Unit of Engineering Mathematics
 at the Institute of Basic Sciences in Civil Engineering

Michael Oberguggenberger

Univ.-Prof. Dr. Michael Oberguggenberger


Publications

Books, Articles, Contributions to Proceedings, Preprints

Books

    Monographs

  1. Der Graphensatz in lokalkonvexen topologischen Vektorräumen. Teubner-Texte Math. Bd. 44, Teubner, Leipzig 1982.
  2. Multiplication of Distributions and Applications to Partial Differential Equations. Pitman Research Notes Math. Vol. 259, Longman, Harlow 1992.
  3. with E. E. Rosinger. Solution of Continuous Nonlinear PDEs through Order Completion. North-Holland Math. Studies Vol. 181, North-Holland, Amsterdam 1994.
  4. with M. Grosser, M. Kunzinger, R. Steinbauer. Geometric Theory of Generalized Functions with Applications to General Relativity. Mathematics and its Applications Vol. 537, Kluwer Acad. Publ., Dordrecht 2001.
  5. with A. Ostermann. Analysis für Informatiker. Springer-Verlag, Berlin  2005. 2nd Ed. 2009.
  6. with A. Ostermann. Analysis for Computer Scientists. Foundations, Methods, and Algorithms. Springer-Verlag, London 2011.

    Edited Books/Proceedings

  1. with M. Grosser, G. Hörmann, M. Kunzinger (Eds.). Nonlinear Theory of Generalized Functions. Chapman & Hall/CRC Research Notes Math. Vol. 401, Boca Raton 1999.
  2. with W. Fellin, H. Lessmann and R. Vieider (Eds.). Analyzing Uncertainty in Civil Engineering. Springer-Verlag, Berlin 2005.
  3. with A. Kamiński and S. Pilipović (Eds.). Linear and Non-Linear Theory of Generalized Functions and its Applications. Banach Center Publications, Vol. 88, Warszawa 2010.
  4. with F. Coolen, G. de Cooman and T. Fetz (Eds.). Proceedings of the Seventh International Symposium on Imprecise Probability: Theories and Applications. SIPTA, Studia Verlag, Innsbruck 2011.

    Edited Special Issues

  1. with G. I. Schuëller and K. Marti (Eds.). Special Issue on  Fuzzy Sets, Imprecise Probability and Stochastics in Engineering. ZAMM  84, No. 10-11, 2004.
  2. with A. Kamiński and S. Pilipović (Eds). Special Issue, Proceedings of the Conference: Linear and Non-Linear Theory of Generalized Functions and its Applications, held in Bedlewo, Poland, 2-8 September 2007. Inegral Transforms and Special Functions 20, No. 3-4, 2009.
  3. with F. Coolen and M. Troffaes (Eds.). Special Issue on Uncertainty in Engineering Risk and Reliability. Proceedings of the Institute of Mechanical Engineers Part O: Journal of Risk and Reliability 224, No. 4, 2010.
  4. with G. Hörmann and M. W. Wong, Special Issue on Generalized Functions and Applications. Applicable Analysis 90, No. 11, 2011.

