Schwarz, Fritz

Compute Distance To:
 Author ID: schwarz.fritz Published as: Schwarz, Fritz; Schwarz, F.
 Documents Indexed: 59 Publications since 1971, including 2 Books Co-Authors: 3 Co-Authors with 10 Joint Publications 141 Co-Co-Authors
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Co-Authors

 41 single-authored 7 Grigor’ev, Dmitriĭ Yur’evich 3 Li, Ziming 2 Alderton, Ian W. 2 Steeb, Willi-Hans 2 Tsarev, Sergej Petrovich 1 Adámek, Jiří 1 Colebunders, Eva 1 Herrlich, Horst 1 Kölbig, Kurt Siegfried 1 Louw, J. A.
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Serials

 10 Computing 5 Journal of Physics A: Mathematical and General 3 Journal of Symbolic Computation 2 Journal of Mathematical Physics 2 SIGSAM Bulletin 2 Advances in Applied Mathematics 2 Bulletin of Mathematical Sciences 1 Houston Journal of Mathematics 1 Letters in Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Studies in Applied Mathematics 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Questions and Answers in General Topology 1 Physica D 1 SIAM Review 1 Journal of Partial Differential Equations 1 Journal of Lie Theory 1 Pure and Applied Mathematics (Boca Raton) 1 ACM Communications in Computer Algebra 1 Texts & Monographs in Symbolic Computation
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Fields

 26 Computer science (68-XX) 22 Partial differential equations (35-XX) 21 Ordinary differential equations (34-XX) 12 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 6 Topological groups, Lie groups (22-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Category theory; homological algebra (18-XX) 4 General topology (54-XX) 3 Commutative algebra (13-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX)

