Prof. Dr. Jens Lang
Numerics of partial differential equations
Contact
lang@mathematik.tu...
work +49 6151 1623160
fax +49 6151 1623164
Work
S410 102
Dolivostraße 15
64293
Darmstadt
Research
 Adaptivity, (stochastic) FEM and FVM, moving and anisotropic meshes
 A posteriori error estimation and global error control
 Linearly implicit time integrators for stiff problems
 Adaptive large eddy simulation in reactive flows
 ODE and PDE constrained optimal control
 Modelling, simulation and optimization of water/gas networks
 Uncertainty quantification with random PDEs
 Model order reduction and machine learning
News
WCCM2024, 16th World Congress on Computational Mechanics, Vancouver, Canada, 2126 July, 2024 
Editorial Boards
Editor of the Journal Applied Numerical Mathematics, 20062022 
Technische Universität Darmstadt  
SS2023 
Introduction to Mathematical Modelling Numerics of Hyperbolic Equations Stochastic Finite Elements Master Seminar on Numerics 
WS2022/23 
Numerics of PDEs Bachelor Seminar on Numerics 
SS2022 
Introduction to Mathematical Modelling Numerical Linear Algebra Bachelor Seminar on Numerics 
WS2021/22 
Numerics of ODEs Numerics of Hyperbolic Equations 
SS2021  on sabbatical 
WS2020/21 
Introduction to Numerics Master Seminar on Numerics 
SS2020 
Numerics of Hyperbolic Equations Stochastic Finite Elements Master Seminar on Numerics 
WS 2019/20 
Numerics of PDEs Bachelor Seminar on Numerics 
SS 2019 
Introduction to Mathematical Modelling Stochastic Finite Elements Bachelor Seminar on Numerics 
WS 2018/19 
Numerics of ODEs Bachelor Seminar on Numerics 
SS 2018 
Numerical Linear Algebra Numerics of Hyperbolic Equations Bachelor Seminar on Numerics 
WS 2017/18 
Introduction to Numerics Bachelor/Master Seminar on Numerics 
SS 2017  on sabbatical 
WS 2016/17 
Theory of ODEs/PDEs for Mechanical Engineers Numerics of Hyperbolic Equations Bachelor/Master Seminar on Numerics 
SS 2016 
Introduction to Mathematical Modelling Master Seminar on Numerics 
WS 2015/16  Numerics of PDEs 
SS 2015 
Numerics of Hyperbolic Equations Bachelor/Master Seminar on Numerics 
WS 2014/15 
Introduction to Numerics Bachelor/Master Seminar on Numerics 
SS 2014 
Numerics for Mechanical Engineers Bachelor/Master Seminar on Numerics 
WS 2013/14 
Numerics of Evolutionary Equations Bachelor/Master Seminar on Numerics Proseminar Introduction to Mathematical Modelling 
SS 2013  on sabbatical 
WS 2012/13 
Theory of ODEs/PDEs for Mechanical Engineers Numerics of ODEs Bachelor/Master Seminar on Numerics 
SS 2012 
Numerics of Hyperbolic Equations Numerics of Large Stiff ODEs Bachelor/Master Seminar on Numerics 
WS 2011/12 
Introduction to Numerics Numerics of Parabolic Equations Bachelor/Master Seminar on Numerics 
SS 2011 
Numerics for Mechanical Engineers Numerics of Elliptic Equations Bachelor/Master Seminar on Numerics 
WS 2010/11 
Theory of ODEs/PDEs for Mechanical Engineers Numerics of ODEs Bachelor/Master Seminar on Numerics 
SS 2010 
Numerics for Mechanical Engineers Numerics of Parabolic Equations Bachelor/Master Seminar on Numerics 
WS 2009/10 
Introduction to Numerics Numerics of Hyperbolic Equations Bachelor/Master Seminar on Numerics 
SS 2009  on sabbatical 
WS 2008/09 
Numerics for Engineers and Physicists Proseminar: Proofs from THE BOOK 
SS 2008 
Numerics for Mechanical Engineers Seminar Scientific Computing 
WS 2007/08 
Introduction to Numerics Theory of ODEs/PDEs for Mechanical Engineers Seminar Scientific Computing 
SS 2007 
Introduction to Mathematical Modelling Numerics of Evolutionary Equations 
WS 2006/07 
Numerics of Elliptic PDEs Seminar Scientific Computing 
SS 2006 
Numerics of ODEs How to solve it? 
WS 2005/06 
Introduction to Numerics Seminar Scientific Computing Seminar Mathematical Modelling 
SS 2005  on sabbatical 
WS 2004/05 
Seminar Scientific Computing Seminar Mathematical Modelling Numerics for Information Scientists/CE 
SS 2004 
Seminar: A Posteriori Error Estimates Numerics for Mechanical Engineers 
WS 2003/04 
Numerics of Stiff Differential Equations Seminar Mathematical Modelling 
SS 2003 
Numerics of Parabolic and Hyperbolic PDEs Modelling and Solving Practical Problems 
WS 2002/03 
Numerics of Elliptic PDEs Seminar Mathematical Modelling 
SS 2002 
Numerics of ODEs Modelling and Solving Practical Problems 
WS 2001/02 
Introduction to Numerics Seminar Mathematical Modelling 
Potsdam Institute for Climate Impact Research  
SS 2000  Introduction to Numerics of PDEs 
MartinLuther University HalleWittenberg  
WS 2000/01 
Numerics I Adaptive Solution of Parabolic Differential Equations Seminar Numerics of Differential Equations 
Berlin University of Technology  
WS 1999/00  Numerics for Computer Scientists 
Free University Berlin  
SS 2001 
Theory and Numerics of DAEs Introduction to Numerics of PDEs Introduction to Numerics of ODEs 
WS 2000/01  Theory and Numerics of ReactionDiffusionEquations 
SS 1999  Is Fluid Dynamics Predictable? 
WS 1997/98 
Numerics of PDEs: Bases of Functional Analysis Numerics of PDEs: Programming and Simulation 
SS 1997  Numerics of PDEs: ReactionDiffusionSystems and FEM 
WS 1996/97  Introduction to Numerics of PDEs 
KARDOS
Software Package for Solving Nonlinear Evolution Problems
Copyright (C) 19972001 ZIB Berlin. All rights reserved.
Copyright (C) 20012023 Prof. Lang & ZIB Berlin. All rights reserved.
The code KARDOS was originally developed at ZIB Berlin to solve systems of nonlinear mixed parabolicelliptic partial differential equations by means of adaptive space and time discretizations. Linearly implicit onestep methods of Rosenbrock type are coupled with standard Finite Elements of various orders. KARDOS uses unstructured grids in one, two, and three space dimensions.
A large proportion of the current work is carried out in close collaboration with ZIB Berlin. Extensions that we are working on include: incorporation of computational fluid dynamics (CFD), optimisation and moving finite elements.
An older onedimensional version of KARDOS can be downloaded. More informations on what type of problems can be solved and how to work with KARDOS are provided in the KARDOS User's Guide (appeared as report ZR0242 of ZIB Berlin).
Although this software is mainly used for scientific and educational purposes, we are interested in coorperations with external organisations (industry, goverment research laboratories, etc) or other university departments (particularly engineering departments).
University Education 

