Edit Profile (opens in new tab) Schwarz, Fritz Co-Author Distance 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 138 Co-Co-Authors all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 246 times in 170 Documents Cited by ▼ Year ▼ Symmetries of differential equations: From Sophus Lie to computer algebra. Zbl 0664.35004Schwarz, Fritz 35 1988 Automatically determining symmetries of partial differential equations. Zbl 0555.65076Schwarz, F. 33 1985 An algorithm for determining the size of symmetry groups. Zbl 0759.68042Schwarz, Fritz 21 1992 Algorithmic Lie theory for solving ordinary differential equations. Zbl 1139.34003Schwarz, Fritz 20 2008 Unitary irreducible representations of the groups \(S0_ 0(n,1)\). Zbl 0209.33402Schwarz, F. 19 1971 Improving Top: PrTop and PsTop. Zbl 0753.18003Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F. 16 1991 Factoring and solving linear partial differential equations. Zbl 1052.35008Grigoriev, D.; Schwarz, F. 15 2004 Reduction and completion algorithms for partial differential equations. Zbl 0978.65515Schwarz, Fritz 9 1992 Generalized Loewy-decomposition of \(D\)-modules. Zbl 1360.13061Grigoriev, Dima; Schwarz, Fritz 8 2005 Janet bases for symmetry groups. Zbl 1024.34027Schwarz, Fritz 8 1998 Symmetries of the Khokhlov-Zabolotskaya equation. Zbl 0663.35087Schwarz, F. 8 1987 Equivalence classes, symmetries and solutions of linear third-order differential equations. Zbl 1025.34005Schwarz, F. 7 2002 Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 7 2003 Loewy and primary decompositions of \(\mathcal D\)-modules. Zbl 1126.35008Grigoriev, D.; Schwarz, F. 7 2007 An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations. Zbl 0585.65051Schwarz, Fritz 7 1985 The Riquier-Janet theory and its application to nonlinear evolution equations. Zbl 0588.58032Schwarz, Fritz 7 1984 Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 6 2002 Painlevé analysis, Yoshida’s theorems and direct methods in the search for integrable Hamiltonians. Zbl 0625.70011Roekaerts, D.; Schwarz, F. 6 1987 Loewy decomposition of linear differential equations. Zbl 1272.35001Schwarz, Fritz 6 2013 Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007Li, Ziming; Schwarz, Fritz 4 2001 Symmetry analysis of Abel’s equation. Zbl 1020.34001Schwarz, Fritz 4 1998 Asymptotic expansions of Fourier integrals with light cone singularities. Zbl 0244.42032Schwarz, Fritz 4 1972 On universally topological hulls and quasitopos hulls. Zbl 0749.18003Adámek, J.; Reiterman, J.; Schwarz, F. 3 1991 Decomposition of ordinary differential equations. Zbl 1388.34003Schwarz, Fritz 3 2017 Loewy decomposition of linear differential equations. Zbl 1261.35002Schwarz, Fritz 3 2012 Addendum to: Automatically determining symmetries of partial differential equations. Zbl 0595.65127Schwarz, F. 3 1986 Symmetries and involution systems: Some experiments in computer algebra. Zbl 0736.35122Schwarz, Fritz 2 1987 ALLTYPES: An algebraic language and type system. Zbl 1057.68151Schwarz, Fritz 2 2002 Loewy decomposition of third-order linear aPDE’s in the plane. Zbl 1489.12020Grigoriev, Dima; Schwarz, Fritz 2 2008 Symmetries and first integrals for dissipative systems. Zbl 0561.34007Schwarz, F.; Steeb, W.