Citations contained in zbMATH Open

42 Publications have been cited 273 times in 161 Documents Cited by Year
Symmetries of differential equations: From Sophus Lie to computer algebra. Zbl 0664.35004
Schwarz, Fritz
1988
Automatically determining symmetries of partial differential equations. Zbl 0555.65076
Schwarz, F.
1985
An algorithm for determining the size of symmetry groups. Zbl 0759.68042
Schwarz, Fritz
1992
Algorithmic Lie theory for solving ordinary differential equations. Zbl 1139.34003
Schwarz, Fritz
2008
Improving Top: PrTop and PsTop. Zbl 0753.18003
Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F.
1991
Factoring and solving linear partial differential equations. Zbl 1052.35008
Grigoriev, D.; Schwarz, F.
2004
Unitary irreducible representations of the groups $$S0_ 0(n,1)$$. Zbl 0209.33402
Schwarz, F.
1971
Reduction and completion algorithms for partial differential equations. Zbl 0978.65515
Schwarz, Fritz
1992
Symmetries of the Khokhlov-Zabolotskaya equation. Zbl 0663.35087
Schwarz, F.
1987
Janet bases for symmetry groups. Zbl 1024.34027
Schwarz, Fritz
1998
Equivalence classes, symmetries and solutions of linear third-order differential equations. Zbl 1025.34005
Schwarz, F.
2002
Loewy and primary decompositions of $$\mathcal D$$-modules. Zbl 1126.35008
Grigoriev, D.; Schwarz, F.
2007
Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002
Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P.
2003
An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations. Zbl 0585.65051
Schwarz, Fritz
1985
Generalized Loewy-decomposition of $$D$$-modules. Zbl 1360.13061
Grigoriev, Dima; Schwarz, Fritz
2005
Painlevé analysis, Yoshida’s theorems and direct methods in the search for integrable Hamiltonians. Zbl 0625.70011
Roekaerts, D.; Schwarz, F.
1987
Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682
Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P.
2002
The Riquier-Janet theory and its application to nonlinear evolution equations. Zbl 0588.58032
Schwarz, Fritz
1984
Loewy decomposition of linear differential equations. Zbl 1272.35001
Schwarz, Fritz
2013
Asymptotic expansions of Fourier integrals with light cone singularities. Zbl 0244.42032
Schwarz, Fritz
1972
Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007
Li, Ziming; Schwarz, Fritz
2001
Symmetry analysis of Abel’s equation. Zbl 1020.34001
Schwarz, Fritz
1998
On universally topological hulls and quasitopos hulls. Zbl 0749.18003
Adámek, J.; Reiterman, J.; Schwarz, F.
1991
Loewy decomposition of linear differential equations. Zbl 1261.35002
Schwarz, Fritz
2012
Symmetries and involution systems: Some experiments in computer algebra. Zbl 0736.35122
Schwarz, Fritz
1987
Symmetries and first integrals for dissipative systems. Zbl 0561.34007
Schwarz, F.; Steeb, W.-H.
1984
Solving second order ordinary differential equations with maximal symmetry group. Zbl 0934.34001
Schwarz, F.
1999
Addendum to: Automatically determining symmetries of partial differential equations. Zbl 0595.65127
Schwarz, F.
1986
Symmetries of $$SU(2)$$ invariant Yang-Mills theories. Zbl 0524.35090
Schwarz, Fritz
1982
ALLTYPES: An algebraic language and type system. Zbl 1057.68151
Schwarz, Fritz
2002
Janet bases of 2nd order ordinary differential equations. Zbl 0990.37502
Schwarz, Fritz
1996
Decomposition of ordinary differential equations. Zbl 1388.34003
Schwarz, Fritz
2017
The extensional topological hull of the category of Cauchy spaces. Zbl 0812.54016
Alderton, I. W.; Schwarz, F.
1993
Cartesian closed extensions of the category of uniform spaces. Zbl 0855.54039
Alderton, I. W.; Schwarz, F.
1994
First integrals and Yoshida analysis of Nahm’s equations. Zbl 0616.58043
Louw, J. A.; Schwarz, F.; Steeb, W. H.
1986
Canonical form transformation of second order differential equations with Lie symmetries. Zbl 0958.34004
Schwarz, Fritz
2000
Efficient factorization of linear ODE’s. Zbl 1097.65540
Schwarz, Fritz
1994
Computer algebra software for scientific applications. Zbl 0837.68050
Schwarz, F.
1994
Automatically determining symmetries of ordinary differential equations. Zbl 0535.65062
Schwarz, Fritz
1983
Contact symmetries of the harmonic oscillator. Zbl 0511.22017
Schwarz, Fritz
1983
On third order ordinary differential equations with maximal symmetry group. Zbl 0858.34007
Schwarz, F.
1996