1999  Habilitation in Mathematics, Freie Universität Berlin 
1988  Dissertation (Dr. rer. nat) in Mathematics, MartinLutherUniversität HalleWittenberg 
1986  Diploma Degree Mathematics, MartinLutherUniversität HalleWittenberg 
1984 – 1985  Studied Mathematical Physics, State University of St. Petersburg, Russia 
1981 – 1986  Studied Mathematics, MartinLutherUniversität HalleWittenberg 
Professional Experience 

2014 – 2016  Dean, Department of Mathematics, Technische Universität Darmstadt 
2009, 2013  Visiting CWI, Amsterdam, The Netherlands 
2008  Visiting The University of Auckland, New Zealand 
2008, 2012  Visiting The University of Kansas Lawrence, Kansas, US 
2005 
Visiting CWI, Amsterdam, The Netherlands 
since 2001  Professor (C4/W3) at Technische Universität Darmstadt, Department of Mathematics 
2000 – 2001  Acting as Professor at MartinLutherUniversität HalleWittenberg 
1999  Visiting Simon Fraser University Vancouver B.C., Canada 
1999 – 2001  Private Lecturer, Freie Universität Berlin 
1994 – 2001  Research Scientist of Scientific Software Group, ZuseInstitute Berlin 
1990 – 1994  PostDoc, ZuseInstitute Berlin 
1988 – 1990  Assistant Lecturer, Research Follow, MartinLutherUniversität HalleWittenberg 
Professional Activities 

2014 – 2018  Vice Spokesperson of Collaborative Research Center SFB/Transregio 154 
2007 – 2019  Principal Investigator and Vice Dean for Ph.D. Studies at Excellence Graduate School of Computational Engineering, Technische Universität Darmstadt 
2006 – 2022  Editor of Applied Numerical Mathematics (Elsevier) 
Awards, Honors and Offers 

2019  Berlin Research Award for Alternatives to Animal Experiments 
2006  Offer for Full Professorship at Technische Universität Chemnitz 
2001  Offer for Full Professorship at Technische Universität Darmstadt 
1985  Ph.D. Research Grant, MartinLutherUniversität HalleWittenberg 
1984 – 1985  Student Award, MartinLutherUniversität HalleWittenberg 
SFB/TRR154: Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks, 20142026
SFB/TRR146: Multiscale Simulation Methods for SoftMatter Systems, 20142026