Articles

  1. A note on surjections of locally convex spaces. Math. Ann. 267 (1984), 549 - 554.
  2. Über Folgenkonvergenz in lokalkonvexen Räumen. Math. Nachr. 129 (1986), 219 - 234.
  3. Products of distributions. J. reine angew. Math. 365 (1986), 1 - 11.
  4. Multiplication of distributions in the Colombeau algebra G(W). Boll. Un. Mat. Ital. (6) 5-A (1986), 423 - 429.
  5. Weak limits of solutions to semilinear hyperbolic systems. Math. Ann. 274 (1986), 599 - 607.
  6. Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension. J. Diff. Eqs. 61 (1986), 1 - 39.
  7. Propagation and reflection of regularity for semilinear hyperbolic (2x2) systems in one space dimension. Nonlinear Anal. 10 (1986), 965 - 981.
  8. Generalized solutions to semilinear hyperbolic systems. Monatshefte Math. 103 (1987), 133 - 144.
  9. Solutions généralisées de systèmes hyperboliques semilinéaires. C. R. Acad. Sci. Paris, Sér. I, 305 (1987), 17 - 18.
  10. Products of distributions: Nonstandard methods. Zeitschr. Anal. Anw. 7 (1988), 347 - 365. Correction: Zeitschr. Anal. Anw. 10 (1992), 263 - 264.
  11. Systèmes hyperboliques à coefficients discontinus: solutions généralisées et une application à l'acoustique linéaire. C. R. Math. Rep. Acad. Sci. Canada 10 (1988), 143 - 148.
  12. Hyperbolic systems with discontinuous coefficients: Generalized solutions and a transmission problem in acoustics. J. Math. Anal. Appl. 142 (1989), 452 - 467.
  13. with J. F. Colombeau. On a hyperbolic system with a compatible quadratic term: Generalized solutions, delta waves, and multiplication of distributions. Comm. Part. Diff. Eqs. 15 (1990), 905 - 938.
  14. with F. Lafon. Generalized solutions to symmetric hyperbolic systems with discontinuous coefficients: the multidimensional case. J. Math. Anal. Appl. 160 (1991), 93 - 106.
  15. The Carleman system with positive measures as initial data. Transport Theory Statist. Phys. 20 (1991), 177 - 197.
  16. with H.G. Embacher and G. Grübl. Products of distributions in several variables and applications to zero-mass QED2. Zeitschr. Anal. Anw. 11 (1992), 437 - 454.
  17. with H. A. Biagioni. Generalized solutions to Burgers' equation. J. Diff. Eqs. 97 (1992), 263 - 287.
  18. with H. A. Biagioni. Generalized solutions to the Korteweg - de Vries and the regularized long-wave equations. SIAM J. Math. Anal. 23 (1992), 923 - 940.
  19. Case study of a nonlinear, nonconservative, non-strictly hyperbolic system. Nonlinear Anal. 19 (1992), 53 - 79.
  20. with J. F. Colombeau and A. Heibig. Le problème de Cauchy dans un espace de fonctions généralisées I. C. R. Acad. Sci. Paris, Sér. I, 317 (1993), 851 - 855.
  21. with W. Netzer and O. Pregl. The horizontal bedding of flexible buried pipelines in variable bedding areas. 3R international 32 (1993), 101 - 106.
  22. with Y.-G. Wang. Generalized solutions to conservation laws. Zeitschr. Anal. Anw. 13 (1994), 7 - 18.
  23. with Y.-G. Wang. Reflection of delta-waves for nonlinear wave equations in one space variable. Nonlinear Anal. 22 (1994), 983 - 992.
  24. with Y.-G. Wang. Delta-waves for semilinear hyperbolic Cauchy problems. Math. Nachr. 166 (1994), 317 - 327.
  25. with H. Lessmann and J. Mühlögger. Netzplantechnik mit unscharfen Methoden. Der Bauingenieur 69 (1994), 469 - 478.
  26. with J. F. Colombeau and A. Heibig. Le problème de Cauchy dans un espace de fonctions généralisées II. C. R. Acad. Sci. Paris, Sér.I, 319 (1994), 1179 - 1183.
