Publikationen - Papers

  • Über ein System zweidimensionaler singulärer Integralgleichungen nichtnormalen Typs, Wissenschaftliche Zeitschrift der TH Karl-Marx-Stadt 16, Heft 3, (1974), 433-446.
  • Über die Regularisierung eines Systems zweidimensionaler singulärerIntegralgleichungen,dessen Symbol endlich viele Nullstellen ganzzahliger Ordnung besitzt,Dissertation (A), Karl-Marx-Stadt, (1974).
  • Eine Klasse zweidimensionaler singulärer Integralgleichungen nichtnormalen Typs,Wissenschaftliche Schriftenreihe der TH Karl-Marx-Stadt, 5. Tagung über Probleme und Methoden der mathematischen Physik, Heft 2, (1975).
  • Methods of function theory for solution of non-linear partial differential equations,Proc. of the International Summer School of the Academy of Science in GDR held at Berlin 1977, Abhandlungen der AdW der DDR, Nr. 6N, Jahrgang 1978, (1978), 399-402.
  • Analoga zu funktionentheoretischen Sätzen im Rn -Anwendungen auf mehrdimensionale singuläre Integralgleichungen, Beiträge zur Analysis,12, (1978), 113-126.
  • Räumliches Analogon zum komplexen T-Operator, Beiträge zur Analysis, 12, (1978), 127-137.
  • Lösungsdarstellungen einer Klasse spezieller Operatorgleichungen, Mathematische Nachrichten, Band 90,(1979), 135-147. 
  • Taylor- und Laurententwicklungen räumlich verallgemeinerter analytischer Funktionen, Wissenschaftliche Zeitschrift der TH Karl-Marx-Stadt, 21, Heft 7, (1979), 889-894.
  • Eine mehrdimensionale Operatorenrechnung über beschränkten Gebieten des Euklidischen Raumes und ihre Anwendung auf die Lösung von Gleichungen, Dissertation(B), Karl-Marx-Stadt, (1979).
  • Quadratur mehrdimensionaler singulärer Parameterintegrale und ihre Anwendung zur Lösung partieller Differentialgleichungen, Beiträge zur Numerischen Mathematik 8, (1980), 155-166.
  • Anwendung der analytischen Theorie der Quaternionen zur Lösung räumlicher Probleme der linearen Elastizität in beschränkten Gebieten, ZAMM, 59, (1979), 741-743.
  • Constructions of local solutions for Maxwell equations, Proc. of the7th International Summer School held at Berlin 1979, Abhandlungen der AdW der DDR, Jahrgang 1981, nr.2N, (1981), 413-415.
  • Methode der harmonischen Approximation, Beiträge zur Numerischen Mathematik, 9, (1981), 185-193.
  • with K. Gürlebeck: Calculating stresses in three-dimensional bodies, Suppl. ai Rend. di Circ. Mat.di Palermo, Serie II, numero 6, (1984),271-284.
  • Untere Abschätzungen des ersten Eigenwertes spezieller elliptischer Randwertaufgaben, Wissenschaftliche Zeitschrift der TH Leuna-Merseburg, 27,(1985), 556-560.
  • with K. Gürlebeck, M. Tasche: Numerical realization of boundary collocation methods, International Series of Num. Mathematics, Vol. 75,Birkhäuser-Verlag Basel, (1985), 206-217.
  • with K. Gürlebeck: Untere Eigenwertabschätzungen, Preprint Nr. 3 der TH Karl-Marx-Stadt, (1986), 1-15.
  • with K. Gürlebeck: A Unified Approach to Estimation of Lower Bounds for the First Eigenvalue of Several Elliptic Boundary Value Problems, Mathematische Nachrichten, 131, (1987), 183-199.
  • with K.Gürlebeck, A.Schürer: Application of Boundary Collocation Methods in Physics and Engineering, Wissenschaftliche Zeitschrift der TH Karl-Marx-Stadt, 28, Festband 150. Jahre Ingenieurausbildung, Heft 2, (1986), 168-174.
  • with K. Gürlebeck: A generalized Leibniz rule and a discrete quaternionic analysis, Suppl. ai Rend. del Circ. Mat. di Palermo, Serie II,num.16, (1987), 44-64.