Algorithmic solution of Abel’s equation. Zbl 0906.34002
Schwarz, F.
1998
Decomposition of ordinary differential equations. Zbl 1388.34003
Schwarz, Fritz
2017
Loewy decomposition of linear differential equations. Zbl 1272.35001
Schwarz, Fritz
2013
Loewy decomposition of linear differential equations. Zbl 1261.35002
Schwarz, Fritz
2012
Algorithmic Lie theory for solving ordinary differential equations. Zbl 1139.34003
Schwarz, Fritz
2008
Loewy and primary decompositions of $$\mathcal D$$-modules. Zbl 1126.35008
Grigoriev, D.; Schwarz, F.
2007
Generalized Loewy-decomposition of $$D$$-modules. Zbl 1360.13061
Grigoriev, Dima; Schwarz, Fritz
2005
Factoring and solving linear partial differential equations. Zbl 1052.35008
Grigoriev, D.; Schwarz, F.
2004
Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002
Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P.
2003
Equivalence classes, symmetries and solutions of linear third-order differential equations. Zbl 1025.34005
Schwarz, F.
2002
Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682
Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P.
2002
ALLTYPES: An algebraic language and type system. Zbl 1057.68151
Schwarz, Fritz
2002
Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007
Li, Ziming; Schwarz, Fritz
2001
Canonical form transformation of second order differential equations with Lie symmetries. Zbl 0958.34004
Schwarz, Fritz
2000
Solving second order ordinary differential equations with maximal symmetry group. Zbl 0934.34001
Schwarz, F.
1999
Janet bases for symmetry groups. Zbl 1024.34027
Schwarz, Fritz
1998
Symmetry analysis of Abel’s equation. Zbl 1020.34001
Schwarz, Fritz
1998
Algorithmic solution of Abel’s equation. Zbl 0906.34002
Schwarz, F.
1998
Janet bases of 2nd order ordinary differential equations. Zbl 0990.37502
Schwarz, Fritz
1996
On third order ordinary differential equations with maximal symmetry group. Zbl 0858.34007
Schwarz, F.
1996
Cartesian closed extensions of the category of uniform spaces. Zbl 0855.54039
Alderton, I. W.; Schwarz, F.
1994
Efficient factorization of linear ODE’s. Zbl 1097.65540
Schwarz, Fritz
1994
Computer algebra software for scientific applications. Zbl 0837.68050
Schwarz, F.
1994
The extensional topological hull of the category of Cauchy spaces. Zbl 0812.54016
Alderton, I. W.; Schwarz, F.
1993
An algorithm for determining the size of symmetry groups. Zbl 0759.68042
Schwarz, Fritz
1992
Reduction and completion algorithms for partial differential equations. Zbl 0978.65515
Schwarz, Fritz
1992
Improving Top: PrTop and PsTop. Zbl 0753.18003
Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F.
1991
On universally topological hulls and quasitopos hulls. Zbl 0749.18003
Adámek, J.; Reiterman, J.; Schwarz, F.
1991
Symmetries of differential equations: From Sophus Lie to computer algebra. Zbl 0664.35004
Schwarz, Fritz
1988
Symmetries of the Khokhlov-Zabolotskaya equation. Zbl 0663.35087
Schwarz, F.
1987
Painlevé analysis, Yoshida’s theorems and direct methods in the search for integrable Hamiltonians. Zbl 0625.70011
Roekaerts, D.; Schwarz, F.
1987
Symmetries and involution systems: Some experiments in computer algebra. Zbl 0736.35122
Schwarz, Fritz
1987
Addendum to: Automatically determining symmetries of partial differential equations. Zbl 0595.65127
Schwarz, F.
1986
First integrals and Yoshida analysis of Nahm’s equations. Zbl 0616.58043
Louw, J. A.; Schwarz, F.; Steeb, W. H.
1986
Automatically determining symmetries of partial differential equations. Zbl 0555.65076
Schwarz, F.
1985
An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations. Zbl 0585.65051
Schwarz, Fritz
1985
The Riquier-Janet theory and its application to nonlinear evolution equations. Zbl 0588.58032
Schwarz, Fritz
1984
Symmetries and first integrals for dissipative systems. Zbl 0561.34007
Schwarz, F.; Steeb, W.-H.
1984
Automatically determining symmetries of ordinary differential equations. Zbl 0535.65062
Schwarz, Fritz
1983
Contact symmetries of the harmonic oscillator. Zbl 0511.22017
Schwarz, Fritz
1983
Symmetries of $$SU(2)$$ invariant Yang-Mills theories. Zbl 0524.35090
Schwarz, Fritz
1982
Asymptotic expansions of Fourier integrals with light cone singularities. Zbl 0244.42032
Schwarz, Fritz
1972
Unitary irreducible representations of the groups $$S0_ 0(n,1)$$. Zbl 0209.33402
Schwarz, F.
1971
all top 5

