# Prof. Dr. Jens Lang

Numerics of partial differential equations

Work
Dolivostraße 15

64293
Darmstadt

Office: S4|10 102

work +49 6151 16-23160

fax +49 6151 16-23164

lang@mathematik.tu-...

## 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
- Optimal control with PDEs
- Modelling, simulation and optimization of water/gas networks
- Uncertainty quantification with random PDEs
- Model order reduction

## News

The 2019 American Society of Thermal and Fluids Engineers (ASTFE) Conference, Las Vegas, April 14-17, 2019 |

Towards Computable Flows, Workshop at the University of Goettingen on the occasion of the 68th birthday of Gert Lube, Göttingen, April 26-27, 2019 |

ADMOS 2019, International Conference on Adaptive Modeling and Simulation, El Campello (Alicante), Spain, May 27-29, 2019 |

UNCECOMP 2019, 3rd ECCOMAS International Conference on Uncertainty Quantification in Computational Sciences and Engineering, Crete, June 24-26, 2019 |

ICIAM 2019, International Congress on Industrial and Applied Mathematics, Valencia, Spain, 15-19 July 2019 |

SciCADE 2019, International Conference on Scientific Computation and Differential Equations, Innsbruck, Austria, 22-26 July 2019 |

MULTIMAT 2019, International Conference on Numerical Methods for Multi-Material Fluid Flow, Trento, September 9-13, 2019 |

ENUMATH 2019, European Conference on NUmerical Mathematics and Advanced Applications, Egmond aan Zee, The Netherland, September 30 – October 4, 2019 |

APCOM 2019, Asia Pacific Congress on Computational Mechanics, Taipai, December 18-21, 2019 |

SIAM Conference of Optimization, Hong Kong, May 26-29, 2020 |

WCCM 2020, World Congress on Computational Mechanics, Paris, July 19-24, 2020 |

## Editorial Boards

Editor of the Journal Applied Numerical Mathematics. |

## ›Publications

## Courses

Technische Universität Darmstadt
| |

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 |

Martin-Luther University Halle-Wittenberg
| |

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 Reaction-Diffusion-Equations |

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: Reaction-Diffusion-Systems and FEM |

WS 1996/97 | Introduction to Numerics of PDEs |

## Software

### KARDOS

Software Package for Solving Non-linear Evolution Problems

Copyright (C) 1997-2001 ZIB Berlin. All rights reserved.

Copyright (C) 2001-2018 Prof. Lang & ZIB Berlin. All rights reserved.

The code KARDOS was originally developed at ZIB Berlin to solve systems of non-linear mixed parabolic-elliptic partial differential equations by means of adaptive space and time discretizations. Linearly implicit one-step 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 one-dimensional 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 ZR-02-42 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).

## Links

## CV

University Education
| |

1999 | Habilitation in Mathematics, Freie Universität Berlin |

1988 | Dissertation (Dr. rer. nat) in Mathematics, Martin-Luther-Universität Halle-Wittenberg |

1986 | Diploma Degree Mathematics, Martin-Luther-Universität Halle-Wittenberg |

1984 – 1985 | Studied Mathematical Physics, State University of St. Petersburg, Russia |

1981 – 1986 | Studied Mathematics, Martin-Luther-Universität Halle-Wittenberg |

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 Martin-Luther-Universität Halle-Wittenberg |

1999 | Visiting Simon Fraser University Vancouver B.C., Canada |

1999 – 2001 | Private Lecturer, Freie Universität Berlin |

1994 – 2001 | Research Scientist of Scientific Software Group, Zuse-Institute Berlin |

1990 – 1994 | PostDoc, Zuse-Institute Berlin |

1988 – 1990 | Assistant Lecturer, Research Follow, Martin-Luther-Universität Halle-Wittenberg |

Professional Activities
| |

2014 – 2018 | Vice Spokesperson of Collaborative Research Center SFB/Transregio 154 |

2007 – 2018 | Principal Investigator and Vice Dean for Ph.D. Studies at Excellence Graduate School of Computational Engineering, Technische Universität Darmstadt |

since 2006 | Editor of Applied Numerical Mathematics (Elsevier) |

Awards, Honors and Offers
| |

2006 | Offer for Full Professorship at Technische Universität Chemnitz |

2001 | Offer for Full Professorship at Technische Universität Darmstadt |

1995 | Ph.D. research grant, Martin-Luther-Universität Halle-Wittenberg |

1984 – 1985 | Student award, Martin-Luther-Universität Halle-Wittenberg |

## Current Projects

SFB/TRR154: Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks, 2014-2022

SFB/TRR146: Multiscale Simulation Methods for Soft-Matter Systems, 2014-2022