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* How to support students-learning in mathematical bridging-courses using ITS? Remedial Scenarios in the EU-Project Math-Bridg. Eingereicht (mit [[J. Jeuring]], [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]]).
* CD Multimediavorkurs MathematiK. Version 3.2, Kassel 2010. (mit [[Rolf Biehler|R. Biehler]] et al.)
* Self-regulated learning and self assessment in online bridging courses. Eingereicht in Teaching Mathematics Online: Emergent Technologies and Methodologies (mit [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|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 [[Pascal Fischer|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]]).
* Mathematiklehrerausbildung zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vorwissen und Einstellungen zur Mathematik. Beiträge zum Mathematikunterricht (2010) (mit [[Rolf Biehler|R. Biehler]], [[Katja Eilerts|K. Eilerts]], [[M. Hänze]])
* Schnittstellenaktivität “Mathematische Brückenkurse”. Beiträge zum Mathematikunterricht (2010) (mit [[Rolf Biehler|R. Biehler]], [[Wolfram Koepf|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]])
* Modellierungskompetenzen von Lehramtsstudierenden im Kontext funktionaler Fragestellungen unter Berücksichtigung von Intelligenz und Volition. Beiträge zum Mathematikunterricht (2009) (mit [[Alexander Jordan|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 [[Peter Deuflhard|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)
Reinhard Hochmuth/Publikationen (Quelltext anzeigen)
Version vom 1. Juli 2014, 11:32 Uhr
, 11:32, 1. Jul. 2014Die Seite wurde neu angelegt: „ * How to support students-learning in mathematical bridging-courses using ITS? Remedial Scenarios in the EU-Project Math-Bridg. Eingereicht (mit [[J. Jeuring]…“
* How to support students-learning in mathematical bridging-courses using ITS? Remedial Scenarios in the EU-Project Math-Bridg. Eingereicht (mit [[J. Jeuring]], [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]]).
* CD Multimediavorkurs MathematiK. Version 3.2, Kassel 2010. (mit [[Rolf Biehler|R. Biehler]] et al.)
* Self-regulated learning and self assessment in online bridging courses. Eingereicht in Teaching Mathematics Online: Emergent Technologies and Methodologies (mit [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|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 [[Pascal Fischer|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]]).
* Mathematiklehrerausbildung zum Studienbeginn: Eine empirische Studie zu Studienmotivation, Vorwissen und Einstellungen zur Mathematik. Beiträge zum Mathematikunterricht (2010) (mit [[Rolf Biehler|R. Biehler]], [[Katja Eilerts|K. Eilerts]], [[M. Hänze]])
* Schnittstellenaktivität “Mathematische Brückenkurse”. Beiträge zum Mathematikunterricht (2010) (mit [[Rolf Biehler|R. Biehler]], [[Wolfram Koepf|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 [[Rolf Biehler|R. Biehler]], [[Pascal Fischer|P. Fischer]], [[Thomas Wassong|T. Wassong]])
* Modellierungskompetenzen von Lehramtsstudierenden im Kontext funktionaler Fragestellungen unter Berücksichtigung von Intelligenz und Volition. Beiträge zum Mathematikunterricht (2009) (mit [[Alexander Jordan|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 [[Peter Deuflhard|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)