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## Allgower, Eugene L.

Compute Distance To:
 Author ID: allgower.eugene-l Published as: Allgower, Eugene L.; Allgower, E. L.; Allgower, Eugene; Allgower, E.
 Documents Indexed: 78 Publications since 1965, including 7 Books Reviewing Activity: 127 Reviews
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#### Co-Authors

 9 single-authored 29 Georg, Kurt 14 Böhmer, Klaus 6 Chien, Cheng-Sheng 5 Mei, Zhen 5 Miranda, Rick 4 McCormick, Steve Fahrney 3 Guenther, Ronald B. 3 Schmidt, Phillip H. 2 Cruceanu, Stefan-Gicu 2 Gnutzmann, Stefan 2 Sommese, Andrew John 2 Tavener, Simon J. 1 Ashwin, Peter 1 Aston, Philip J. 1 Bates, Daniel J. 1 Dangelmayr, Gerhard 1 Erdmann, Melissa 1 Fässler, Albert F. 1 Garbotz, Ulf 1 Glashoff, Klaus 1 Golubitsky, Martin A. 1 Hoy, Annegret 1 Janovský, Vladimír 1 Jeppson, M. M. 1 Kalik, Karl 1 Keller, C. L. 1 Oprea, Iuliana 1 Peitgen, Heinz-Otto 1 Potra, Florian-Alexandru 1 Prenter, Patricia M. 1 Pryor, Daniel V. 1 Quesenberry, N. A. 1 Rheinboldt, Werner C. 1 Tausch, Johannes 1 Wampler, Charles W. II 1 Widmann, Ralf
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#### Serials

 6 Computing 6 SIAM Journal on Numerical Analysis 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 2 Computers & Mathematics with Applications 2 Journal of Complexity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Utilitas Mathematica 1 Soochow Journal of Mathematics 1 Zbornik Radova. Prirodno-Matematichkog Fakulteta. Serija za Matematiku 1 SIAM Journal on Scientific and Statistical Computing 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 Aequationes Mathematicae 1 SIAM Review 1 Advances in Computational Mathematics 1 Advances in Geometry 1 Arbeitspapiere der GMD 1 Classics in Applied Mathematics 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Springer Series in Computational Mathematics
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#### Fields

 69 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 8 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 4 Algebraic topology (55-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 1,030 times in 836 Documents Cited by Year
Numerical continuation methods. An introduction. Zbl 0717.65030
Allgower, Eugene L.; Georg, Kurt
1990
Simplicial and continuation methods for approximating fixed points and solutions to systems of equations. Zbl 0432.65027
Allgower, Eugene; Georg, Kurt
1980
Introduction to numerical continuation methods. Reprint of the 1979 original. Zbl 1036.65047
Allgower, Eugene L.; Georg, Kurt
2003
Continuation and path following. Zbl 0792.65034
Allgower, Eugene L.; Georg, Kurt
1993
A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C.
1986
Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056
Allgower, E. L.; Chien, C.-S.
1986
An algorithm for piecewise-linear approximation of an implicitly defined manifold. Zbl 0567.65029
Allgower, Eugene L.; Schmidt, Phillip H.
1985
Predictor-corrector and simplicial methods for approximating fixed points and zero points of nonlinear mappings. Zbl 0541.65032
Allgower, E. L.; Georg, K.
1983
An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces. Zbl 0618.65006
Allgower, Eugene L.; Gnutzmann, Stefan
1987
Application of the mesh independence principle to mesh refinement strategies. Zbl 0634.65067
Allgower, E. L.; Böhmer, K.
1987
Conjugate gradient methods for continuation problems. Zbl 0753.65046
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F.
1991
Large sparse continuation problems. Zbl 0688.65035
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt
1989
Exploiting symmetry in boundary element methods. Zbl 0754.65089
Allgower, Eugene L.; Böhmer, Klaus; Georg, Kurt; Miranda, Rick
1992
Numerical exploitation of symmetric structures in BEM. Zbl 0948.65131
Allgower, E. L.; Georg, K.
