,336 Authors

20 Sidi, Avram
16 Dehghan Takht Fooladi, Mehdi
15 Fukushima, Toshio
14 Eslahchi, Mohammad Reza
14 Masjed-Jamei, Mohammad
11 Bulirsch, Roland Zdeněk
11 Pesch, Hans Josef
11 Ren, Hongmin
10 Gasull, Armengol
10 Liu, Chongyang
10 Rentrop, Peter
10 Teo, Kok Lay
10 Wu, Qingbiao
9 Babolian, Esmail
9 Jankowski, Tadeusz
9 Rokhlin, Vladimir
8 Grau-Sánchez, Miquel
8 Mikkola, Seppo
7 Amat, Sergio
7 Deuflhard, Peter
7 Oberle, Hans Joachim
7 Reichel, Lothar
7 Serra-Capizzano, Stefano
6 Bi, Weihong
6 Bini, Dario Andrea
6 Loxton, Ryan Christopher
6 Luceño, Alberto
6 Lyness, James N.
6 Obradović, Aleksandar
6 Šalinić, Slaviša
6 Seydel, Rüdiger U.
6 Tan, Jieqing
6 Zarebnia, Mohammad
5 Busquier, Sonia
5 Calvetti, Daniela
5 Díaz-Barrero, José Luis
5 Gong, Zhaohua
5 Jódar Sanchez, Lucas Antonio
5 Khojasteh Salkuyeh, Davod
5 Nievergelt, Yves
5 Olshevsky, Vadim
5 Parvaz, Reza
5 Pulch, Roland
5 Shamsi, Mostafa
5 Trélat, Emmanuel
5 von Stryk, Oskar
5 Wu, Xinyuan
5 Yang, Liu
4 Aarseth, Sverre Johannes
4 Allgower, Eugene L.
4 Argyros, Ioannis Konstantinos
4 Barone, Piero
4 Bertolazzi, Enrico
4 Bock, Hans Georg
4 Bonnans, Joseph Frédéric
4 Breitner, Michael Hans
4 Cots, Olivier
4 Da Silva Fernandes, Sandro
4 Demiralp, Metin
4 Deng, Zuicha
4 Ebadi, Moosa
4 Eidelman, Yuli
4 Ekstrom, Sven-Erik
4 Farouki, Rida T.
4 Gohberg, Israel
4 Gómez, Gerard
4 Guo, Bao-Zhu
4 Hashemiparast, S. M.
4 Hermant, Audrey
4 Kanzow, Christian
4 Khoo, Boo Cheong
4 Kiehl, Martin
4 Lang, Feng-Gong
4 Lin, Wen-Wei
4 Lory, Peter
4 Mañosa, Víctor
4 Mitrovic, Zoran
4 Navascués, María Antonia
4 Ojika, Takeo
4 Ordokhani, Yadollah
4 Pan, Victor Yakovlevich
4 Sager, Sebastian
4 Sebastián, María Victoria
4 Shampine, Lawrence Fred
4 Simeon, Bernd
4 Stetter, Hans J.
4 Stoer, Josef
4 Sugiura, Hiroshi
4 Walz, Guido
4 Xu, Xiaoping
4 Ypma, Tjalling J.
4 Yu, Jianning
3 Aguilar, Juan C.
3 Alefeld, Götz E.
3 Alt, Walter
3 Antes, Heinz
3 Armellin, Roberto
3 Biral, Francesco
3 Bonnard, Bernard
3 Brezinski, Claude
...and 2,236 more Authors
all top 5