  27. with J. F. Colombeau and A. Heibig. Generalized solutions to partial differential equations of evolution type. Acta Appl. Math. 45 (1996), 115 - 142.
  28. with Th. Fetz, M. Hofmeister, G. Hunger, J. Jäger, H. Lessmann, A. Rieser, R.F. Stark. Tunnelberechnung - Fuzzy? Der Bauingenieur 72 (1997), 33 - 40.
  29. with T. Todorov. An embedding of Schwartz distributions in the algebra of asymptotic functions. Int. J. Math. Math. Sci. 21 (1998), 417 - 428.
  30. with F. Russo. Nonlinear stochastic wave equations. Integral Transforms and Special Functions 6 (1998), 71 - 83.
  31. with Th. Fetz, J. Jäger, D. Köll, G. Krenn, H. Lessmann, R.F. Stark. Fuzzy models in geotechnical engineering and construction management. Computer-Aided Civil and Infrastructure Engineering 14 (1999), 93 - 106.
  32. with Y.-G. Wang. Regularized conservation laws and nonlinear geometric optics. Monatshefte Math. 127(1999), 55 - 66.
  33. with Y.-G. Wang. Nonlinear parabolic equations with regularized derivatives. J. Math. Anal. Appl. 233(1999), 644 - 658.
  34. with M. Kunzinger. Characterization of Colombeau generalized functions by their pointvalues. Math. Nachr 203 (1999), 147 - 157.
  35. with S. Pittschmann. Differential equations with fuzzy parameters. Math. and Computer Modelling of Dynamical Systems 5(1999), 181 - 202.
  36. with M. Kunzinger. Group analysis of differential equations and generalized functions. SIAM J. Math. Anal. 31(2000), 1192 - 1213.
  37. with Th. Fetz, S. Pittschmann. Applications of possibility and evidence theory in civil engineering. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 8(2000), 295 - 309.
  38. with H. Grosse, I.T. Todorov. Generalized functions for quantum fields obeying quadratic exchange relations. Proc. Steklov Inst. Math. 228(2000), 81 - 91.
  39. with Y.-G. Wang. Semilinear geometric optics for generalized solutions. Zeitschr. Anal. Anw. 19(2000), 913 - 926.
  40. Generalized functions in nonlinear models - a survey. Nonlinear Analysis 47/8(2001), 5029 - 5040.
  41. with S. Pilipovic and D. Scarpalézos. Local properties of Colombeau generalized functions. Math. Nachrichten 256(2003), 88 - 99.
  42. with M. Kunzinger, R. Steinbauer and J. A. Vickers. Generalized flows and singular ODEs on differentiable manifolds. Acta Appl. Math., 80(2004), 221 - 241.
  43. with G. Hörmann. Elliptic regularity and solvability for partial differential equations with Colombeau coefficients. Electron. J. Diff. Eqns., 2004(2004), No. 14, pp. 1 - 30.
  44. with Th. Fetz. Propagation of uncertainty through multivariate functions in the framework of sets of probability measures. Reliability Engineering and Systems Safety 85(2004), 73 - 87.
  45. Generalized solutions to nonlinear wave equations. Matemática Contemporânea 27(2004), 169 - 187.
  46. with M. Nedeljkov and S. Pilipović. Generalized solutions to a semilinear wave equation. Nonlinear Analysis 61(2005), 461 - 475.
  47. with G. Hörmann and S. Pilipović. Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients. Trans. Am. Math. Soc. 358(2006), 3363 - 3383.
  48. with D. Rajter. Stochastic differential equations driven by generalized positive noise. Publ. Inst. Math. Beograd 77(91) (2005), 7 - 19.
  49. with C. Garetto and T. Gramchev. Pseudodifferential operators with generalized symbols and regularity theory. Electron. J. Diff. Eqns. 2005(2005), No. 116, pp. 1 - 43.
