Reinhard Hochmuth/Publikationen

• How to support students-learning in mathematical bridging-courses using ITS? Remedial Scenarios in the EU-Project Math-Bridg. Eingereicht (mit J. Jeuring, R. Biehler, P. Fischer, T. Wassong).
• A generalization of Lions nonoverlapping domain decomposition method for monotone quasilinear PDEs. Eingereicht (mit S. Schreiber).
• Designing and evaluating blended learning bridging courses in mathematics. Eingereicht (mit R. Biehler, P. Fischer, T. Wassong).
• CD Multimediavorkurs MathematiK. Version 3.2, Kassel 2010. (mit R. Biehler et al.)
• Self-regulated learning and self assessment in online bridging courses. Eingereicht in Teaching Mathematics Online: Emergent Technologies and Methodologies (mit R. Biehler, P. Fischer, T. Wassong).
• ELearning in mathematischen Vorkursen mit Beispielen zur Analysis. In: Zur Zukunft des Analysisunterrichts vor dem Hintergrund der Verfügbarkeit neuer Medien (und Werkzeuge). Im Druck. (mit P. Fischer)
• On the equivalence of transmission problems in nonoverlapping domain decomposition methods for quasilinear PDEs. Erscheint in Numerical Functional Analysis and Optimization (mit S. Schreiber)
• Pedagogical Remedial Scenarios. Math-Bridge, Deliverable D-1.3 (2010) (mit R. Biehler, P. Fischer, T. Wassong).
• Mathematiklehrerausbildung zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vorwissen und Einstellungen zur Mathematik. Beiträge zum Mathematikunterricht (2010) (mit R. Biehler, K. Eilerts, M. Hänze)
• Schnittstellenaktivität “Mathematische Brückenkurse”. Beiträge zum Mathematikunterricht (2010) (mit R. Biehler, W. Koepf)
• Modellierungskompetenzen von Lehramtsstudierenden im Kontext funktionaler Fragestellungen - Eine Untersuchung bei angehenden Haupt- und Realschullehrern der Fachrichtung Mathematik. (Bedingt) angenommen beim JMD (mit A. Jordan)
• Considerations on Basic Issues Concerning Research on “Content Knowledge in Teacher Education”. Proceedings of the Sixth International Education and Society Conference, 20th – 25th March 2010, Berlin (2010), 95-98.
• Target Competences. Math-Bridge, Deliverable D-1.1 (2009) (mit R. Biehler, P. Fischer, T. Wassong)
• Modellierungskompetenzen von Lehramtsstudierenden im Kontext funktionaler Fragestellungen unter Berücksichtigung von Intelligenz und Volition. Beiträge zum Mathematikunterricht (2009) (mit A. Jordan).
• Homogenization for a nonlocal coupling problem. Appl. Anal. 87 (2008), 1311-1323.
• Anisotropic wavelet bases and thresholding. Mathematische Nachrichten Vol. 280 (5-6) (2007), 523-533.
• Multiscale analysis for the bio-heat-transfer equation – the nonisolated case. Math. Models Methods Appl. Sci. 14 (2004), 1621-1634 (with P. Deuflhard).
• Wavelet decompositions of L2-Functionals. Appl. Anal. 83 (2004), 1187-1209 (with H. Haf).
• Wavelet characterization for anisotropic Besov spaces with 0<p<1. Proc. of the Edinburgh Math. Soc. 47 (2004), 573-595 (with G. Garrigos, A. Tabacco).
• Multiscale analysis of thermoregulation in the human microvascular system. Math. Meth. in the Appl. Sci. 27 (2004), 971-989 (with P. Deuflhard).
• Anisotropic wavelet bases and restricted nonlinear approximation. Proc. Appl. Math. Mech. 3 (2003), 446-449.
• On the Thermoregulation in the human microvascular system. Proc. Appl. Math. Mech. 3 (2003), 378--379 (with P. Deuflhard)
• A Besov space mapping property for the double layer potential on polygons. Appl. Anal. 81 (2002), 153-162.
• N-term approximation in anisotropic function spaces. Mathematische Nachrichten Vol. 244(1) (2002), 131-149.
• Restricted nonlinear approximation and singular solutions of boundary integral equations. Approximation Theory Appl. Vol. 18, No.1 (2002), 1-25.