1999
The method of resultants for computing real solutions of polynomial systems. Zbl 0756.65077
Allgower, Eugene L.; Georg, Kurt; Miranda, Rick
1992
Piecewise linear methods for nonlinear equations and optimization. Zbl 0970.65055
Allgower, Eugene L.; Georg, Kurt
2000
Resolving singular nonlinear equations. Zbl 0652.65046
Allgower, E. L.; Böhmer, K.
1988
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
2006
On the complexity of exclusion algorithms for optimization. Zbl 1005.68082
Allgower, Eugene; Erdmann, Melissa; Georg, Kurt
2002
A survey of homotopy methods for smooth mappings. Zbl 0461.65037
Allgower, E. L.
1981
Exact inverses of certain band matrices. Zbl 0255.65016
Allgower, E. L.
1973
A general view of minimally extended systems for simple bifurcation points. Zbl 0915.65042
Allgower, E. L.; Schwetlick, H.
1997
Computing volumes of polyhedra. Zbl 0589.65022
Allgower, Eugene L.; Schmidt, Phillip H.
1986
Newton’s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems. Zbl 0352.65048
Allgower, E. L.; McCormick, S. F.
1978
Numerical exploitation of equivariance. Zbl 0919.65018
Allgower, E. L.; Georg, K.; Miranda, R.; Tausch, J.
1998
A search routine for a Sperner simplex. Zbl 0225.55004
Allgower, E. L.; Keller, C. L.
1971
Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry. Zbl 0803.65103
Allgower, Eugene; Böhmer, Klaus; Mei, Zhen
1994
Computational solution of nonlinear systems of equations. Proceedings of the 1988 SIAM-AMS summer seminar, held July 18-29, 1988 at Colorado State University, Ft. Collins, Colorado (USA). Zbl 0688.00015
Allgower, Eugene L. (ed.); Georg, Kurt (ed.)
1990
Criteria for positive definiteness of some band matrices. Zbl 0207.15501
Allgower, E. L.
1970
The approximation of solutions of nonlinear elliptic boundary value problems having several solutions. Zbl 0268.65064
Allgower, E. L.; Jeppson, M. M.
1973
Volume integrals for boundary element methods. Zbl 0752.65016
Allgower, Eugene L.; Georg, Kurt; Widmann, Ralf
1991
Numerical exploitation of symmetry in integral equations. Zbl 0920.65086
Allgower, Eugene L.; Georg, Kurt
1998
Generation of triangulations by reflections. Zbl 0449.65035
Allgower, Eugene; Georg, Kurt
1979
Continuation-minimization methods for stability problems. Zbl 0796.65112
Allgower, E. L.; Chien, C.-S.
1993
Exploiting permutation symmetries with fixed points in linear equations. Zbl 0797.65018
Allgower, Eugene; Georg, Kurt; Miranda, Rick
1993
Application of numerical continuation to compute all solutions of semilinear elliptic equations. Zbl 1169.65105
Allgower, Eugene; Cruceanu, Stefan-Gicu; Tavener, Simon
2009
Estimates for piecewise linear approximations of implicitly defined manifolds. Zbl 0715.41016
Allgower, Eugene L.; Georg, Kurt
1989
Numerical solution of nonlinear equations. Proceedings of a Symposium, held at the University of Bremen, July 21-25, 1980. Zbl 0455.00021
Allgower, E. L. (ed.); Glashoff, K. (ed.); Peitgen, H.-O. (ed.)
1981
Simplicial pivoting for mesh generation of implicitly defined surfaces. Zbl 0742.65009
Allgower, E. L.; Gnutzmann, S.
1991
On a problem decomposition for semilinear nearly symmetric elliptic problems. Zbl 0756.65137
Allgower, Eugene; Böhmer, Klaus; Mei, Zhen
1991
Bifurcations of corank greater than two. Zbl 0796.65111
Allgower, E. L.; Chien, C.-S.; Lee, W.-C.
1993
Liapunov-Schmidt reduction for a bifurcation problem with periodic boundary conditions on a square domain. Zbl 0787.58043
Allgower, E.; Ashwin, P.; Böhmer, K.; Mei, Z.