  50. Regularity theory in Colombeau algebras.  Bull. T. CXXXIII Acad. Serbe Sci. Arts, Cl. Sci. Math. Nat., Sci. Math. 31(2006), 147 - 162.
  51. Notes on regularity results in Colombeau algebras. Integral Transforms and Special Functions 17(2006), 101 - 107.
  52. with S. Pilipović and D. Scarpalézos. Positivity and positive definiteness in generalized function algebras. J. Math. Anal. Appl. 328(2007), 1321 - 1335.
  53. with S. Pilipović and V. Valmorin. Global Representatives of Colombeau Holomorphic Generalized Functions. Monatshefte Math. 151(2007), 67 - 74.
  54. with W. Fellin. Reliability bounds through random sets: nonparametric methods and geotechnical applications. Computers & Structures 86(2008), 1093 - 1101.
  55. with H. Vernaeve. Internal sets and internal functions in Colombeau theory. J. Math. Anal. Appl. 341(2008), 649 - 659.
  56. with H. Schumacher. Die Determinierung der "überwiegenden Wahrscheinlichkeit" in der Fortbestehensprognose. Recht der Wirtschaft 3/2008, 187 - 191.
  57. with S. Konjik and M. Kunzinger. Foundations of the calculus of variations in generalized function algebras. Acta Appl. Math. 103(2008), 169 - 199. 
  58. with J.-A. Marti and A. Delcroix. Microlocal asymptotic analysis in algebras of generalized functions. Asymptotic Analysis 59(2008), 83 - 107.
  59. with C. Garetto and G. Hörmann. Generalized Oscillatory Integrals and Fourier Integral Operators. Proc. Edinburgh Math. Soc. 52(2009), 351 - 386.
  60. with M. De Hoop and G. Hörmann. Evolution systems for paraxial wave equations of Schrödinger-type with non-smooth coefficients. J. Diff. Eqs. 245(2008), 1413 - 1432.
  61. with M. Nedeljkov. Interactions of delta shock waves in a strictly hyperbolic system of conservation laws. J. Math. Anal. Appl. 344(2008), 1143 - 1157.
  62. with J. King and B. Schmelzer. Classical and imprecise probability methods for sensitivity analysis in engineering: A case study. International Journal of Approximate Reasoning 50(2009), 680 - 693.
  63. with J. Aleksić, J.-F. Colombeau and S. Pilipović. Approximate generalized solutions and measure-valued solutions to conservation laws. Integral Transforms and Special Functions 20(3-4)(2009), 161 - 170.
  64. with W. Fellin, J. King and A. Kirsch, Uncertainty modelling and sensitivity analysis of tunnel face stability. Structural Safety 32(2010), 402 - 410.
  65. with Th. Fetz, Multivariate Models of Uncertainty: A Local Random Set Approach. Structural Safety 32(2010), 417 - 424.
  66. with. B. Schmelzer and C. Adam, Efficiency of Tuned Mass Dampers with Uncertain Parameters on the Performance of Structures under Stochastic Excitation. Journal of Risk and Reliability 224(4)(2010), 297 - 308.  
  67. with J. Aragona, S.O. Juriaans, R. Fernandez, Differential calculus and integration of generalized functions over membranes. Monatshefte für Mathematik 166(2012), 1 - 18.
  68. with W. Fellin, Robust assessment of shear parameters from direct shear tests. Int. J. Reliability and Safety 6(2012), 49 - 64.
  69. with V. Kreinovich and G. Xiang, How to define a confidence set for functions: a new justification of the area method. Int. J. General Systems, 40(7)(2011), 727 - 739.
  70. with M. Nedeljkov, Ordinary differential equations with delta function terms. Publ. Inst. Math. Beograd 91(105)(2012), 125 - 135.
  71. with C. Garetto, Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. Math. Nachrichten, to appear.