-H. 2 1984 Janet bases of 2nd order ordinary differential equations. Zbl 0990.37502Schwarz, Fritz 2 1996 Symmetries of \(SU(2)\) invariant Yang-Mills theories. Zbl 0524.35090Schwarz, Fritz 2 1982 Solving second order ordinary differential equations with maximal symmetry group. Zbl 0934.34001Schwarz, F. 2 1999 The extensional topological hull of the category of Cauchy spaces. Zbl 0812.54016Alderton, I. W.; Schwarz, F. 1 1993 Cartesian closed extensions of the category of uniform spaces. Zbl 0855.54039Alderton, I. W.; Schwarz, F. 1 1994 On third order ordinary differential equations with maximal symmetry group. Zbl 0858.34007Schwarz, F. 1 1996 First integrals and Yoshida analysis of Nahm’s equations. Zbl 0616.58043Louw, J. A.; Schwarz, F.; Steeb, W. H. 1 1986 Efficient factorization of linear ODE’s. Zbl 1097.65540Schwarz, Fritz 1 1994 Algorithmic solution of Abel’s equation. Zbl 0906.34002Schwarz, F. 1 1998 Contact symmetries of the harmonic oscillator. Zbl 0511.22017Schwarz, Fritz 1 1983 Automatically determining symmetries of ordinary differential equations. Zbl 0535.65062Schwarz, Fritz 1 1983 Canonical form transformation of second order differential equations with Lie symmetries. Zbl 0958.34004Schwarz, Fritz 1 2000 Computer algebra software for scientific applications. Zbl 0837.68050Schwarz, F. 1 1994 Decomposition of ordinary differential equations. Zbl 1388.34003Schwarz, Fritz 3 2017 Loewy decomposition of linear differential equations. Zbl 1272.35001Schwarz, Fritz 6 2013 Loewy decomposition of linear differential equations. Zbl 1261.35002Schwarz, Fritz 3 2012 Algorithmic Lie theory for solving ordinary differential equations. Zbl 1139.34003Schwarz, Fritz 20 2008 Loewy decomposition of third-order linear aPDE’s in the plane. Zbl 1489.12020Grigoriev, Dima; Schwarz, Fritz 2 2008 Loewy and primary decompositions of \(\mathcal D\)-modules. Zbl 1126.35008Grigoriev, D.; Schwarz, F. 7 2007 Generalized Loewy-decomposition of \(D\)-modules. Zbl 1360.13061Grigoriev, Dima; Schwarz, Fritz 8 2005 Factoring and solving linear partial differential equations. Zbl 1052.35008Grigoriev, D.; Schwarz, F. 15 2004 Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 7 2003 Equivalence classes, symmetries and solutions of linear third-order differential equations. Zbl 1025.34005Schwarz, F. 7 2002 Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 6 2002 ALLTYPES: An algebraic language and type system. Zbl 1057.68151Schwarz, Fritz 2 2002 Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007Li, Ziming; Schwarz, Fritz 4 2001 Canonical form transformation of second order differential equations with Lie symmetries. Zbl 0958.34004Schwarz, Fritz 1 2000 Solving second order ordinary differential equations with maximal symmetry group. Zbl 0934.34001Schwarz, F. 2 1999 Janet bases for symmetry groups. Zbl 1024.34027Schwarz, Fritz 8 1998 Symmetry analysis of Abel’s equation. Zbl 1020.34001Schwarz, Fritz 4 1998 Algorithmic solution of Abel’s equation. Zbl 0906.34002Schwarz, F. 1 1998 Janet bases of 2nd order ordinary differential equations. Zbl 0990.37502Schwarz, Fritz 2 1996 On third order ordinary differential equations with maximal symmetry group. Zbl 0858.34007Schwarz, F. 1 1996 Cartesian closed extensions of the category of uniform spaces. Zbl 0855.54039Alderton, I. W.; Schwarz, F. 1 1994 Efficient factorization of linear ODE’s. Zbl 1097.65540Schwarz, Fritz 1 1994 Computer algebra software for scientific applications. Zbl 0837.68050Schwarz, F. 1 1994 The extensional topological hull of the category of Cauchy spaces. Zbl 0812.54016Alderton, I. W.; Schwarz, F. 1 1993 An algorithm for determining the size of symmetry groups. Zbl 0759.68042Schwarz, Fritz 21 1992 Reduction and completion algorithms for partial differential equations. Zbl 0978.65515Schwarz, Fritz 9 1992 Improving Top: PrTop and PsTop. Zbl 0753.18003Herrlich, Horst; Lowen-Colebunders, E.; Schwarz, F. 16 1991 On universally topological hulls and quasitopos hulls. Zbl 0749.18003Adámek, J.; Reiterman, J.; Schwarz, F. 3 1991 Symmetries of differential equations: From Sophus Lie to computer algebra. Zbl 0664.35004Schwarz, Fritz 35 1988 Symmetries of the Khokhlov-Zabolotskaya