(mit P. Wittbold, Hrsg.) Analytical and numerical aspects of partial differential equations. de Gruyter, Berlin, 2009.

(mit C. Trunk) Gut vorbereitet in die erste Mathematikklausur. Fachbuchverlag Leipzig im Carl Hanser Verlag, 2007. (weitere Informationen unter www.hanser.de)

Gewöhnliche und Operator-Differentialgleichungen.  Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende. Vieweg Verlag, Wiesbaden, 2004. (weitere Informationen hier; Vorwort und Inhalt unter www.vieweg.de)

Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems. Cuvillier Verlag, Göttingen, 2001. (Zugl. Diss. TU Berlin, Zusammenfassung als PDF)

Variable time-step θ-scheme for nonlinear evolution equations governed by a monotone operator. Calcolo (published online first DOI 10.1007/s10092-009-0007-8) (preliminary version as PDF)

(with M. Thalhammer) Convergence of a time discretisation for doubly nonlinear evolution equations of second order. Foundations of Computational Mathematics (DOI ) (preliminary version as PDF)

External approximation of nonlinear operator equations. Numer. Funct. Anal. Optim. 30 (2009) 5-6, pp. 486-498. (preliminary version as PDF)

(with M. Thalhammer) Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. Math. Comp. 79 (2010), pp. 785-806 (preliminary version as PDF)

Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. BIT 49 (2009), pp. 297-323. ( preliminary version as PDF)

Convergence of a time discretization for a class of non-Newtonian fluid flow. Commun. Math. Sci. 6 (2008) 4, pp. 827-843. (preliminary version as PDF)

Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations. CMAM 9 (2009) 1, pp. 37-62. (preliminary version as PDF)

(with O. Weckner) On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Commun. Math. Sci. 5 (2007) 4, pp. 851-864. (preliminary version as PDF)

(with O. Weckner) Analysis and numerical approximation of an integro-differential equation modelling non-local effects in linear elasticity. Math. Mech. Solids. 12 (2007) 4, pp. 363-384. (preliminary version as PDF)

Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains. CMAM 7 (2007) 2, pp. 135-162. (link to PDF-download from journal homepage )

(with O. Weckner) The peridynamic equation and its spatial discretisation. Math. Model. Anal. 12 (2007) 1, pp. 17-27. (link to PDF-download from journal homepage)

(with R.D. Grigorieff) Supraconvergence of a finite difference scheme for elliptic third kind boundary value problems in fractional order Sobolev spaces. CMAM 6 (2006) 2, pp. 154-177. (link to PDF-download from journal homepage)

(with H. Schmitt) Numerical treatment of a class of optimal control problems arising in economics. Optim. Meth. Software 21 (2006) 5, pp. 746-766. (preliminary version as PDF)

(with O. Weckner) Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar. J. Comput. Appl. Mech. 6 (2005) 2, pp. 311-319. (PDF)

Stability and error of the variable two-step BDF for semilinear parabolic problems.  J. Appl. Math. & Computing 19 (2005) 1-2, pp. 33-55. (PDF)

Error of the two-step BDF for the incompressible Navier-Stokes problem. M2AN 38 (2004) 5, pp. 757-764.  (extended preprint version as PDF)

Stability and convergence of the two-step BDF for the incompressible Navier-Stokes problem. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 3, pp. 199-210. (preprint version as PDF)

Supraconvergence of a non-uniform discretisation for an elliptic third-kind boundary-value problem with mixed derivatives. In: I. Farago, P. Vabishchevich, L. Vulkov (eds.), Finite Difference Methods: Theory and Applications. Proc. Fourth Intern. Conf. FDM: T&A (Lozenetz, Bulgaria, August 2006), Rousse 2007, 6 p.  (preliminary version as PDF)

(with O. Weckner) The peridynamic equation of motion in non-local elasticity theory. In: C. A. Mota Soares et al. (eds.), III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering (Lisbon, June 2006), Springer, 2006, 19 p. (PDF)

(with O. Weckner) The peridynamic model in non-local elasticity theory.  PAMM 6 (2006) 1, pp. 155-156.

Error analysis for the second order BDF discretization of the incompressible Navier-Stokes problem. In: M. Feistauer, R. Rannacher, K. Kozel (eds.), Numerical Modelling in Continuum Mechanics (Proc. of the 4th Summer Conference Prague, August 2000), pp. 98 - 106, Matfyzpress Prag 2001.  (PDF)

(with J. Kaldasch) Mathematical analysis of the primary network effect. March 2007, 14 p. (PDF)

Error of the two-step BDF for the incompressible Navier-Stokes problem. Preprint No. 741, Institut für Mathematik, TU Berlin, August 2002. (PDF)

Quantitative error estimates for the implicit Euler scheme for linear evolutionary problems with rough data. Preprint No. 671, Fachbereich Mathematik, TU Berlin, March 2000. (PDF)

Discrete versions of Gronwall's lemma and their application to the numerical analysis of parabolic problems. Preprint No. 637, Fachbereich Mathematik, TU Berlin, July 1999. (PDF)

Zeitdiskretisierung parabolischer Probleme und Fehlerabschätzungen unter verschiedenen Regularitätsannahmen. In: Preprint MBI-98-1, Universität Magdeburg, Dezember 1997.

Hydrodynamische Stabilität beim instationären Navier-Stokes-Problem. In: Preprint MBI-94-3, Universität Magdeburg, April 1994.

Wirtschaftsmathematik. Skript zur gleichnamigen Lehrveranstaltung an der International Business School (IBS) Berlin, Mai 2004. (PDF)

Analysis von Zeitdiskretisierungen des inkompressiblen Navier-Stokes-Problems. Cuvillier Verlag Göttingen, 2001. (Zugl. Diss. TU Berlin, Zusammenfassung als PDF)

Hyperbolische Erhaltungsgleichungen. Aspekte der analytischen und numerischen Lösung. Diplomarbeit. TU Magdeburg, April 1993.