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Anderson, Robert Leonard

Co-Author Distance
Author ID: anderson.robert-leonard Recent zbMATH articles by "Anderson, Robert Leonard"
Published as: Anderson, Robert L.; Anderson, R.; Anderson, Robert Leonard; Anderson, R. L.
Documents Indexed: 59 Publications since 1942, including 2 Books and 3 Additional arXiv Preprints
3 Further Contributions
Co-Authors: 6 Co-Authors with 7 Joint Publications
185 Co-Co-Authors
all top 5

Co-Authors

13 single-authored
7 Ibragimov, Nail Hairullovich
6 Winternitz, Pavel
5 Herman, Robert C.
5 Prigogine, Ilya
5 Raczka, Ryszard
4 Harnad, John
4 Taflin, Erik
3 Hebda, Piotr W.
3 Rideau, Guy
2 Choi, Youngsoo
2 Fokas, Athanassios S.
2 Gupta, Suraj N.
1 Adams, Malcolm R.
1 Allen, David M.
1 Anderson, Theodore Wilbur jun.
1 Arrighi, William J.
1 Baikov, V. A.
1 Balescu, Radu
1 Bancroft, T. A.
1 Bartlett, Maurice Stevenson
1 Barut, Asim Orhan
1 Battig, W. F.
1 Birnbaum, Zygmunt Wilhelm
1 Bose, Raj Chandra
1 Brown, Peter N.
1 Cady, Foster B.
1 Coombs, Deshawn
1 Cornelius, Paul L.
1 Davison, Suzanne M.
1 de Finetti, Bruno
1 Dunkin, J. W.
1 Estes, William Kaye
1 Finney, David J.
1 Fischer, Jan-Wilhelm
1 Gani, Joseph Mark
1 Gazizov, Rafail Kav’evich
1 Geldmacher, R. C.
1 Hereman, Willy A.
1 Hoeffding, Wassily
1 Huynh, Kevin
1 Kac, Mark
1 Lancaster, Henry Oliver
1 Lucacs, E.
1 Malomed, F. M.
1 Mandler, G.
1 Mayzner, M.
1 Meleshko, Sergey V.
1 Merner, Mark P.
1 Mihoc, Gheorghe
1 Murdock, Bennet B.
1 Nucci, Maria Clara
1 Olver, Peter John
1 Peterson, Donald
1 Pittman, E. J. G.
1 Posner, Morton J. M.
1 Repko, Wayne W.
1 Resibois, Pierre
1 Riley, Charles A.
1 Sheftel, Mikhail B.
1 Shen, Pao-Sheng
1 Shepard, Roger N.
1 Snyder, C. R.
1 Solso, Robert L.
1 Tippett, Leonard Henry Caleb
1 Trabasso, T. R.
1 Turbiner, Alexander
1 Turner, John Wm.
1 Varley, Robert
1 Vorob’ev, Evgenii M.
1 Watterson, G. A.
1 Wold, Herman Ole Andreas
1 Wolf, Kurt Bernardo
all top 5

Serials

9 Letters in Mathematical Physics
6 Journal of Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Bulletin de la Classe des Sciences. 5e Série
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 Nuclear Physics
2 Annals of Mathematical Statistics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Applied Mechanics
1 Journal of Computational Physics
1 The Australian Journal of Statistics
1 Biometrics
1 Canadian Journal of Mathematics
1 Operations Research
1 Soviet Mathematics. Doklady
1 Technometrics
1 Physica D
1 SIAM Journal on Scientific Computing
1 Lie Groups and their Applications
1 Bulletin de l’Institut International de Statistique
1 SIAM Studies in Applied Mathematics
all top 5

Fields

15 Partial differential equations (35-XX)
9 Ordinary differential equations (34-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Statistics (62-XX)
6 Global analysis, analysis on manifolds (58-XX)
4 Differential geometry (53-XX)
2 Nonassociative rings and algebras (17-XX)
2 Integral equations (45-XX)
2 Numerical analysis (65-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