1993
Application of a fixed point search algorithm to nonlinear boundary value problems having several solutions. Zbl 0424.90083
Allgower, E. L.
1977
Discrete correction methods for operator equations. Zbl 0461.65045
Allgower, E. L.; Böhmer, K.; McCormick, S.
1981
Relationships between deflation and global methods in the problem of approximating additional zeros of a system of nonlinear equations. Zbl 0508.65020
Allgower, E. L.; Georg, K.
1983
On a discretization of $$y''+\lambda y^k= 0$$. Zbl 0365.65055
Allgower, E. L.
1975
A general mesh independence principle for Newton’s method applied to second order boundary value problems. Zbl 0416.65058
Allgower, E. L.; McCormick, St. F.; Pryor, D. V.
1979
A functional analytic approach to the numerical solution of nonlinear elliptic equations. Zbl 0168.14701
Allgower, E.; Guenther, R.
1967
Direct methods for solving singular nonlinear equations. Zbl 0968.65030
Allgower, E. L.; Böhmer, K.; Hoy, A.; Janovský, V.
1999
Homotopy methods for approximating several solutions to nonlinear systems of equations. Zbl 0445.65034
Allgower, Eugene L.; Georg, Kurt
1980
An extended equivariant branching theory. Zbl 0764.47032
Allgower, Eugene L.; Böhmer, Klaus; Mei, Zhen
1992
Exploiting symmetry in applied and numerical analysis. Proceedings of the 22nd AMS-SIAM summer seminar in applied mathematics, Colorado State University, Fort Collins, CO, USA, July 26-August 1, 1992. Zbl 0782.00045
Allgower, Eugene L. (ed.); Georg, Kurt (ed.); Miranda, Rick (ed.)
1993
Symmetry reductions for the numerical solution of boundary value problems. Zbl 0856.65119
Allgower, Eugene L.; Aston, Philip J.
1996
Turning points and bifurcations for homotopies of analytic maps. Zbl 1181.65076
Allgower, Eugene; Cruceanu, Stefan-Gicu; Tavener, Simon J.
2009
Blockstructure and equivalence of matrices. Zbl 0964.65041
Allgower, Eugene L.; Fässler, Albert F.
1999
Numerically stable homotopy methods without an extra dimension. Zbl 0723.65032
Allgower, Eugene L.; Georg, Kurt
1990
Discrete defect corrections: basic ideas. Zbl 0532.65055
Allgower, E.; Böhmer, K.; McCormick, S.
1983
Piecewise linear approximation of solution manifolds for nonlinear systems of equations. Zbl 0542.65028
Allgower, Eugene L.; Schmidt, Phillip H.
1984
Bifurcations arising in the calculation of critical points via homotopy methods. Zbl 0543.65031
Allgower, Eugene L.
1984
Matrix free approach in the numerical analysis of bifurcations and instabilities. Zbl 1082.65136
Allgower, Eugene L.; Dangelmayr, Gerhard; Georg, Kurt; Oprea, Iuliana
2004
Piecewise linear approximation of smooth compact fibers. Zbl 1028.65054
Allgower, Eugene L.; Sommese, Andrew J.
2002
Triangulation by reflections with applications to approximation. Zbl 0404.65017
Allgower, Eugene; Georg, Kurt
1978
Application of numerical continuation to compute all solutions of semilinear elliptic equations. Zbl 1169.65105
Allgower, Eugene; Cruceanu, Stefan-Gicu; Tavener, Simon
2009
Turning points and bifurcations for homotopies of analytic maps. Zbl 1181.65076
Allgower, Eugene; Cruceanu, Stefan-Gicu; Tavener, Simon J.
2009
Solution of polynomial systems derived from differential equations. Zbl 1086.65075
Allgower, E. L.; Bates, D. J.; Sommese, A. J.; Wampler, C. W.
