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See also AMS>Mathscinet>Potthast, R or R Potthast on Google Scolar or ResearcherID: F-2265-2013, compare http://www.researcherid.com/rid/F-2265-2013 or Orcid: http://orcid.org/0000-0001-6794-2500, Roland on Mendeley.

springer_book_neuro.jpg potthast_book.jpg 9781461466741.jpg 978-3-7091-1649-4.jpg


Correspondence Courses

Among various lecture notes for basically all my lectures, I have written more elaborate correspondance courses:

  • Managers Introduction to Information Technology, Correspondence Course for the Henley Management College, Henley-On-Thames, Oxfordshire, UK (2000).
  • Mathematical Foundations of Public Policy, Correspondence Course, University of Erfurt 2002.

Preprints and Current Work

  • Qazi Muhammad Zaigham Zia and Roland W.E. Potthast: A Contraction Scheme for Shape Reconstruction Problems in Inverse Fluid Dynamics, Submitted.

  • Anthony Illingworth, Ph.D.; Alessandro Battaglia; John Bradford; Mary Forsythe; Paul Joe; Pavlos Kollias; Katie Lean; Maurizio Lori; jean-Francois Mahfouf; Stella Mello; Rolv Midthassel; Yvonne Munro; John Nicol; Roland Potthast; Michael Rennie; Thorwald Stein; Simone Tanelli; Frederic Tridon; Christopher Walden; Mengistu Wolde, WIVERN: A new satellite concept to provide global in-cloud winds, precipitation and cloud properties. BAMS. Submitted.
  • Michael Bender, Andreas Rhodin, Christoph Schraff, Klaus Stephan, and Roland Potthast: A Slant Total Delay Observation Operator for ICON and COSMO, Submitted.
  • Frederik Kurzrock, Sylvain Cros, Fabrice Chane-Ming, Jason A. Otkin, Laurent Linguet, Axel Hutt, Gilles Lajoie, Roland Potthast: Cloudy Data Assimilation: A Review of the Use of Cloud-Affected Observations from Geostationary Satellites in Regional-Scale Models, under revision

Papers on hold: other_work_ongoing.

More Generic Information on Publishing and Metrics

Average citation rates up to 2010 in Mathematics for articles written between 2000 and 2010 1) - meaning that an article written in 2000 has 6.76 citations on average until 2010:

2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
6.76 6.05 5.99 5.39 4.80 4.19 3.36 2.51 1.67 0.86 0.14

leading to an average citation per article of 3.48 in a decade.

For the full research articles below in 07/2017 around 1218 citations are recorded by Thompson, which is an average of 15.42 citations per article. The map on the right indicates the location of institutions citing the articles. The citation list of the MathSciNet database is indicated below.

Today, often citation metrics play an important role in judging scientists. But we need to understand that citation counts rather reflect the activity in some layer of science or some particular field rather than the quality of the science of a researcher.

Research Journal Papers




  • Christoph Schraff, Hendrik Reich, Andreas Rhodin, Annika Schomburg, Klaus Stephan, Africa Perianez and Roland Potthast: Kilometer Scale Ensemble Data Assimilation for the COSMO Model (KENDA), QJRMS, Volume 142, Issue 696, pages 1453–1472, April 2016 Part A. Abstract Online
  • T. Bick, C. Simmer, S. Trömel, K. Wapler, H.-J. Hendricks Franssen, K. Stephan, U. Blahak, C. Schraff, H. Reich, Y. Zeng, R. Potthast: Assimilation of 3D Radar Reflectivities with an Ensemble Kalman Filter on the Convective Scale. QJRMS, Volume 142, Issue 696, pages 1490–1504, April 2016 Part A. PDF Online
  • Q.M.Zaigham Zia and Roland Potthast: The Range Test and the No Response Test for Oseen Problems: Theoretical Foundation, Journal of Computational and Applied Mathematics, Volume 304, 1 October 2016, Pages 201–211. Web
  • Aamir Nadeem and Roland Potthast: Transformed and Generalized Localization for Ensemble Methods in Data Assimilation, Mathematical Methods in the Applied Sciences, Volume 39, Issue 4, pages 619–634, March 2016. Web