Cited in 314 Serials

108 Journal of Computational and Applied Mathematics
89 Numerische Mathematik
83 Applied Mathematics and Computation
63 Journal of Computational Physics
56 Computers & Mathematics with Applications
44 Journal of Optimization Theory and Applications
43 Applied Numerical Mathematics
32 Linear Algebra and its Applications
32 Celestial Mechanics and Dynamical Astronomy
29 Computing
28 Mathematics of Computation
27 Numerical Algorithms
26 Computer Methods in Applied Mechanics and Engineering
20 International Journal of Computer Mathematics
14 Journal of Mathematical Analysis and Applications
14 BIT
14 Applied Mathematical Modelling
14 Celestial Mechanics
13 Applied Mathematics Letters
12 Computer Physics Communications
12 Automatica
12 Mathematical and Computer Modelling
12 Mathematical Problems in Engineering
11 Journal of Approximation Theory
11 Computational and Applied Mathematics
10 Journal of Scientific Computing
9 Calcolo
9 Numerical Functional Analysis and Optimization
9 Computer Aided Geometric Design
8 Journal of Engineering Mathematics
8 Computational Statistics and Data Analysis
8 Communications in Nonlinear Science and Numerical Simulation
7 Biological Cybernetics
7 Journal of Fluid Mechanics
7 Journal of Statistical Physics
7 Mathematical Biosciences
7 Chaos, Solitons and Fractals
7 SIAM Journal on Scientific Computing
7 Multibody System Dynamics
6 International Journal of Control
6 Journal of the Franklin Institute
6 Physics Letters. A
6 Bulletin of Mathematical Biology
6 Journal of Symbolic Computation
6 Computational Optimization and Applications
5 Aplikace Matematiky
5 Applied Mathematics and Optimization
5 Journal of Differential Equations
5 Mathematics and Computers in Simulation
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Theoretical Computer Science
5 Optimal Control Applications & Methods
5 Physica D
5 Optimization
5 Journal of Global Optimization
5 European Journal of Operational Research
5 Nonlinear Dynamics
5 Chaos
5 Journal of Applied Mathematics and Computing
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
4 Applicable Analysis
4 Systems & Control Letters
4 Journal of Complexity
4 Computational Mechanics
4 Japan Journal of Industrial and Applied Mathematics
4 Applications of Mathematics
4 Journal of Statistical Computation and Simulation
4 Mathematical Programming. Series A. Series B
4 Advances in Computational Mathematics
4 Applied Mathematical Finance
4 Engineering Analysis with Boundary Elements
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Optimization and Engineering
3 Acta Mechanica
3 Astrophysics and Space Science
3 International Journal of Engineering Science
3 International Journal of Mathematical Education in Science and Technology
3 International Journal of Solids and Structures
3 International Journal of Systems Science
3 Journal of Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Physics of Fluids, A
3 Results in Mathematics
3 SIAM Journal on Numerical Analysis
3 Operations Research Letters
3 Acta Applicandae Mathematicae
3 Journal of Economic Dynamics & Control
3 Annals of Operations Research
3 Journal of Nonlinear Science
3 Applied and Computational Harmonic Analysis
3 Journal of Mathematical Chemistry
3 Vietnam Journal of Mathematics
3 Abstract and Applied Analysis
3 European Journal of Mechanics. A. Solids
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics
3 Iranian Journal of Science and Technology. Transaction A: Science
3 International Journal of Wavelets, Multiresolution and Information Processing
...and 214 more Serials
all top 5

Cited in 54 Fields

859 Numerical analysis (65-XX)
212 Ordinary differential equations (34-XX)
164 Calculus of variations and optimal control; optimization (49-XX)
132 Approximations and expansions (41-XX)
123 Partial differential equations (35-XX)
109 Mechanics of particles and systems (70-XX)
96 Operations research, mathematical programming (90-XX)
93 Systems theory; control (93-XX)
84 Fluid mechanics (76-XX)
68 Biology and other natural sciences (92-XX)
61 Mechanics of deformable solids (74-XX)
51 Dynamical systems and ergodic theory (37-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
49 Statistics (62-XX)
44 Computer science (68-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
36 Special functions (33-XX)
34 Integral equations (45-XX)
34 Probability theory and stochastic processes (60-XX)
31 Statistical mechanics, structure of matter (82-XX)
29 Functions of a complex variable (30-XX)
29 Quantum theory (81-XX)
26 Real functions (26-XX)
22 Information and communication theory, circuits (94-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
18 Optics, electromagnetic theory (78-XX)
16 Operator theory (47-XX)
13 Number theory (11-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 History and biography (01-XX)
11 Sequences, series, summability (40-XX)
11 Geophysics (86-XX)
10 Field theory and polynomials (12-XX)
10 Astronomy and astrophysics (85-XX)
9 Combinatorics (05-XX)
9 Measure and integration (28-XX)
9 Integral transforms, operational calculus (44-XX)
8 Differential geometry (53-XX)
8 Relativity and gravitational theory (83-XX)
7 Algebraic geometry (14-XX)
6 Difference and functional equations (39-XX)
5 Potential theory (31-XX)
4 Functional analysis (46-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Convex and discrete geometry (52-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General and overarching topics; collections (00-XX)
2 Geometry (51-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Algebraic topology (55-XX)

Citations by Year

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