2006
Matrix free approach in the numerical analysis of bifurcations and instabilities. Zbl 1082.65136
Allgower, Eugene L.; Dangelmayr, Gerhard; Georg, Kurt; Oprea, Iuliana
2004
Introduction to numerical continuation methods. Reprint of the 1979 original. Zbl 1036.65047
Allgower, Eugene L.; Georg, Kurt
2003
On the complexity of exclusion algorithms for optimization. Zbl 1005.68082
Allgower, Eugene; Erdmann, Melissa; Georg, Kurt
2002
Piecewise linear approximation of smooth compact fibers. Zbl 1028.65054
Allgower, Eugene L.; Sommese, Andrew J.
2002
Piecewise linear methods for nonlinear equations and optimization. Zbl 0970.65055
Allgower, Eugene L.; Georg, Kurt
2000
Numerical exploitation of symmetric structures in BEM. Zbl 0948.65131
Allgower, E. L.; Georg, K.
1999
Direct methods for solving singular nonlinear equations. Zbl 0968.65030
Allgower, E. L.; Böhmer, K.; Hoy, A.; Janovský, V.
1999
Blockstructure and equivalence of matrices. Zbl 0964.65041
Allgower, Eugene L.; Fässler, Albert F.
1999
Numerical exploitation of equivariance. Zbl 0919.65018
Allgower, E. L.; Georg, K.; Miranda, R.; Tausch, J.
1998
Numerical exploitation of symmetry in integral equations. Zbl 0920.65086
Allgower, Eugene L.; Georg, Kurt
1998
A general view of minimally extended systems for simple bifurcation points. Zbl 0915.65042
Allgower, E. L.; Schwetlick, H.
1997
Symmetry reductions for the numerical solution of boundary value problems. Zbl 0856.65119
Allgower, Eugene L.; Aston, Philip J.
1996
Branch switching at a corank-4 bifurcation point of semi-linear elliptic problems with symmetry. Zbl 0803.65103
Allgower, Eugene; Böhmer, Klaus; Mei, Zhen
1994
Continuation and path following. Zbl 0792.65034
Allgower, Eugene L.; Georg, Kurt
1993
Continuation-minimization methods for stability problems. Zbl 0796.65112
Allgower, E. L.; Chien, C.-S.
1993
Exploiting permutation symmetries with fixed points in linear equations. Zbl 0797.65018
Allgower, Eugene; Georg, Kurt; Miranda, Rick
1993
Bifurcations of corank greater than two. Zbl 0796.65111
Allgower, E. L.; Chien, C.-S.; Lee, W.-C.
1993
Liapunov-Schmidt reduction for a bifurcation problem with periodic boundary conditions on a square domain. Zbl 0787.58043
Allgower, E.; Ashwin, P.; Böhmer, K.; Mei, Z.
1993
Exploiting symmetry in applied and numerical analysis. Proceedings of the 22nd AMS-SIAM summer seminar in applied mathematics, Colorado State University, Fort Collins, CO, USA, July 26-August 1, 1992. Zbl 0782.00045
Allgower, Eugene L.; Georg, Kurt; Miranda, Rick
1993
Exploiting symmetry in boundary element methods. Zbl 0754.65089
Allgower, Eugene L.; Böhmer, Klaus; Georg, Kurt; Miranda, Rick
1992
The method of resultants for computing real solutions of polynomial systems. Zbl 0756.65077
Allgower, Eugene L.; Georg, Kurt; Miranda, Rick
1992
An extended equivariant branching theory. Zbl 0764.47032
Allgower, Eugene L.; Böhmer, Klaus; Mei, Zhen
1992
Conjugate gradient methods for continuation problems. Zbl 0753.65046
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt; Wang, C.-F.
1991
Volume integrals for boundary element methods. Zbl 0752.65016
Allgower, Eugene L.; Georg, Kurt; Widmann, Ralf
1991
Simplicial pivoting for mesh generation of implicitly defined surfaces. Zbl 0742.65009
Allgower, E. L.; Gnutzmann, S.