  • Stephen Coombes, Peter beim Graben, and Roland Potthast: Tutorial on neural field theory, in: “Neural Field Theory”, Springer 2014, Edts: beim Graben, Coombes, Potthast, Wright. weblink Springer
  • Peter beim Graben and Roland Potthast: Universal neural field computation, in: “Neural Field Theory”, Springer 2014, Edts: beim Graben, Coombes, Potthast, Wright. weblink Springer
  • “Neural Field Theory”, Springer 2014, Edts: beim Graben, Coombes, Potthast, Wright. weblink Springer


  • Roland Potthast: The Amari Model, Encyclopedia of Computational Neuroscience, edited by Dieter Jaeger and Ranu Jung, Springer 2014 Text weblink Springer
  • Roland Potthast: Inverse Problems in Neural Population Models, Encyclopedia of Computational Neuroscience, edited by Dieter Jaeger and Ranu Jung, Springer 2014 Text weblink Springer






  • Peter beim Graben and Roland Potthast: Implementing Turing Machines in Dynamic Field Architectures, In: M. & Erden, Y. J. (Eds.) Proceedings of AISB12 World Congress 2012 - Alan Turing 2012, 5th AISB Symposium on Computing and Philosophy: Computing, Philosophy and the Question of Bio-Machine Hybrids, 36 - 40. Article on arXiv.org
  • Lowery, N., Potthast, R, Vahdati, M and Hoelderbaum, W: On Discrimination Algorithms for Ill-Posed Problems with an Application to Magnetic Tomography, Inverse Problems 28 (2012) 065010 doi:10.1088/0266-5611/28/6/065010
  • Qazi Muhammad Zaigham Zia and Roland Potthast: Flow and Shape Reconstructions from Remote Measurements, Math.Meth.Appl.Sci, 27 DEC 2012, DOI: 10.1002/mma.2670
  • Marx, B. and Potthast, R.: On Instabilities for Data Assimilation Algorithms, GEM - International Journal on Geomathematics 2012, DOI: 10.1007/s13137-012-0034-5.




  • Roland Potthast: A study on orthogonality sampling, Inverse Problems 2010. Web
  • Potthast, R., Fazi, F. and Nelson, Ph.: Source Splitting via the Point Source Method, Inverse Problems 2010. Web
  • Ben Hassen, F., Erhard, K. and Potthast, R.: The singular sources method for 3d inverse acoustic obstacle scattering problems, IMA J. Appl. Math (2010). Web
  • Burkard, C. and Potthast, R.: A multi-section approach for rough surface reconstruction via the Kirsch-Kress scheme, Inverse Problems Vol. 26, No. 4, 2010. Web
  • Potthast, Roland; Graben, Peter beim: Existence and properties of solutions for neural field equations, Math. Methods Appl. Sci. 33 (2010), no. 8, 935–949. Web
  • Potthast, R. and Sini, M.: The No Response Test for the Reconstruction of Polyhedral Objects in Electromagnetics, J. Comp. Appl. Math. (2010) DOI 10.1016/j.cam.2009.08.023.


See also: J. Integral Equations Applications, Volume 21, Number 2 (2009), 149-151. Special issue dedicated to Rainer Kress Web


  • Fabrice Delbary, Klaus Erhard, Rainer Kress, Roland Potthast and Jochen Schulz: Inverse electromagnetic scattering in a two-layered medium with an application to mine detection, Inverse Problems 24 (2008) 015002 (18pp) doi:10.1088/0266-5611/24/1/015002
  • Heinemeyer, E., Linder, M. and Potthast, R.: Convergence and numerics of a multi-section method for scattering by three-dimensional rough surfaces, SIAM J. Numer. Anal. 46, 1780 (2008), 1780-1798.
  • Hauer, K.-H., Potthast, R. and Wannert, M: Algorithms for magnetic tomography - On the role of apriori knowledge and constraints, Inverse Problems 24 (2008) 045008 (18pp) doi:10.1088/0266-5611/24/4/045008.
  • Beim Graben, Peter, Pinotsis, Dimitris, Saddy, Douglas and Potthast, Roland: Language Processing with Dynamic Fields, Cognitive Neurodynamics Vol 2, No2 (2008), 79-88.
  • P. Jakubik, R. Potthast: Testing the integrity of some cavity - the Cauchy problem and the range test, Applied Numerical Mathematics (2007), doi:10.1016/j.apnum.2007.04.007