41 Publications have been cited 45 times in 44 Documents Cited by ▼ Year ▼
CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003
206
1996
Lie-Bäcklund transformations in applications. Zbl 0447.58001
Anderson, Robert L.; Ibragimov, Nail H.
70
1979
On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. Zbl 0495.58016
Fokas, A. S.; Anderson, R. L.
69
1982
Superposition principles for matrix Riccati equations. Zbl 0556.34015
Harnad, J.; Winternitz, P.; Anderson, R. L.
40
1983
Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013
Anderson, R. L.; Harnad, J.; Winternitz, P.
34
1982
Statistical theory in research. Zbl 0049.09803
Anderson, R. L.; Bancroft, T. A.
34
1952
A nonlinear superposition principle admitted by coupled Riccati equations of the projective type. Zbl 0443.34023
Anderson, Robert L.
33
1980
Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. Zbl 07508450
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin
30
2021
SNS: a solution-based nonlinear subspace method for time-dependent model order reduction. Zbl 1442.37111
Choi, Youngsoo; Coombs, Deshawn; Anderson, Robert
24
2020
Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011
Anderson, R. L.; Harnad, J.; Winternitz, P.
22
1981
Lie-Bäcklund tangent transformations. Zbl 0355.35004
Ibragimov, Nail H.; Anderson, Robert L.
18
1977
Distribution of the serial correlation coefficient. Zbl 0060.30915
Anderson, Robert L.
18
1942
Clebsch-Gordan coefficients for the coupling of \(SL(2,C)\) principal- series representations. Zbl 0192.48502
Anderson, R. L.; Raczka, R.; Rashid, M. A.; Winternitz, P.
14
1970
Group theoretical nature of Bäcklund transformations. Zbl 0417.35006
Fokas, A. S.; Anderson, R. L.
10
1979
Recursion and symmetry relations for the Clebsch-Gordan coefficients of the homogeneous Lorentz group. Zbl 0192.48503
Anderson, R. L.; Raczka, R.; Rashid, M. A.; Winternitz, P.
10
1970
Limit point and limit circle criteria for a class of singular symmetric differential operators. Zbl 0353.34029
Anderson, Robert L.
9
1976
A generalization of Lie’s ’counting’ theorem for second-order ordinary differential equations. Zbl 0291.34007
Anderson, Robert L.; Davison, Suzanne M.
8
1974
Complete sets of functions on homogeneous spaces with compact stabilizers. Zbl 0203.44203
Anderson, Robert Leonard; Wolf, Kurt Bernardo
8
1970
Bianchi-Lie, Bäcklund, and Lie-Bäcklund transformations. Zbl 0424.53004
Anderson, R. L.; Ibragimov, Nail H.
7
1978
Distribution of the circular serial correlation coefficient for residuals from a fitted Fourier series. Zbl 0037.08803
Anderson, Robert L.; Anderson, T. W.
7
1950
Coupling problem for \(U(p,q)\) ladder representations. I. Zbl 0159.29103
Anderson, Robert L.; Fischer, Jan; Raczka, R.
7
1968
Bäcklund transformations and new solutions of nonlinear wave equations in four-dimensional space-time. Zbl 0424.35004
Anderson, R. L.; Barut, A. O.; Raczka, R.
6
1979
The making of statisticians. Zbl 0489.62002
6
1982
On a generalized Boltzmann-like approach for traffic flow. Zbl 0272.90026
Prigogine, I.; Resibois, P.; Herman, Robert; Anderson, Robert L.
5
1962
The Benjamin-Ono equation recursivity of linearization maps - Lax pairs. Zbl 0608.35064
Anderson, R. L.; Taflin, E.
5
1985
On the statistical distribution function theory of traffic flow. Zbl 0114.09403
Anderson, R. L.; Herman, R.; Prigogine, I.
5
1962
Designs and estimators for variance components. Zbl 0308.62065
Anderson, R. L.
4
1975
Groups of Lie-Bäcklund contact transformations. Zbl 0338.53025
Ibragimov, N. Kh.; Anderson, R. L.
4
1976