1991
On a problem decomposition for semilinear nearly symmetric elliptic problems. Zbl 0756.65137
Allgower, Eugene; Böhmer, Klaus; Mei, Zhen
1991
Numerical continuation methods. An introduction. Zbl 0717.65030
Allgower, Eugene L.; Georg, Kurt
1990
Computational solution of nonlinear systems of equations. Proceedings of the 1988 SIAM-AMS summer seminar, held July 18-29, 1988 at Colorado State University, Ft. Collins, Colorado (USA). Zbl 0688.00015
Allgower, Eugene L.; Georg, Kurt
1990
Numerically stable homotopy methods without an extra dimension. Zbl 0723.65032
Allgower, Eugene L.; Georg, Kurt
1990
Large sparse continuation problems. Zbl 0688.65035
Allgower, Eugene L.; Chien, C.-S.; Georg, Kurt
1989
Estimates for piecewise linear approximations of implicitly defined manifolds. Zbl 0715.41016
Allgower, Eugene L.; Georg, Kurt
1989
Resolving singular nonlinear equations. Zbl 0652.65046
Allgower, E. L.; Böhmer, K.
1988
An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces. Zbl 0618.65006
Allgower, Eugene L.; Gnutzmann, Stefan
1987
Application of the mesh independence principle to mesh refinement strategies. Zbl 0634.65067
Allgower, E. L.; Böhmer, K.
1987
A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C.
1986
Continuation and local perturbation for multiple bifurcations. Zbl 0617.65056
Allgower, E. L.; Chien, C.-S.
1986
Computing volumes of polyhedra. Zbl 0589.65022
Allgower, Eugene L.; Schmidt, Phillip H.
1986
An algorithm for piecewise-linear approximation of an implicitly defined manifold. Zbl 0567.65029
Allgower, Eugene L.; Schmidt, Phillip H.
1985
Piecewise linear approximation of solution manifolds for nonlinear systems of equations. Zbl 0542.65028
Allgower, Eugene L.; Schmidt, Phillip H.
1984
Bifurcations arising in the calculation of critical points via homotopy methods. Zbl 0543.65031
Allgower, Eugene L.
1984
Predictor-corrector and simplicial methods for approximating fixed points and zero points of nonlinear mappings. Zbl 0541.65032
Allgower, E. L.; Georg, K.
1983
Relationships between deflation and global methods in the problem of approximating additional zeros of a system of nonlinear equations. Zbl 0508.65020
Allgower, E. L.; Georg, K.
1983
Discrete defect corrections: basic ideas. Zbl 0532.65055
Allgower, E.; Böhmer, K.; McCormick, S.
1983
A survey of homotopy methods for smooth mappings. Zbl 0461.65037
Allgower, E. L.
1981
Numerical solution of nonlinear equations. Proceedings of a Symposium, held at the University of Bremen, July 21-25, 1980. Zbl 0455.00021
Allgower, E. L.; Glashoff, K.; Peitgen, H.-O.
1981
Discrete correction methods for operator equations. Zbl 0461.65045
Allgower, E. L.; Böhmer, K.; McCormick, S.
1981
Simplicial and continuation methods for approximating fixed points and solutions to systems of equations. Zbl 0432.65027
Allgower, Eugene; Georg, Kurt
1980
Homotopy methods for approximating several solutions to nonlinear systems of equations. Zbl 0445.65034
Allgower, Eugene L.; Georg, Kurt
1980
Generation of triangulations by reflections. Zbl 0449.65035
Allgower, Eugene; Georg, Kurt
1979
A general mesh independence principle for Newton’s method applied to second order boundary value problems. Zbl 0416.65058
Allgower, E. L.; McCormick, St. F.; Pryor, D. V.
1979
Newton’s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems. Zbl 0352.65048
Allgower, E. L.; McCormick, S. F.
1978
Triangulation by reflections with applications to approximation. Zbl 0404.65017
Allgower, Eugene; Georg, Kurt
1978
Application of a fixed point search algorithm to nonlinear boundary value problems having several solutions. Zbl 0424.90083
Allgower, E. L.
1977
On a discretization of $$y''+\lambda y^k= 0$$. Zbl 0365.65055
Allgower, E. L.
1975
Exact inverses of certain band matrices. Zbl 0255.65016
Allgower, E. L.
1973
The approximation of solutions of nonlinear elliptic boundary value problems having several solutions. Zbl 0268.65064
Allgower, E. L.; Jeppson, M. M.
