Former Member

Dr. Georg Regensburger

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Georg Regensburger

Peer Reviewed Journal Publication
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2017, online: 2016) Planar Linkages Following a Prescribed Motion. Mathematics of Computation, Bd. 86, S. 473-506. (link)
  • Müller S, Regensburger G (2016) Elementary vectors and conformal sums in polyhedral geometry and their relevance in metabolic pathway analysis. Frontiers in Genetics, Bd. 7:90, S. 1-11. (link)
  • Müller S, Feliu E, Regensburger G, Conradi C, Shiu A, Dickenstein A (2016, online: 2015) Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Foundations of Computational Mathematics, Bd. 16, S. 69-97. (link)
  • Boulier, François; Lemaire, François; Lallemand, Joseph; Regensburger, Georg; Rosenkranz, Markus (2016, online: 2016) Additive normal forms and integration of differential fractions. Journal of Symbolic Computation, Bd. 77, S. 16-38 <'http://dx.doi.org/10.1016/j.jsc.2016.01.002'>.
  • Barkatou, Moulay; Cluzeau, Thomas; Ovchinnikov, Alexey; Regensburger, Georg; Rosenkranz, Markus (2016, online: 2015) Special issue on computational aspects of differential/difference algebra and integral operators. Advances in Applied Mathematics, Bd. 72, S. 1-3. (link)
  • Müller S, Regensburger G, Steuer R (2015) Resource allocation in metabolic networks: kinetic optimization and approximations by FBA. Biochemical Society Transactions, Bd. 43 (6), S. 1195-1200. (link)
  • Korporal, Anja; Regensburger, Georg (2014, online: 2013) On the product of projectors and generalized inverses. Linear and Multilinear Algebra, Bd. 62, S. 1567-1582 . (link)
  • Müller S, Regensburger G, Steuer R (2014, online: 2013) Enzyme allocation problems in kinetic metabolic networks: Optimal solutions are elementary flux modes. Journal of Theoretical Biology, Bd. 347, S. 182-190. (link)
  • Guo, Li; Regensburger, Georg; Rosenkranz, Markus (2014, online: 2013) On integro-differential algebras. Journal of Pure and Applied Algebra, Bd. 218 (3), S. 456-473 . (link)
  • Albrecher, Hansjörg; Constantinescu, Corina; Palmowski, Zbigniew; Regensburger, Georg; Rosenkranz, Markus (2013) Exact and asymptotic results for insurance risk models with surplus-dependent premiums. SIAM Journal on Applied Mathematics, Bd. 73 (1), S. 47-66. (link)
  • Müller S, Regensburger G (2012) Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces. SIAM Journal on Applied Mathematics, Bd. 72 (6), S. 1926-1947. (link)
  • Korporal, Anja; Regensburger, Georg; Rosenkranz, Markus (2012) Symbolic Computation for Ordinary Boundary Problems in Maple. ACM Communications in Computer Algebra, Bd. 46 (3/4), S. 154-156 . (link)
  • Korporal, Anja; Regensburger, Georg; Rosenkranz, Markus (2010) A Maple Package for Integro-Differential Operators and Boundary Problems. ACM Communications in Computer Algebra, Bd. 44 (3), S. 120-122 .
  • Albrecher, Hansjoerg; Constantinescu, Corina; Pirsic, Gottlieb; Regensburger, Georg; Rosenkranz, Markus (2009) An algebraic operator approach to the analysis of Gerber–Shiu functions. Insurance: Mathematics and Economics .
  • Regensburger, Georg; Rosenkranz, Markus (2009) An Algebraic Foundation for Factoring Linear Boundary Problems. Ann. Mat. Pura Appl. (4), Bd. 188 (1), S. 123-151 .
  • Buchberger, Bruno; Rosenkranz, Markus; Regensburger, Georg; Tec, Loredana (2008) General Polynomial Reduction with THEOREMA Functors: Applications to Integro-Differential Operators and Polynomials. ACM Communications in Computer Algebra, Bd. 42 (3), S. 135-137.
  • Rosenkranz, Markus; Regensburger, Georg (2008) Solving and Factoring Boundary Problems for Linear Ordinary Differential Equations in Differential Algebras. Journal of Symbolic Computation, Bd. 43 (8), S. 515-544.
  • Regensburger, Georg (2007) Parametrizing compactly supported orthonormal wavelets by discrete moments., Bd. 18 (6), S. 583-601 .
  • Regensburger, G.; Scherzer, O. (2005) Symbolic Computation for Moments and Filter Coefficients of Scaling Functions. Annals of Combinatorics, Bd. 9(2), S. 223-243. (link)