  • with K. Gürlebeck: An application of quaternionic analysis to the solution of time-independent Maxwell equations and of Stokes' equations,Suppl. ai Rend. del Circ. Mat. di Palermo, Serie II, num. 14, (1987), 61-78.
  • with K. Gürlebeck:Methods of Quaternionic Analysis and Numerical Consideration of Boundary Value Problems, Seminar Ananlysis of Academy of Science of the GDR, (1989), 12-42.
  • with K. Gürlebeck:A quaternionic treatment of Navier-Stokes equations, Suppl. ai Rendiconti del circolo Matematico di Palermo, Serie II, numero 22, (1989), 77-95.
  • with K. Gürlebeck:On eigenvalue estimates of nonlinear Stokes eigenvalue problems, In: A. Micali et al.; Clifford Algebras and their Applications in Mathematical Physics, Kluwer Academic Publishers, (1992), 327-333.
  • Quaternionic operator calculus and domain perturbation problems,In: F.Brackx et al.; Clifford Algebras and their Applications in Mathematical Physics, Kluwer Academic Publishers, (1993), 233-240.
  • On a class of non-linear boundary and eigenvalue problems, In: R. Kühnau and W.Tutschke; Boundary value and initial value problems in complex analysis: studies in complex analysis and its applications to partial differential equations 1, Pitman Research Notes in Math., Vol. 256, (1991), 135-141.
  • with K. Gürlebeck:Clifford Analysis and Elliptic Boundary Value Problems,In: R. Ablamowicz and P. Lounesto; Clifford Algebras and Spinor structures, Kluwer Academic Publishers, (1995) 325-334.
  • Representation formulae of solutions of boundary value problems with Clifford analysis methods, Preprint 95-06 der TU-Bergakademie Freiberg, (1995), 1-30.
  • with E. Venturino:The Treatment of Window Problems by Transform Methods, ZAA, Vol. 12, (1993), 643-654.
  • with K. Gürlebeck, U. Wimmer:Hypercomplex Function theory for consideration of non-linear Stokes problems with variable viscosity, Complex Variables, Vol. 22, (1993), 195-202.
  • On the treatment of non-linear boundary value problems of a disturbed Dirac equation by hypercomplex methods, Complex Variables, (1993), Vol. 23, 123-130.
  • with K. Gürlebeck:On the treatment of fluid problems by methods of Clifford analysis,Proceedings to the IMACS-COST Conference held at Lausanne in 1995, In: M. Deville, S. Gavrilakis,I.L.Ryhming (eds.): Notes on Numerical Fluid Mechanics, Vol. 53, Vieweg-Verlag, Braunschweig (1996), 304-310.
  • On decompositions of the Clifford valued Hilbert space and their applications to boundary value problems(1995), Advances in Applied Clifford Algebras, Vol. 5, 167-186.
  • with K. Gürlebeck, U. Kähler and J. Ryan: Clifford Analysis over Unbounded Domains, (1997), Advances in Applied Mathematics 19, 216 - 239.
  • Boundary Value Problems Treated with Methods of Clifford Analysis, (1998), Contemporary Mathematics, Vol. 212, 255-268.
  • On a class of non-linear boundary value problems, (1998), In: V.Dietrich, K. Habetha and G. Jank (eds.) - Clifford Algebras and Their Applications in Mathematical Physics, Kluwer Academic Publishes, 383-389.
  • with K. Gürlebeck: Methods of quaternionic analysis for the treatment of non-linear boundary value problems, In: T. M. Rassias: "Recent trends in Mathematical Analysis and Applications", accepted.
  • On the treatment of classes of non-linear boundary value and extension problems by Clifford algebraic methods (1998), In: J. Ryan, D. Struppa: Dirac operator in Analysis, Pitman Research Notes, Mathematical Series 394, 58-74.
  • Operators in Clifford algebras and applications, Proceedings of the Conference "Dirac operators and applications" held at Cetraro October 4-10 1998, Advances in Clifford Algebras.