Contributions to Books and Proceedings

  1. Weak limits of solutions to semilinear hyperbolic systems. In: F. Colombini, M. K. V. Murthy (Eds.), Hyperbolic Equations. Pitman Research Notes Math. Vol. 158, Longman, Harlow 1987, 278 - 281.
  2. Hyperbolic systems with discontinuous coefficients: examples. In: B. Stankovic, E. Pap, S. Pilipovic, V. S. Vladimirov (Eds.), Generalized Functions, Convergence Structures, and Their Applications. Plenum Press, New York 1988, 257 - 266.
  3. Semilinear wave equations with rough initial data: generalized solutions. In: P. Antosik, A. Kaminski (Eds.), Generalized Functions and Convergence. World Sci. Publ., London 1990, 181 - 203.
  4. Nonlinear theories of generalized functions. In: S. Albeverio, W. A. J. Luxemburg, M. P. H. Wolff (Eds.), Advances in Analysis, Probability, and Mathematical Physics - Contributions from Nonstandard Analysis. Kluwer, Dordrecht 1994, 56 - 74.
  5. Generalized functions and stochastic processes. In: E. Bolthausen, M. Dozzi, F. Russo (Eds.), Seminar on Stochastic Analysis, Random Fields and Applications. Birkhäuser-Verlag, Basel 1995, 215 - 229.
  6. Contributions of Nonstandard Analysis to partial differential equations. In: N.J. Cutland, V. Neves, F. Oliveira, J. Sousa Pinto (Eds.), Developments in Nonstandard Mathematics. Pitman Research Notes Math. Vol. 336, Longman, Harlow 1995, 130 - 150.
  7. with M. Kunzinger. Symmetries of differential equations in Colombeau algebras. In: N.H. Ibragimov, F.M. Mahomed (Eds.), Modern Group Analysis VI. New Age Int. Publ., New Delhi 1997, 9 - 20.
  8. Fuzzy differential equations. In: I. Troch, F. Breitenecker (Eds.), Proceedings IMACS Symposium on Mathematical Modelling, Vienna 1997, ARGESIM Report 11 (1997), 75 - 80.
  9. with F. Russo. Nonlinear SPDEs: Colombeau solutions and pathwise limits. In: L. Decreusefond, J. Gjerde, B. Øksendal, A.S. Üstünel (Eds.), Stochastic Analysis and Related Topics VI. Birkhäuser, Boston 1998, 319 - 332.
  10. with R. Hermann. Ordinary differential equations and generalized functions. In: M. Grosser, G. Hörmann, M. Kunzinger, M. Oberguggenberger (Eds.), Nonlinear Theory of Generalized Functions. Chapman & Hall/CRC Research Notes Math. Vol. 401, Boca Raton 1999, 85 - 99.
  11. with F. Russo. White noise driven stochastic partial differential equations: triviality and non-triviality. In: M. Grosser, G. Hörmann, M. Kunzinger, M. Oberguggenberger (Eds.), Nonlinear Theory of Generalized Functions. Chapman & Hall/CRC Research Notes Math. Vol. 401, Boca Raton 1999, 315 - 333.
  12. with F. Russo. Singular limiting behavior in nonlinear stochastic wave equations. In: A. B. Cruzeiro, J.-C. Zambrini (Eds.), Stochastic Analysis and Mathematical Physics, Birkhäuser-Verlag, Basel 2001, 87 - 99.
  13. Generalized functions, nonlinear partial differential equations, and Lie groups. In: R. S. Pathak (Ed.), Geometry, Analysis and Applications. World Sci. Publ., Singapore 2001, 271 - 281.
  14. Symmetry Groups, Nonlinear Partial Differential Equations, and Generalized Functions. In: J. A. Leslie, T. P. Robart (Eds.), Geometrical Study of Differential Equations, AMS Contemp. Math. Vol. 285, Providence, Rhode Island 2001, 101 - 110.
  15. with F. Russo. Fuzzy, probabilistic and stochastic modelling of an elastically bedded beam. In: G. de Cooman, T. Fine, T. Seidenfeld (Eds.), ISIPTA '01, Proceedings of the Second International Symposium on Imprecise Probabilities and Their Applications. Shaker Publishing BV, Maastricht 2001, 293 - 300.
