Books (for more information see also here)

E. Emmrich and P. Wittbold (Eds.)
Analytical and Numerical Aspects of Partial Differential Equations: Notes of a Lecture Series
de Gruyter, Berlin, 2009

E. Emmrich und C. Trunk
Gut vorbereitet in die erste Mathematikklausur
Fachbuchverlag Leipzig im Carl Hanser Verlag, 2007

E. Emmrich
Gewöhnliche und Operator-Differentialgleichungen:
Eine integrierte Einführung in Randwertprobleme und Evolutionsgleichungen für Studierende
Vieweg Verlag, Wiesbaden, 2004

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


Refereed Journals

E. Emmrich and D. Šiška
Full discretization of the porous medium/fast diffusion equation based on its very weak formulation
Accepted for publication in Commun. Math. Sci.
(preliminary version as PDF)

E. Emmrich and M. Thalhammer
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretisation
Nonlinearity 24 (2011), pp. 2523-2546
(link to journal) (preliminary version as PDF)

E. Emmrich and D. Šiška
Full discretization of second-order nonlinear evolution equations: strong convergence and applications
Comput. Methods Appl. Math. 11 (2011) 4, pp. 441-459
(link to journal) (preliminary version as PDF)

E. Emmrich and M. Thalhammer
Doubly nonlinear evolution equations of second order: Existence and fully discrete approximation
J. Differential Equations 251 (2011), pp. 82-118
(link to journal) (preliminary version as PDF)

E. Emmrich
Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method
BIT Numer. Math. 51 (2011) 3, pp. 581-607
(link to journal) (preliminary version as PDF)

E. Emmrich and M. Thalhammer
Convergence of a time discretisation for doubly nonlinear evolution equations of second order
Found. Comput. Math. 10 (2010) 2, pp. 171-190
(link to journal) (preliminary version as PDF)

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

E. Emmrich
Variable time-step θ-scheme for nonlinear evolution equations governed by a monotone operator
Calcolo 46 (2009) 3, pp. 187-210.
(link to journal) (preliminary version as PDF)

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

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

E. Emmrich
Two-step BDF time discretisation of nonlinear evolution problems governed by monotone operators with strongly continuous perturbations
Comput. Methods Appl. Math. 9 (2009) 1, pp. 37-62
(link to journal) (PDF)

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

E. Emmrich and 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
(link to journal) (preliminary version as PDF)

E. Emmrich and 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
(link to journal) (preliminary version as PDF)

E. Emmrich
Supraconvergence and supercloseness of a discretisation for elliptic third-kind boundary-value problems on polygonal domains
Comput. Methods Appl. Math. 7 (2007) 2, pp. 135-162
(link to journal) (PDF)

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

E. Emmrich and R. D. Grigorieff
Supraconvergence of a finite difference scheme for elliptic third kind boundary value problems in fractional order Sobolev spaces
Comput. Methods Appl. Math. 6 (2006) 2, pp. 154-177
(link to journal) (PDF)

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

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

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

E. Emmrich
Error of the two-step BDF for the incompressible Navier-Stokes problem
M2AN Math. Model. Numer. Anal. 38 (2004) 5, pp. 757-764
(link to journal) (extended preprint version as PDF)

E. Emmrich
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
(preliminary version as PDF)


Proceedings

E. Emmrich
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
(preliminary version as PDF)

E. Emmrich and 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)
(link to proceedings) (preliminary version as PDF)

E. Emmrich and O. Weckner
The peridynamic model in non-local elasticity theory
PAMM 6 (2006) 1, pp. 155-156
(link to journal)

E. Emmrich
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
(preliminary version as PDF)


Preprints and submitted papers

E. Emmrich and A. Wróblewska
Convergence of a full discretization of quasilinear parabolic equations in isotropic and anisotropic Orlicz spaces
February/November 2011, 21 p. (PDF)

E. Emmrich and V. Mehrmann
Analysis of operator differential-algebraic equations arising in fluid dynamics. Part I. The finite dimensional case
Preprint 12-2010, Institut für Mathematik, Technische Universität Berlin, May 2010, 15 p. (PDF)

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

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

E. Emmrich
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)

E. Emmrich
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)

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

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


Lecture Notes

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


Theses

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

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