Recent developments in designs and estimators for variance components. Zbl 0505.62060
Anderson, R. L.
2
1981
Explicit nonsoliton solutions of the Benjamin-Ono equation. Zbl 0548.35104
Anderson, R. L.; Taflin, E.
2
1983
A comparison of three different procedures for estimating variance components. Zbl 0118.34202
Bush, N.; Anderson, R. L.
2
1963
Uses of variance component analysis in the interpretation of biological experiments. Zbl 0092.35903
Anderson, R. L.
2
1960
Superposition principles for nonlinear differential equations. Zbl 0485.34008
Anderson, R. L.; Harnad, J.; Winternitz, P.
1
1981
Planned unbalanced designs for estimation of quantitative genetic parameters. I: Two-way matings. Zbl 0875.62524
Shen, Pao-Sheng; Cornelius, P. L.; Anderson, R. L.
1
1996
Information processing and cognition. The Loyola symposium. Zbl 0327.68010
1
1975
Algorithm for global linearization and group theoretical equivalence of completely integrable 2\(n\)-dimensional dynamical systems defined on \(R^{2n}\). Zbl 0374.58007
Anderson, Robert L.; Peterson, Donald
1
1977
On individual and collective flow. Zbl 0272.90025
Prigogine, I.; Herman, Robert; Anderson, Robert L.
1
1962
Selection of predictor variables in linear multiple regresision. Zbl 0236.62020
Anderson, R. L.; Allen, D. M.; Cady, F. B.
1
1972
Coupling problem for \(U(p,q)\) ladder representations. II: Limitations on the coupling of \(U(p,q)\) ladders. Zbl 0159.29104
Anderson, Robert L.; Raczka, R.
1
1968
Statistical hydrodynamics of traffic flow. Zbl 0178.23004
Balescu, R.; Prigogine, I.; Herman, R.; Anderson, R.
1
1967
Theory of mesons, baryons and resonances. Zbl 0111.43601
Anderson, Robert L.; Gupta, Suraj N.
1
1963
Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. Zbl 07508450
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin
30
2021
SNS: a solution-based nonlinear subspace method for time-dependent model order reduction. Zbl 1442.37111
Choi, Youngsoo; Coombs, Deshawn; Anderson, Robert
24
2020
CRC handbook of Lie group analysis of differential equations. Vol. 3: New trends in theoretical development and computational methods. Incl. 1 disk. Zbl 0864.35003
206
1996
Planned unbalanced designs for estimation of quantitative genetic parameters. I: Two-way matings. Zbl 0875.62524
Shen, Pao-Sheng; Cornelius, P. L.; Anderson, R. L.
1
1996
The Benjamin-Ono equation recursivity of linearization maps - Lax pairs. Zbl 0608.35064
Anderson, R. L.; Taflin, E.
5
1985
Superposition principles for matrix Riccati equations. Zbl 0556.34015
Harnad, J.; Winternitz, P.; Anderson, R. L.
40
1983
Explicit nonsoliton solutions of the Benjamin-Ono equation. Zbl 0548.35104
Anderson, R. L.; Taflin, E.
2
1983
On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems. Zbl 0495.58016
Fokas, A. S.; Anderson, R. L.
69
1982
Systems of ordinary differential equations with nonlinear superposition principles. Zbl 1194.34013
Anderson, R. L.; Harnad, J.; Winternitz, P.
34
1982
The making of statisticians. Zbl 0489.62002
6
1982
Group theoretical approach to superposition rules for systems of Riccati equations. Zbl 0474.34011
Anderson, R. L.; Harnad, J.; Winternitz, P.
22
1981
Recent developments in designs and estimators for variance components. Zbl 0505.62060
Anderson, R. L.
2
1981
Superposition principles for nonlinear differential equations. Zbl 0485.34008
Anderson, R. L.; Harnad, J.; Winternitz, P.
1
1981
A nonlinear superposition principle admitted by coupled Riccati equations of the projective type. Zbl 0443.34023
Anderson, Robert L.
33
1980