  16. Multiplication of distributions and generalized function algebras. Five items: Multiplication of distributions, Generalized function algebras, Colombeau generalized function algebras, Egorov generalized function algebra, Rosinger nowhere dense generalized function algebra. In: M. Hazewinkel (Ed.), Encyclopedia of Mathematics, Supplement III. Kluwer Acad. Publ., Dordrecht, 2001, pp. 106, 138, 173 - 174, 270 - 271, 337.
  17. with W. Fellin. From probability to fuzzy sets: the struggle for meaning in geotechnical risk assessment. In: R. Pöttler, H. Klapperich, H. F. Schweiger (Eds.), Probabilistics in GeoTechnics: Technical and Economic Risk Estimation. United Engineering Foundation, Verlag Glückauf GmbH, Essen, 2002, 29 - 38.
  18. Fuzzy data in geotechnical models. In: D. Kolymbas (Ed.), Advanced Mathematical and Computational Geomechanics. Springer, Berlin 2003, 301 - 315.
  19. with W. Fellin. Das Problem der Unsicherheit der Versagenswahrscheinlichkeit und mögliche Alternativen. In: M. Ziegler (Ed.), Beiträge zum Workshop Stochastische Prozesse in der Geotechnik. Schriftenreihe Geotechnik im Bauwesen, RWTH Aachen, Heft 1, 2003, 15 - 28.
  20. Rotationally invariant Colombeau generalized functions. In: A. Delcroix, M. Hasler, J.-A. Marti, V. Valmorin (Eds.), Nonlinear Algebraic Analysis and Applications, Proceedings of the International Conference on Generalized Functions (ICGF 2000). Cambridge Scientific Publ., Cottenham 2004, 227 - 236.
  21. Introductory remarks: mathematical models of uncertainty. In: Fuzzy Sets, Imprecise Probability and Stochastics in Engineering. ZAMM 84(2004), 661 - 665.
  22. with W. Fellin. The fuzziness and sensitivity of failure probabilities. In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer-Verlag, Berlin 2004, 33 - 49.
  23. The mathematics of uncertainty: models, methods and interpretations. In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer-Verlag, Berlin 2004, 51 - 72.
  24. Queueing models with fuzzy data in construction management. In: W. Fellin, H. Lessmann, M. Oberguggenberger, R. Vieider (Eds.), Analyzing Uncertainty in Civil Engineering. Springer-Verlag, Berlin 2004, 197 - 210.
  25. Fuzzy and weak solutions to differential equations. Proceedings of the Tenth International Conference IPMU 2004, Perugia. Editrice Università La Sapienza, Italy 2004, 517 - 524.
  26. with A. Tautschnig, R. Feik, M. Leitner and G. Dittrich. Systematik eines praxisgerechten Chancen-Gefahren-Managements. In: H. Lechner, C. Hofstadler, R. Nöstlthaller (Eds.), Baubetrieb- und Bauwirtschaft - Festschrift Prof. Gert Stadler. Verlag der Technischen Universität Graz, Graz 2004, 319 - 335.
  27. with W. Fellin. Assessing the sensitivity of failure probabilities: a random set approach. In: G. Augusti, G.I. Schuëller, M. Ciampoli (Eds.), Safety and Reliability of Engineering Systems and Structures. ICOSSAR 2005 - Rome. Millpress, Rotterdam 2005, 1755 - 1760.
  28. Mathematische Methoden im Risikomanagement. In: R. Feik, W. Gächter (Eds.), Neue Aspekte im projektbezogenen Risikomanagement aus der Sicht von Bauherren, Planern und Ausführenden. Schriftenreihe: Bauwirtschaft und Projektmanagement Nr. 13, Universität Innsbruck, Innsbruck 2006, 33 - 44.
  29. with J. King and B. Schmelzer. Imprecise probability methods for sensitivity analysis in engineering. In: G. de Cooman, J. Vejnarova, M. Zaffalon (Eds.), ISIPTA'07, Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications. Action M Agency, SIPTA, Prague 2007, 317 - 326.
  30. with A. Ostermann and C. Pfeifer. Damage detection of structures by analysing embedded time series of vibration signals. In: J. del Castillo, A. Espinal, P. Puig (Eds.), Proceedings of the 22nd International Workshop on Statistical Modelling. IDESCAT, Barcelona 2007, 504 - 507.