equation. Zbl 0663.35087Schwarz, F. 8 1987 Painlevé analysis, Yoshida’s theorems and direct methods in the search for integrable Hamiltonians. Zbl 0625.70011Roekaerts, D.; Schwarz, F. 6 1987 Symmetries and involution systems: Some experiments in computer algebra. Zbl 0736.35122Schwarz, Fritz 2 1987 Addendum to: Automatically determining symmetries of partial differential equations. Zbl 0595.65127Schwarz, F. 3 1986 First integrals and Yoshida analysis of Nahm’s equations. Zbl 0616.58043Louw, J. A.; Schwarz, F.; Steeb, W. H. 1 1986 Automatically determining symmetries of partial differential equations. Zbl 0555.65076Schwarz, F. 33 1985 An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations. Zbl 0585.65051Schwarz, Fritz 7 1985 The Riquier-Janet theory and its application to nonlinear evolution equations. Zbl 0588.58032Schwarz, Fritz 7 1984 Symmetries and first integrals for dissipative systems. Zbl 0561.34007Schwarz, F.; Steeb, W.-H. 2 1984 Contact symmetries of the harmonic oscillator. Zbl 0511.22017Schwarz, Fritz 1 1983 Automatically determining symmetries of ordinary differential equations. Zbl 0535.65062Schwarz, Fritz 1 1983 Symmetries of \(SU(2)\) invariant Yang-Mills theories. Zbl 0524.35090Schwarz, Fritz 2 1982 Asymptotic expansions of Fourier integrals with light cone singularities. Zbl 0244.42032Schwarz, Fritz 4 1972 Unitary irreducible representations of the groups \(S0_ 0(n,1)\). Zbl 0209.33402Schwarz, F. 19 1971 all cited Publications top 5 cited Publications all top 5 Cited by 212 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 4 Shemyakova, Ekaterina 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 Winkler, Franz 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 Ganzha, Elena I. 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 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 Avellar, J. 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 Cardoso, M. S. 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 da Mota, Luis Antonio Campinho Pereira 1 Dahl, Matias F. 1 Davachi, N. 1 Devitt, John S. 1 Doran-Wu, Patrick 1 Drew, Mark S. 1 Duarte, L. G. 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 Fichet, Sylvain 1 Fröhler, Stefan 1 Gazeau, Jean-Pierre 1 Gegenberg, Jack D. 1 Gerdzhikov, Vladimir Stefanov 1 Giesbrecht, Mark W. 1 Gómez Torrecillas, José 1 Goriely, Alain 1 Gragert, Peter K. H. 1 Grammaticos, Basil 1 Grasegger, Georg 1 Hangos, Katalin Mária 1 Hartley, David H. ...and 112 more Authors all top 5 Cited in 70 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 5 Computer Physics Communications 5 Journal of High Energy Physics 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 Systems Science and Complexity 2 Journal of Applied Mathematics 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 International Journal of Theoretical Physics 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 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 all top 5 Cited in 38 Fields 77 Partial differential equations (35-XX) 44 Computer science (68-XX) 42 Ordinary differential equations (34-XX) 21 Topological groups, Lie groups (22-XX) 18 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) 11 Numerical analysis (65-XX) 11 Quantum theory (81-XX) 9 Relativity and gravitational theory (83-XX) 8 Associative rings and algebras (16-XX) 7 Differential geometry (53-XX) 6 Operator theory (47-XX) 4 Mechanics of particles and systems (70-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 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) 2 Integral transforms, operational calculus (44-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 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) Citations by Year