  • Nakamura, G., Potthast, R. and Sini, M.: A comparative study between some non-iterative methods for inverse scattering, Contemporary Mathematics, Volume 408, 2006. Web
  • Nakamura, G., Potthast, R. and Sini, M.: Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test, Communications in Partial Differential Equations, 31, 2006, 1505-1528 Web
  • Erhard, K. and Potthast, R.: A numerical study of the probe method, SIAM J. Sci. Comput. 28, 1597 (2006) Web
  • Luke, D.R. and Potthast, R.: The point source method for inverse scattering in the time domain, Math. Meth. Appl. Sci. Volume 29, Issue 13 (2006) 1501-1521
  • Ben Hassen, F., Erhard, K. And Potthast, R.: The point source method for 3d reconstructions for the Helmholtz and Maxwell equations, Inverse Problems 22 (2006), 331-353.
  • Chandler-Wilde, S., Heinemeyer, E. and Potthast, R.: Acoustic Scattering by Mildly Rough Unbounded Surfaces in Three Dimensions, SIAM J. Appl. Math Vol. 66, Issue 3 (2006), 1001-1026.
  • Chandler-Wilde, S.N., Heinemeyer, E. and Potthast, R.: A well-posed integral equation formulation for three-dimensional rough surface scattering, Proceedings of the Royal Society a-Mathematical Physical and Engineering Sciences, 462, 2006, 3683-3705
  • Potthast, R.: A survey on sampling and probe methods for inverse problems, Topical Review for Inverse Problems 22 (2006), R1-R47.



  • Potthast, R.: A set-handling approach for the no-response test and related methods. Mathematics and Computers in Simulation, Vol. 66, No 4-5 (2004), 281-296.
  • Potthast, R.: A new non-iterative singular sources method for the reconstruction of piecewise constant media. Numerische Mathematik, Vol 98 (2004), 703-730.



  • Kühn, L., Kreß, R. and Potthast, R.: The reconstruction of a current distribution from its magnetic fields, Inverse Problems 18, 1127-1146 (2002).
  • Chandler-Wilde, S. and Potthast, R.: The Domain Derivative in Rough Surface Scattering and Rigorous Estimates for First Order Perturbation Theory, Proceedings of the Royal Society, London 458 (2002), 2967-3001.




  • Potthast, R.: Stability estimates and reconstructions in inverse acoustic scattering using singular sources, J. Comp. Appl. Math. (2000) 114, 247-274.
  • Potthast, R.: Integral equation methods in electromagnetic scattering from anisotropic media, Mathematical Methods in the Applied Sciences 23, 1145-1159 (2000).



  • Potthast, R.: A point-source method for inverse acoustic and electromagnetic obstacle scattering problems, IMA Journal of Appl. Math 61 (1998) 119-140.
  • Potthast, R.: On a concept of uniqueness in inverse scattering for a finite number of incident waves, Siam J. Appl. Math 58 (1998) 666-682 .



  • Potthast, R.: A fast new method to solve inverse scattering problems, Inverse Problems 12 (1996) 731-742. Web
  • Potthast, R.: Domain Derivatives in electromagnetic scattering, Mathematical Methods in the Applied Sciences Vol 19, (1996) 1157-1175. Web
  • Potthast, R.: Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain“, Journal on Inverse and Ill-posed Problems Vol.4, No.1 (1996) 67 - 84. Web


Doctoral Dissertation

Proceedings Paper (refereed):