  31. with J. King and B. Schmelzer. Reliability of shell structures through sensitivity analysis. 1st CEAS European Air and Space Conference, Berlin 2007, CD ISSN 0700-408, 1823 - 1832.
  32. with B. Schmelzer and W. Fellin. Sensitivity analysis through random and fuzzy sets. 2008 NAFIPS Conference Proceedings, IEEE Catalog Number CFP08750-CDR, paper number 60606, 2008.
  33. Hyperbolic systems with discontinuous coefficients: generalized wavefront sets. In: L. Rodino, M. W. Wong (Eds.), New Developments in Pseudo-Differential Operators. Birkhäuser, Basel 2008, 117 - 136.
  34. Analyzing Uncertainty in Civil Engineering. In: A. Grmanova, M. Minarik (Eds.), 70 vears of FCE STU, Proceedings of the International Scientific Conference. Slovak University of Technology, Bratislava 2008, CD ISBN 978-80-227-2979-6.
  35. with J. King. Buckling and collapse of shell structures: sensitivity analysis. 2nd International Conference on Buckling and Postbuckling Behaviour of Composite Laminated Shell Structures. Braunschweig 2008. Conference Proceedings (CD), Abstract No. 45, COCOMAT Partners, DLR Braunschweig.
  36. with W. Fellin, J. King, A. Kirsch. Uncertainty modelling and sensitivity analysis of tunnel face stability. In: H. Furuta, D.M. Frangopol, M. Shinozuka (Eds.), Safety, Reliability and Risk of Structures, Infrastructures and Engineering Systems. Proceedings of ICOSSAR2009, CRC Press/Balkema, Leiden 2010, 1299 - 1306.
  37. with T. Fetz. Multivariate Models for Random Sets Generated by Non-parametric Methods. In: H. Furuta, D.M. Frangopol, M. Shinozuka (Eds.), Safety, Reliability and Risk of Structures, Infrastructures and Engineering Systems. Proceedings of ICOSSAR2009, CRC Press/Balkema, Leiden 2010, 1246 - 1253.
  38. with C. Aichinger, B. Caillaud, H. Haller, H. Roth. Simulation tools for assessing the reliability and the design of shell structures. CD-ROM. In: Conference Proceedings, 4th International Conference "Supply on the Wings", Frankfurt 2009. AIRTEC Frankfurt, Paper No. D13.
  39. with W. Fellin. Robust assessment of shear parameters in geotechnics. In: M. Beer, R.L. Muhanna, R.L. Mullen (Eds.), REC2010 - Proceedings of the 4th International Workshop on Reliable Engineering Computing. Research Publishing Services, Singapore 2010, 229 - 240.
  40. with B. Schmelzer and C. Adam, Set-valued processes induced by parametrised stochastic differential equations with an application to Tuned Mass Dampers. Proc. Appl. Math. Mech. 11(2011), 705 - 706.

Preprints

  1. with J. F. Colombeau. Approximate generalized solutions and measure valued solutions to conservation laws. École Normale Supérieure de Lyon, Prépublication 37(1990).
  2. Fuzzy Logik, Statistik, Risiko und Unschärfe. Kurzreferat zum Workshop Alpine Sicherheit - Naturgefahrenmanagement, Universität Innsbruck, Juni 2000. Preprint Series 6-2000, Institut für Technische Mathematik, Geometrie und Bauinformatik.
  3. Beschreibende Statistik - Beispiele für den Unterricht. Preprint Series 4-2003, Institut für Technische Mathematik, Geometrie und Bauinformatik.
  4. Fuzzy-Logik - Was ist das? Preprint Series 5-2003, Institut für Technische Mathematik, Geometrie und Bauinformatik.
  5. On the algebraic dual of D(W). 2004.
  6. Colombeau solutions to nonlinear wave equations. 2006, arXiv.math.AP/0612445.
  7. with C. Garetto. Generalised Fourier integral operator methods for hyperbolic equations with singularities, 2011.
  8. with H. Deguchi and G. Hörmann, The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities, 2012.

     

See also the Preprint Series.




 

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