1973
A search routine for a Sperner simplex. Zbl 0225.55004
Allgower, E. L.; Keller, C. L.
1971
Criteria for positive definiteness of some band matrices. Zbl 0207.15501
Allgower, E. L.
1970
A functional analytic approach to the numerical solution of nonlinear elliptic equations. Zbl 0168.14701
Allgower, E.; Guenther, R.
1967
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#### Cited by 1,106 Authors

 26 Chien, Cheng-Sheng 19 Yu, Bo 15 Allgower, Eugene L. 15 Syam, Muhammed I. 12 Dang, Chuangyin 11 Fan, Xiaona 10 Su, Menglong 9 Kelley, Carl T. 9 Lin, Zhenghua 9 Sommese, Andrew John 9 Verschelde, Jan 9 Watson, Layne Terry 8 Böhmer, Klaus 8 Jeng, B.-W. 8 Todd, Michael J. 7 Argyros, Ioannis Konstantinos 7 Bonnard, Bernard 7 Chang, Shing-Lin 7 Georg, Kurt 7 Li, Tien-Yien 7 Mei, Zhen 7 Morgan, Alexander P. 7 Van der Laan, Gerard 7 Xu, Qing 7 Yamamura, Kiyotaka 7 Zhu, Zhichuan 6 Cots, Olivier 6 Kojima, Masakazu 6 Wu, Tzong-Mou 6 Yamamoto, Yoshitsugu 5 Brown, David A. 5 Domokos, Gábor 5 Dratman, Ezequiel 5 Eriksson, Anders B. 5 Fukushima, Masao 5 Govaerts, Willy J. F. 5 Hauenstein, Jonathan D. 5 Kozak, Jernej 5 Kuznetsov, E. B. 5 Li, Yong 5 Makarov, Volodymyr Leonidovych 5 Matera, Guillermo 5 Schwetlick, Hubert 5 Yang, Li 5 Yang, Zaifu 5 Zingg, David W. 4 Bates, Daniel J. 4 Chu, Moody T. 4 DeLillo, Thomas K. 4 Feichtinger, Gustav 4 Feng, Guochen 4 Han, Lixing 4 Hao, Wenrui 4 Krasnikov, Sergey D. 4 Li, Zi-Cai 4 Moret, Igor 4 Muradova, Aliki D. 4 Shang, Yufeng 4 Siyyam, Hani I. 4 Stavroulakis, Georgios E. 4 Talman, Dolf 4 Trélat, Emmanuel 4 Vega, José Manuel 4 Wampler, Charles W. II 4 Yakoubsohn, Jean-Claude 4 Yan, Qinglun 4 Zhou, Jianxin 4 Zhu, Daoli 3 Åhlander, Krister 3 Aimi, Alessandra 3 Attili, Basem S. 3 Bello Cruz, Jose Yunier 3 Beyn, Wolf-Jürgen 3 Boyd, John Philip 3 Breda, Dimitri 3 Calvetti, Daniela 3 Caulkins, Jonathan P. 3 Chen, Xiaojun 3 Chern, I-Liang 3 Chitour, Yacine 3 Chyba, Monique 3 Cochelin, Bruno 3 Cromme, Ludwig J. 3 Dedieu, Jean-Pierre 3 Dellnitz, Michael 3 Diligenti, Mauro 3 Elcrat, Alan R. 3 Farouki, Rida T. 3 Gao, Furong 3 Getto, Philipp 3 Grass, Dieter 3 Grossmann, Christian 3 Gupta, Dharmendra Kumar 3 Jaklič, Gašper 3 Kalaba, Robert E. 3 Krajnc, Marjeta 3 Li, Zhaoxiang 3 Liu, Qinghuai 3 Lovison, Alberto 3 Lu, Xiguan ...and 1,006 more Authors
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#### Cited in 207 Serials

 70 Journal of Computational and Applied Mathematics 51 Applied Mathematics and Computation 24 Computing 22 Journal of Optimization Theory and Applications 20 Mathematical Programming 20 Numerische Mathematik 18 Computers & Mathematics with Applications 18 Journal of Computational Physics 18 Mathematical Programming. Series A. Series B 16 Computer Methods in Applied Mechanics and Engineering 15 Journal of Complexity 13 Mathematics of Computation 13 Numerical Algorithms 13 Linear Algebra and its Applications 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Optimization 10 Applied Numerical Mathematics 10 Journal of Scientific Computing 10 Optimization Methods & Software 9 Journal of Mathematical Analysis and Applications 9 Journal of Global Optimization 9 International Journal of Computer Mathematics 9 Computational Optimization and Applications 9 SIAM Journal on Scientific Computing 7 Chaos, Solitons and Fractals 7 BIT 7 Computer Aided Geometric Design 7 Physica D 7 Journal of Symbolic Computation 7 Journal of Integral Equations and Applications 7 Communications in Nonlinear Science and Numerical Simulation 7 Foundations of Computational Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Journal of Fluid Mechanics 6 Numerical Functional Analysis and