Lie-Bäcklund transformations in applications. Zbl 0447.58001
Anderson, Robert L.; Ibragimov, Nail H.
70
1979
Group theoretical nature of Bäcklund transformations. Zbl 0417.35006
Fokas, A. S.; Anderson, R. L.
10
1979
Bäcklund transformations and new solutions of nonlinear wave equations in four-dimensional space-time. Zbl 0424.35004
Anderson, R. L.; Barut, A. O.; Raczka, R.
6
1979
Bianchi-Lie, Bäcklund, and Lie-Bäcklund transformations. Zbl 0424.53004
Anderson, R. L.; Ibragimov, Nail H.
7
1978
Lie-Bäcklund tangent transformations. Zbl 0355.35004
Ibragimov, Nail H.; Anderson, Robert L.
18
1977
Algorithm for global linearization and group theoretical equivalence of completely integrable 2\(n\)-dimensional dynamical systems defined on \(R^{2n}\). Zbl 0374.58007
Anderson, Robert L.; Peterson, Donald
1
1977
Limit point and limit circle criteria for a class of singular symmetric differential operators. Zbl 0353.34029
Anderson, Robert L.
9
1976
Groups of Lie-Bäcklund contact transformations. Zbl 0338.53025
Ibragimov, N. Kh.; Anderson, R. L.
4
1976
Designs and estimators for variance components. Zbl 0308.62065
Anderson, R. L.
4
1975
Information processing and cognition. The Loyola symposium. Zbl 0327.68010
1
1975
A generalization of Lie’s ’counting’ theorem for second-order ordinary differential equations. Zbl 0291.34007
Anderson, Robert L.; Davison, Suzanne M.
8
1974
Selection of predictor variables in linear multiple regresision. Zbl 0236.62020
Anderson, R. L.; Allen, D. M.; Cady, F. B.
1
1972
Clebsch-Gordan coefficients for the coupling of \(SL(2,C)\) principal- series representations. Zbl 0192.48502
Anderson, R. L.; Raczka, R.; Rashid, M. A.; Winternitz, P.
14
1970
Recursion and symmetry relations for the Clebsch-Gordan coefficients of the homogeneous Lorentz group. Zbl 0192.48503
Anderson, R. L.; Raczka, R.; Rashid, M. A.; Winternitz, P.
10
1970
Complete sets of functions on homogeneous spaces with compact stabilizers. Zbl 0203.44203
Anderson, Robert Leonard; Wolf, Kurt Bernardo
8
1970
Coupling problem for \(U(p,q)\) ladder representations. I. Zbl 0159.29103
Anderson, Robert L.; Fischer, Jan; Raczka, R.
7
1968
Coupling problem for \(U(p,q)\) ladder representations. II: Limitations on the coupling of \(U(p,q)\) ladders. Zbl 0159.29104
Anderson, Robert L.; Raczka, R.
1
1968
Statistical hydrodynamics of traffic flow. Zbl 0178.23004
Balescu, R.; Prigogine, I.; Herman, R.; Anderson, R.
1
1967
A comparison of three different procedures for estimating variance components. Zbl 0118.34202
Bush, N.; Anderson, R. L.
2
1963
Theory of mesons, baryons and resonances. Zbl 0111.43601
Anderson, Robert L.; Gupta, Suraj N.
1
1963
On a generalized Boltzmann-like approach for traffic flow. Zbl 0272.90026
Prigogine, I.; Resibois, P.; Herman, Robert; Anderson, Robert L.
5
1962
On the statistical distribution function theory of traffic flow. Zbl 0114.09403
Anderson, R. L.; Herman, R.; Prigogine, I.
5
1962
On individual and collective flow. Zbl 0272.90025
Prigogine, I.; Herman, Robert; Anderson, Robert L.
1
1962
Uses of variance component analysis in the interpretation of biological experiments. Zbl 0092.35903
Anderson, R. L.
2
1960
Statistical theory in research. Zbl 0049.09803
Anderson, R. L.; Bancroft, T. A.
34
1952
Distribution of the circular serial correlation coefficient for residuals from a fitted Fourier series. Zbl 0037.08803
Anderson, Robert L.; Anderson, T. W.
7
1950
Distribution of the serial correlation coefficient. Zbl 0060.30915
Anderson, Robert L.
18
1942
all cited Publications top 5 cited Publications
all top 5