Cited by 201 Authors

 11 Schwarz, Fritz 8 Clarkson, Peter A. 6 Ndogmo, Jean-Claude 6 Winternitz, Pavel 5 Bluman, George W. 5 Sinkala, Winter 4 Gao, Xiaoshan 4 Reid, Gregory John 3 Chaolu, Temuer 3 Figueiredo, Annibal 3 Gerdt, Vladimir Petrovich 3 Heinle, Albert 3 Levandovskyy, Viktor 3 Li, Ziming 3 Maekawa, Takayoshi 3 Mahomed, Fazal M. 3 Regensburger, Georg 3 Rocha Filho, Tarcísio M. 3 Rosenkranz, Markus 3 Shemyakova, Ekaterina 2 Al-Dweik, Ahmad Y. 2 Azad, Hassan 2 Brenig, Léon 2 Carminati, John 2 Carra’Ferro, Giuseppa 2 Chen, Yufu 2 Draisma, Jan 2 Feng, Ruyong 2 Fushchych, Vil’gel’m Illich 2 Goard, Joanna M. 2 Grigor’ev, Dmitriĭ Yur’evich 2 Hood, Simon 2 Huang, S.-L. Tracy 2 Iohara, Kenji 2 Kruskal, Martin David 2 Leach, Peter Gavin Lawrence 2 Levi, Decio 2 Lisle, Ian G. 2 Llibre, Jaume 2 Malbos, Philippe 2 Singer, Michael F. 2 Winkler, Franz 2 Wittkopf, Allan D. 2 Wong, M. K. F. 1 Abd-el-Malek, Mina B. 1 Alberti, Maria Alberta 1 Algaba, Antonio 1 Ali, Sajid 1 Anco, Stephen C. 1 Anderssen, Robert Scott 1 Aziz, Taha 1 Bakkaloglu, Ahmet 1 Basile, Thomas 1 Bekaert, Xavier 1 Bell, Jason P. 1 Bilige, Sudao 1 Blinkov, Yuri A. 1 Boulanger, Nicolas 1 Boulton, Alan 1 Boyer, Charles P. 1 Broadbridge, Philip 1 Buchberger, Bruno 1 Bytev, Vladimir V. 1 Campoamor-Stursberg, Rutwig 1 Cassidy, Phyllis Joan 1 Caviness, Bob F. 1 Ceria, Michela 1 Chaisi, M. 1 Chen, Shaoshi 1 Chistov, Alexandre L. 1 Cluzeau, Thomas 1 Dahl, Matias F. 1 Devitt, John S. 1 Doran-Wu, Patrick 1 Drew, Mark S. 1 Edwards, Maureen P. 1 El-Mansi, Samy M. A. 1 Fatima, Aeeman 1 Fee, Greg J. 1 Feng, Shuang 1 Fernández-Sánchez, Fernando 1 Fröhler, Stefan 1 Ganzha, Elena I. 1 Gazeau, Jean-Pierre 1 Gegenberg, Jack D. 1 Gerdzhikov, Vladimir Stefanov 1 Giesbrecht, Mark W. 1 Goriely, Alain 1 Gragert, Peter K. H. 1 Grammaticos, Basil 1 Grasegger, Georg 1 Hangos, Katalin Mária 1 Hartley, David H. 1 He, Meiling 1 Head, A. K. 1 Hereman, Willy A. 1 Holvorcem, Paulo R. 1 Izumiya, Shyuichi 1 Jiang, Yang 1 Jing, Pang ...and 101 more Authors
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Cited in 69 Serials

 25 Journal of Mathematical Physics 16 Journal of Symbolic Computation 8 Mathematical and Computer Modelling 7 Journal of Mathematical Analysis and Applications 6 Computing 6 European Journal of Applied Mathematics 4 Computer Physics Communications 4 Acta Applicandae Mathematicae 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Mathematical Physics 2 Journal of Differential Equations 2 Programming and Computer Software 2 Studies in Applied Mathematics 2 Advances in Applied Mathematics 2 Linear Algebra and its Applications 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of High Energy Physics 2 Journal of Systems Science and Complexity 2 Bulletin of Mathematical Sciences 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Archive for History of Exact Sciences 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Israel Journal of Mathematics 1 Mathematical Biosciences 1 Physica A 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Automated Reasoning 1 Applied Mathematics Letters 1 Science in China. Series A 1 Differential Geometry and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Modern Physics D 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Annals of Mathematics and Artificial Intelligence 1 Abstract and Applied Analysis 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematics in Computer Science 1 ACM Communications in Computer Algebra 1 Advances in Mathematical Physics 1 Symmetry 1 Journal of Mathematics
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Cited in 38 Fields

 75 Partial differential equations (35-XX) 43 Computer science (68-XX) 42 Ordinary differential equations (34-XX) 20 Topological groups, Lie groups (22-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Commutative algebra (13-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Field theory and polynomials (12-XX) 11 Nonassociative rings and algebras (17-XX) 10 Numerical analysis (65-XX) 8 Relativity and gravitational theory (83-XX) 7 Associative rings and algebras (16-XX) 7 Differential geometry (53-XX) 7 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Difference and functional equations (39-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)