Optimization 6 Theoretical Computer Science 6 Annals of Operations Research 6 Celestial Mechanics and Dynamical Astronomy 5 Computer Physics Communications 5 International Journal for Numerical Methods in Engineering 5 Journal of Nonlinear Science 5 Advances in Computational Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 International Journal of Control 4 Journal of the Franklin Institute 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Bulletin of Mathematical Biology 4 Systems & Control Letters 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Journal of Economic Dynamics & Control 4 Applied Mathematics Letters 4 European Journal of Operational Research 4 Mathematical Problems in Engineering 4 Nonlinear Dynamics 4 Nonlinear Analysis. Real World Applications 4 Computational Methods and Function Theory 4 Journal of Applied Mathematics and Computing 4 SIAM Journal on Applied Dynamical Systems 3 Journal of the Mechanics and Physics of Solids 3 Automatica 3 Mathematics and Computers in Simulation 3 Discrete & Computational Geometry 3 Mathematical and Computer Modelling 3 Machine Learning 3 Applications of Mathematics 3 Computational Mathematics and Mathematical Physics 3 Computational and Applied Mathematics 3 European Journal of Mechanics. B. Fluids 3 Acta Numerica 3 Journal of Industrial and Management Optimization 2 Mathematical Biosciences 2 ACM Transactions on Mathematical Software 2 Journal of Mathematical Economics 2 Mathematische Zeitschrift 2 Meccanica 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Algebraic and Discrete Methods 2 Operations Research Letters 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 Asia-Pacific Journal of Operational Research 2 SIAM Journal on Matrix Analysis and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Pattern Recognition 2 Computational Statistics and Data Analysis 2 Chinese Science Bulletin 2 Experimental Mathematics 2 Numerical Linear Algebra with Applications 2 Economic Theory 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 European Journal of Control 2 Journal of Inequalities and Applications 2 European Journal of Mechanics. A. Solids 2 Journal of High Energy Physics ...and 107 more Serials
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#### Cited in 51 Fields

 551 Numerical analysis (65-XX) 159 Operations research, mathematical programming (90-XX) 86 Partial differential equations (35-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 71 Ordinary differential equations (34-XX) 54 Dynamical systems and ergodic theory (37-XX) 51 Operator theory (47-XX) 51 Mechanics of deformable solids (74-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 41 Fluid mechanics (76-XX) 39 Mechanics of particles and systems (70-XX) 35 Computer science (68-XX) 35 Systems theory; control (93-XX) 31 Biology and other natural sciences (92-XX) 20 Real functions (26-XX) 19 Field theory and polynomials (12-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Algebraic topology (55-XX) 18 Algebraic geometry (14-XX) 17 Approximations and expansions (41-XX) 16 General topology (54-XX) 15 Functions of a complex variable (30-XX) 15 Statistical mechanics, structure of matter (82-XX) 13 Quantum theory (81-XX) 12 Integral equations (45-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Commutative algebra (13-XX) 7 Differential geometry (53-XX) 7 Manifolds and cell complexes (57-XX) 7 Statistics (62-XX) 6 Optics, electromagnetic theory (78-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Probability theory and stochastic processes (60-XX) 4 Difference and functional equations (39-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)