Cited by 64 Authors

7 Wolf, Kurt Bernardo
3 Boyer, Charles P.
3 Jensen, Donald R.
2 Atakishiev, Natig M.
2 Bayer, Fábio Mariano
2 Kiselëv, A. B.
2 Nikitin, V. F.
2 Pogosyan, George S.
2 Ramirez, Donald E.
2 Smirnov, Nickolai N.
2 Yakhno, Alexander
1 Alberti, Enrico
1 Basmann, Robert L.
1 Belli, Gian Cesare
1 Bestard, Mickael
1 Birkes, David S.
1 Bisognin, Cleber
1 Chalmond, Bernard
1 Cho, Hsunjung
1 Cintra, Renato J.
1 Cribari-Neto, Francisco
1 De Micheli, Enrico
1 De Turck, Koen
1 Deutsch, Stuart Jay
1 Dezhbakhsh, Hashem
1 Drouiche, Karim
1 Dufour, Jean-Marie
1 Dutter, Rudolf
1 Fiems, Dieter
1 Forchini, Giovanni
1 Franck, Emmanuel
1 Frank, Alejandro
1 Gebhardt, D.
1 Gilmore, Robert
1 Goldsmith, Heather
1 Gustafson, Karl Edwin
1 Hutcheson, Kermit
1 Kokoreva, A. V.
1 Krstanovic, P. F.
1 Lampis, Maria
1 Lo, Shihching
1 Lyons, N. I.
1 Marques, Wilson jun.
1 Méndez, Alma R.
1 Morosi, Carlo
1 Navoret, Laurent
1 Nelson, Charles R.
1 Orsi, Renzo
1 Pfeifer, Phillip E.
1 Prabhu, Balakrishna J.
1 Prass, Taiane Schaedler
1 Privat, Yannick
1 Pumi, Guilherme
1 Singh, Vijay P.
1 Song, Wheyming Tina
1 Sopasakis, Alexandros
1 Thursby, Jerry G.
1 Valk, Marcio
1 Velasco, Rosa María
1 Viano, Giovanni Alberto
1 Wulff, Shaun S.
1 Yamada, Hiroshi
1 Yumashev, M. V.
1 Zackor, H.
all top 5

Cited in 25 Serials

7 Journal of Mathematical Physics
5 Journal of Statistical Computation and Simulation
3 Physica A
3 Journal of Econometrics
2 Prikladnaya Matematika i Mekhanika
2 Journal of Statistical Planning and Inference
2 Meccanica
2 Communications in Statistics. Simulation and Computation
1 Metrika
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Computing
1 Statistische Hefte. Neue Folge
1 Journal of Time Series Analysis
1 Revue de Statistique Appliquée
1 Mathematical and Computer Modelling
1 Journal of Integral Equations and Applications
1 Stochastic Hydrology and Hydraulics
1 International Journal of Adaptive Control and Signal Processing
1 Communications in Statistics. Theory and Methods
1 European Journal of Operational Research
1 Zeitschrift für Operations Research. Serie A: Theorie
1 Journal of Applied Mathematics and Decision Sciences
1 Unternehmensforschung
1 Journal of the Italian Statistical Society
1 Open Mathematics
all top 5

Cited in 23 Fields

21 Statistics (62-XX)
10 Operations research, mathematical programming (90-XX)
7 Topological groups, Lie groups (22-XX)
4 Partial differential equations (35-XX)
3 Probability theory and stochastic processes (60-XX)
3 Numerical analysis (65-XX)
3 Fluid mechanics (76-XX)
3 Quantum theory (81-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Operator theory (47-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Systems theory; control (93-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year