Conference Contribution: Publication in Proceedings
  • Hossein Poor, Jamal; Raab, Clemens; Regensburger, Georg (2016, online: 2016) Algorithmic operator algebras via normal forms of tensors. In: Rosenkranz, Markus (Hrsg.), Proceedings of the 2016 ACM International Symposium on Symbolic and Algebraic Computation (41st International Symposium on Symbolic and Algebraic Computation (ISSAC 2016)): ACM New York, S. 397-404.
  • Hossein Poor, Jamal; Raab, Clemens; Regensburger, Georg (2016, online: 2016) Normal Forms for Operators via Gröbner Bases in Tensor Algebras. In: Greuel, Gert-Martin; Koch, Thorsten; Paule, Peter; Sommese, Andrew (Hrsg.), Mathematical Software – ICMS 2016 (5th International Congress on Mathematical Software (ICMS 2016)) In Reihe: Lecture Notes in Computer Science (LNCS): Springer International Publishing Switzerland, S. 505-513.
  • Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg; Wolfram, Marie-Therese (2015) Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models., 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC): IEEE Computer Society, Conference Publishing Services (CPS), S. 27-33. (link)
  • Müller, Stefan; Regensburger, Georg (2014) Generalized mass-action systems and positive solutions of polynomial equations with real and symbolic exponents. In: Gerdt, Vladimir P.; Koepf, Wolfram; Seiler, Werner M.; Vorozhtsov, Evgenii V. (Hrsg.), Computer Algebra in Scientific Computing. Proceedings of the 16th International Workshop (CASC 2014) (CASC 2014, Workshop on Computer Algebra in Scientific Computing) In Reihe: Lecture Notes in Computer Science (LNCS); Cham: Springer International Publishing, S. 302-323 . (link)
  • Boulier, François; Lemaire, François; Regensburger, Georg; Rosenkranz, Markus (2013) On the integration of differential fractions. In: Kauers, Manuel (Hrsg.), ISSAC '13 Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation (ISSAC '13); New York: ACM, S. 101-108 . (link)
  • Quadrat, Alban; Regensburger, Georg (2013) Polynomial solutions and annihilators of ordinary integro-differential operators., Proceedings of 5th IFAC Symposium on System Structure and Control (SSSC 2013): IFAC, S. 308-313 . (link)
  • Korporal, Anja; Regensburger, Georg; Rosenkranz, Markus (2011) Regular and Singular Boundary Problems in Maple. In: Gerdt, Vladimir P.; Koepf, Wolfram; Mayr, Ernst W; Vorozhtsov, Evgenii V. (Hrsg.), Computer Algebra in Scientific Computing, 13th International Workshop. CASC 2011, Kassel, Germany, September 5-9, 2011. Proceedings (CASC 2011, Workshop on Computer Algebra in Scientific Computing) In Reihe: Lecture Notes in Computer Science (LNCS); Berlin: Springer, S. 280-293.
  • Tec, Loredana; Regensburger, Georg; Rosenkranz, Markus; Buchberger, Bruno (2010) An Automated Confluence Proof for an Infinite Rewrite System Parametrized over an Integro-Differential Algebra. In: Fukuda, K.; van der Hoeven, J.; Joswig, M.; Takayama, N. (Hrsg.), Mathematical Software - Proceedings of ICMS 2010 (ICMS 2010) In Reihe: Lecture Notes in Computer Science (LNCS); Berlin: Springer, S. 245-248 .
  • Rosenkranz, Markus; Regensburger, Georg; Tec, Loredana; Buchberger, Bruno (2009) A Symbolic Framework for Operations on Linear Boundary Problems. In: Gerdt, Vladimir P.; Mayr, Ernst W.; Vorozhtsov, Evgenii V. (Hrsg.), CASC'09: Proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing (CASC'09) In Reihe: Lecture Notes in Computer Science (LNCS); Berlin: Springer, S. 269-283.
  • Regensburger, Georg; Rosenkranz, Markus; Middeke, Johannes (2009) A Skew Polynomial Approach to Integro-Differential Operators. In: May, John P. (Hrsg.), ISSAC '09: Proceedings of the 2009 international symposium on Symbolic and algebraic computation; New York: ACM, S. 287-294 . (link)
  • Rosenkranz, Markus; Regensburger, Georg (2008) Integro-Differential Polynomials and Operators. In: Jeffrey, D. (Hrsg.), ISSAC '08: Proceedings of the twenty-first international symposium on Symbolic and algebraic computation (ISSAC'08); New York: ACM, S. 261-268 .
  • Regensburger, Georg (2008) Max-Plus Linear Algebra in Maple and Generalized Solutions for First-Order Ordinary BVPs via Max-Plus Interpolation. In: Moreno Maza, Marc; Watt, Stephen M. (Hrsg.), Milestones in Computer Algebra MICA 2008 (A conference in honour of Keith Geddes' 60th birthday); Stonehaven Bay, Trinidad and Tobago: University of Western Ontario, S. 177-182.
  • Regensburger, G. (2006) Parametrizing orthonormal wavelets by moments. (Special Semester on Groebner Bases Workshop D3: Groebner Bases in Control Theory and Signal Processing, Linz, Austria, 18.05.06 - 19.05.06) .
  • Regensburger, G. (2006) Max-plus Linear Algebra and Nonlinear Ordinary BVPs. (GAMM, Berlin, Germany, 27.03.06 - 31.03.06). (link)
  • Regensburger, G. (2005) Parametrized wavelets and algebraic curves. (Workshop on Resolution of Algebraic Varieties).
  • Regensburger, G. (2005) Construction of Parameterized Wavelets Using Gröbner Bases. (ACA 2005, Conference on Applications of Computer Algebra, Nara, Japan) .
  • Regensburger, Georg (2005) Construction and Applications of Parametrized Wavelets. (Workshop on Inverse Problems, Obergurgl) .