  • On operators and elementary functions, ZAA, Vol. 18 (1999), No. 2, 349-360.
  • Teodorescu type transforms (TT) in applications, in F. Brackx et all (eds.): Clifford Analysis and its Application (2000), Kluwer Academic Publishers, 341-360
  • with H. Schaeben, G. van den Boogart: Spherical X-Ray Transform of Texture Goniometry, in F. Brackx et all (eds.): Clifford Analysis and its Application, Kluwer Academic Publishers, 283-291
  • with H. Bahmann, K.Gürlebeck, M. Shapiro: On a modified Teodorescu Transform (2001), Integral Transforms and Special Functions, Vol. 12 No. 3, 213-226 (also as Preprint 1, Bauhaus-Universität Weimar, Professur für Angewandte Mathematik)
  • Quaternionic Analysis in Fluid Mechanics (2000), In: J. Ryan / W. Sprößig "Clifford Algebras and their Applications in Mathematical Physics", Vol. 2, Clifford-Analysis, Birkhäuser, Progress in Physics, 37-54.
  • Clifford analysis and its applications in mathematical physics, 2002, Cubo (Chile), Vol. 4, No. 2 (54 pages).
  • Eigenvalue Problems in the Framework of Clifford Analysis, Advances in Applied Clifford Algebras Vol. 11(S2), 301-316, 2001 
  • On Generalized Vekua Type Problems, Advances in Applied Clifford Algebras 11(S) 77-92 (2001)
  • with K.Gürlebeck, M. Shapiro: On the Teodorescu transform for a class of metaharmonic functions, Journal of Natural Geometry (London), Vol. 21, 17-38, 2002.
  • with E. Venturino: An alternative approach for solving Maxwell's equations (2002), J. Levesley, I.J. Anderson, J.C. Mason (eds.) , Algorithms for Approximation IV, Proceedings of the 2001 International Symposium, University of Huddersfield, Queensgate, Huddersfield HD1 3DH, UK, 110 -- 118.
  • with K. Guerlebeck, Representation theory for classes of initial value problems with quaternionic analysis, (2002) Mathematical Methods in the Applied Sciences,25: 1371 -- 1382.
  • with F. Sommen Introduction to Clifford analysis, MMAS,25 16--18, 1337--1342, 2002.
  • Maxwell's equations in Clifford calculus framework - an overview on the development (2004), In: LeHung Son (ed.) et al ''Finite or infinite dimensional complex analysis and applications'', Proc. of the International Conference, Hanoi, Vietnam August 8-12, 2001, Boston MA, Kluwer Acad. Publ. Adv. Compl. Analys. Appl. 2, 85 -- 100.  
  • with Xinhua Ji: Global stability for the n-species Lotka-Volterra Tree Systems of Interacting Population-Diffusion Equations (2004), Journal of Dynamical Systems and geometric theories, Vol 2, November 2004.  
  • Quaternionic analysis and Maxwell's equations (2005),Cubo, A mathematical Journal, Vol 7, Nr.2, 57 -- 67.
  • Quaternionic operator Methods in Fluid Dynamics (2005), accepted for publication.
  • with D. Constales, K. Gürlebeck, S. Krausshar: Applications of quaternionic analysis in Engineering (2006), in: 17th International Conference on the Application of Computer Science and Mathematics in Architecture and Civil Engineering IKM 2006, 12.-14. July 2006, Weimar, Germany, [eds. K. Gürlebeck, C. Könke].
  • Fluid flow equations with variable viscosity in quaternionic setting (2007), Advances in Applied Clifford Algebras 17, Birkhäuser Basel, 259 -- 272.
  • Toroidal flows (2007), AIP Conference Proceedings 936, ‘’Numerical analysis and applied mathematics’’, American Institute of Physics, 769 – 774.
  • with K. Gürlebeck: Clifford algebras in Mathematics and Applied Sciences (2007), AIP Conference Proceedings 936, ‘’Numerical analysis and applied mathematics’’, American Institute of Physics, 709 – 710.
  • Quaternionic Operator Methods in Fluid Dynamics (published online 16. June 2008), Advances in Applied Clifford Algebras, Birkhäuser Basel.

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