• Wavelet characterizations of anisotropic Besov spaces. Appl. Comput. Harmon. Anal. 12 (2002), 179-208.
• A localized boundary element method for the floating body problem. IMA J. Numerical Anal. 21 (2001), 799-816.
• Nonlinear anisotropic boundary value problems - regularity results and multiscale discretizations. Nonlinear Analysis: Series A Theory and Methods 46 (2001), 1-18.
• Tensor products of Sobolev spaces, approximation spaces and applications. SFB 256, Report 685, University Bonn (2000) (with S. Knapek, G. Zumbusch).
• Adaptive wavelet methods for saddle point problems. M2AN 34, No. 5 (2000), 1003-1022 (with S. Dahlke, K. Urban).
• A hypersingular integral equation for the floating body problem. Appl. Anal. 74, No. 1-2 (2000), 57-70.
• Adaptive wavelet methods for the Stokes problem. In Multigrid Methods VI, E. Dick, K. Riemslagh, J. Vierendeels (eds.), Springer-Verlag (2000), 66-72 (with S. Dahlke, K. Urban).
• Restricted nonlinear approximation. Constr. Approx. 16 (2000), 85--113 (with A. Cohen, R. DeVore).
• Wavelets in Numerical Analysis and Restricted Nonlinear Approximation. Habilitation-Thesis (1999).
• Anisotropic Besov spaces and wavelets. In: Proceedings of the International Wavelet Conference, Tanger, April 13-17, INRIA report (1998).
• Stable multiscale discretizations for saddle point problems and preconditioning. Numer. Funct. Anal. and Optimiz. 19 (1998), 789-806.
• A-posteriori estimates and adaptive schemes for transmission problems. Journal of Integral Equations and Applications 10 (1998), 1-50.
• A phi-transform result for spaces with dominating mixed smoothness properties. Result. Math. 33 (1998), 106--119.
• Stable multiscale bases and local error estimation for elliptic problems. Applied Numerical Mathematics 23 (1997), 21-48 (with S. Dahlke, W. Dahmen, R. Schneider).
• Finite element method for calculating power frequency 2-dimensional electromagnetic field distribution in ferromagnetic materials. IEEE Transaction on Magnetics Vol. 32 No. 3 (1996), 792-795 (with K. Doppel, J. Elsner).
• A non-linear singular integral equation model for hysteresis in magnetostatics. IEEE Transactions on Magnetics Vol. 32 No. 3 (1996), 678-681 (with K. Doppel).
• Adaptive schemes for multiscale discretizations of boundary integral equations.} In Boundary Elements -- Implementation and Analysis of Advanced Algorithms (W. Hackbusch and G. Wittum, Eds.), Notes on Numerical Fluid Mechanics 54 (1996), 136-146.An inhomogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator. Ann. Acad. Sci. Fenn. A.I. Math. 21 (1996), 179-187.An application of the limiting absorption principle to a mixed boundary value problem in an infinite strip. Math. Meth. in the Appl. Sci. 18 (1995), 529-548 (with K. Doppel).
• Entwicklung neuer numerischer Verfahren zur Lösung elektrischer und magnetischer Feldprobleme. FU Berlin, FB Mathematik, Preprint Nr. A--19-94 (in German, 1994) (with K. Doppel, G. Duelen, A. Lisounkin, H. Zander).
• On the regularity of solutions of a homogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator. Ann. Acad. Sci. Fenn. A.I. Math. 16 (1991), 183-198 (with K. Doppel).
• Vektormathematisches Modell zur Analyse komplexer Bewegungen im dreidimensionalen Raum am Beispiel der durchtrennten Symphyse. Biomed. Technik 36 (in German, 1991) (with A. Meissner).
• Regularitätsresultate für ein Randwertproblem einer nicht-hypoelliptischen linearen partiellen Differentialgleichung. Ph.D.-Thesis, FU Berlin (in German, 1989).
• Zur Konvergenz eines Finite Element Verfahrens für das abgeschnittene Problem des schwimmenden Körpers. FU Berlin, FB Mathematik, Preprint Nr. 89/13 (in German, 1989) (with K. Doppel, B. Schomburg).
• Die Finite-Element-Methode für ein nichthypoelliptisches Dirichletproblem. Diplom-Thesis (in German,1987)