Contribution in Collection
  • Jungreuthmayer C, Gerstl M P, Hanscho M, Nair G, Regensburger G, Müller S, Zanghellini J (2017) Towards Efficient Genome-Scale Metabolic Pathway Analysis. In: Wittmann C, Liao J C (Hrsg.), Industrial Biotechnology: Microorganisms: Wiley.
  • Korporal, Anja; Regensburger, Georg (2014) Composing and factoring generalized Green’s operators and ordinary boundary problems. In: Barkatou, Moulay; Cluzeau, Thomas; Regensburger, Georg; Rosenkranz, Markus (Hrsg.), Algebraic and Algorithmic Aspects of Differential and Integral Operators (AADIOS 2012); Berlin / Heidelberg: Springer, S. 116-134 .
  • Rosenkranz, M.; Regensburger, G.; Tec, L.; Buchberger, B. (2012) Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases. In: Langer, Ulrich; Paule, Peter (Hrsg.), Numerical and Symbolic Scientific Computing: Progress and Prospects; Vienna: SpringerWienNew York, S. 273-331 .
  • Regensburger, Georg (2007) Applications of filter coefficients and wavelets parametrized by moments. In: Park, Hyungju; Regensburger, Georg (Hrsg.); Berlin: Walter de Gruyter & Co., S. 191-214.

Editorship
  • Barkatou, Moulay; Cluzeau, Thomas; Regensburger, Georg; Rosenkranz, Markus (Hrsg.) (2014) Algebraic and Algorithmic Aspects of Differential and Integral Operators,5th International Meeting, AADIOS 2012. In Reihe: Lecture Notes in Computer Science (LNCS); Berlin / Heidelberg: Springer (201 Seiten) .
  • Horimoto, Katsuhisa; Regensburger, Georg; Rosenkranz, Markus; Yoshida, Hiroshi (Hrsg.) (2008) Algebraic Biology,Third International Conference, AB 2008, Castle of Hagenberg, Austria, July 31-August 2, 2008, Proceedings. In Reihe: Lecture Notes in Computer Science (LNCS); Berlin / Heidelberg: Springer (257 Seiten). (link)
  • Horimoto, Katsuhisa; Regensburger, Georg; Rosenkranz, Markus; Yoshida, Hiroshi (Hrsg.) (2008) Algebraic Biology, Third International Conference, AB 2008, Castle of Hagenberg, Austria, July 31-August 2, 2008, Invited Talks and Short Communications.; Linz (41 Seiten). (link)
  • Park, Hyungju; Regensburger, Georg (Hrsg.) (2007) Gröbner Bases in Control Theory and Signal Processing. In Reihe: Radon Series on Computational and Applied Mathematics; Berlin: Walter de Gruyter & Co (251 Seiten).

Research Report
  • Müller S, Regensburger G (2015) Elementary vectors and conformal sums in polyhedral geometry and applications in metabolic pathway analysis. Bericht-Nr. arXiv:1512.00267 [math.MG]; Cornell University: Ithaca. (link)
  • Koutschan, Christoph; Ranetbauer, Helene; Regensburger, Georg; Wolfram, Marie-Therese (2015, online: 2015) Symbolic Derivation of Mean-Field PDEs from Lattice-Based Models. Bericht-Nr. 2015-14; RICAM: Linz. (link)
  • Gallet, Matteo; Koutschan, Christoph; Li, Zijia; Regensburger, Georg; Schicho, Josef et al. [..] (2015, online: 2015) Planar Linkages Following a Prescribed Motion. Bericht-Nr. 2015-03; RICAM: Linz. (link)
  • Müller S, Regensburger G (2014) Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents. Bericht-Nr. arXiv:1406.6587 [math.DS]; Cornell University: Ithaca . (link)
  • Müller S, Feliu E, Regensburger G, Conradi C, Shiu A, Dickenstein A (2013) Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Bericht-Nr. arXiv:1311.5493 [math.AG]; Cornell University: Ithaca . (link)
  • Müller S, Regensburger G, Steuer R (2013) Enzyme allocation problems in kinetic metabolic networks: Optimal solutions are elementary flux modes. Bericht-Nr. arXiv:1308.0510 [q-bio.MN]; Cornell University: Ithaca . (link)
  • Guo, L.; Regensburger, G.; Rosenkranz, M. (2012) On integro-differential algebras. Bericht-Nr. arXiv:1212.0266; Cornell University: Ithaca .
  • Korporal, A.; Regensburger, G. (2012) On the product of projectors and generalized inverses. Bericht-Nr. 2012-22; Johann Radon Institute for Computational and Applied Mathematics: Linz. (link)
  • Müller S, Regensburger G (2012) Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces. Bericht-Nr. 2012-21; Linz . (link)
  • Rosenkranz, Markus; Regensburger, Georg; Tec, Loredana; Buchberger, Bruno (2009) A Symbolic Framework for Operations on Linear Boundary Problems. Bericht-Nr. 2009-10; RICAM: Linz .
  • Regensburger, Georg; Rosenkranz, Markus; Middeke, Johannes (2009) A Skew Polynomial Approach to Integro-Differential Operators. Bericht-Nr. 2009-01; RICAM: Linz .
  • Albrecher, Hansjoerg; Constantinescu, Corina; Pirsic, Gottlieb; Regensburger, Georg; Rosenkranz, Markus (2008) An Algebraic Approach to the Analysis of Gerber-Shiu Functions. Bericht-Nr. 2008-33; Johann Radon Institute for Computational and Applied Mathematics: Linz.
  • Regensburger, Georg; Rosenkranz, Markus (2008) An Algebraic Foundation for Factoring Linear Boundary Problems. Bericht-Nr. 2007-09; SFB F013: .
  • Rosenkranz, Markus; Regensburger, Georg (2008) Integro-Differential Polynomials and Operators. Bericht-Nr. 2008-02; SFB F013: .
  • Rosenkranz, Markus; Regensburger, Georg (2007) Solving and Factoring Boundary Problems for Linear Ordinary Differential Equations in Differential Algebras. Bericht-Nr. 2007-08; SFB F013: .
  • Regensburger, Georg (2007) Applications of filter coefficients and wavelets parametrized by moments. Bericht-Nr. 2007-05; SFB F013: .
  • Regensburger, G. (2005) Parametrizing compactly supported orthonormal wavelets by discrete moments. Bericht-Nr. 2005-23; SFB F013:. (link)