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Books and Correspondence Courses:

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Preprints and Current Work

  • Jehan Alswaihli, Roland Potthast, Axel Hutt, Douglas Saddy, and Ingo Bojak. Kernel reconstruction for delayed neural field equations. 2017. 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, revised.
  • Aamir Nadeem, Roland Potthast and Andreas Rhodin: On Sequential Multiscale Inversion and Data Assimilation, revised.
  • T. Janjic, N. Bormann, M. Bocquet, J. A. Carton, S. N. Losa,S. L. Dance, N. K. Nichols, J. A. Waller, P. Weston, R. Potthast, S. E. Cohn: On the representation error, submitted.

The following papers need revision, some others [ other_work_ongoing ] are on hold:

  • R. J. Keane, H. Reich , C. H. Schraff , M. Buchhold R.W.E. Potthast: Generating initial conditions for COSMO-DE-EPS using KENDA, system is now pre-operational.

Research Journal Papers


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.

For the full research articles below in 03/2017 around 1176 citations are recorded by Thompson, which is an average of 14.89 citations per article. The map on the right indicates the location of institutions citing the articles.


  • Armin Geisinger , Andreas Behrendt , Volker Wulfmeyer, Jens Strohbach, Jochen Förstner, Roland Potthast, and Ina Mattis: A Backscatter Lidar Forward OperatorAerosol-Representing Atmospheric Chemistry Models, discussion paper:
  • 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.
  • 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.
  • 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.
  • 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.


  • Gen Nakamura and Roland Potthast: Inverse Modeling - An introduction to the theory and methods of inverse problems and data assimilation, IOP Ebook Series 2015, 550 pages, 200 images, 170 codes.
  • Annika Schomburg, Christoph Schraff and Roland Potthast: A concept for the assimilation of cloud information in a Local Ensemble Transform Kalman Filter at the convective scale, QJRMS Volume 141, Issue 688, pages 893–908, April 2015 Part A.


  • Periáñez, Á., T. H. Reich, and R. W. E. Potthast, 2014: Optimal localization for ensemble Kalman filter systems. J. Meteor. Soc. Japan, 92, 585-597.
  • 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
  • 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
  • “Neural Field Theory”, Springer 2014, Edts: beim Graben, Coombes, Potthast, Wright. weblink Springer


  • Freitag, M. and Potthast, R.: Synergy of Inverse Problems and Data Assimilation Techniques in “Large Scale Inverse Problems - Computational Methods and Applications in the Earth Sciences”, Radon Series on Computational and Applied Mathematics 13, Hrsg. v. Cullen, Mike / Freitag, Melina A / Kindermann, Stefan / Scheichl, Robert, [ Contents ], [ PDF ]
  • Fatih Yaman, Valery G. Yakhno and Roland Potthast: A Survey on Inverse Problems for Applied Sciences, Mathematical Problems in Engineering, Mathematical Methods in Engineering, [ PDF ].
  • N.L.H. Lowery, M.M. Vahdati, R.W.E. Potthast, W. Holderbaum: Classification and Fault Detection Methods for Fuel Cell Monitoring and Quality Control, J. Fuel Cell Sci. Technol 10(2), 021002 (Mar 21, 2013) doi:10.1115/1.4023565
  • Potthast, R: Dynamic Inverse Scattering, in Bd. 14: “Direct and Inverse Problems in Wave Propagation and Applications” (2013) Hrsg. v. Graham, Ivan / Langer, Ulrich / Melenk, Jens Markus / Sini, Mourad
  • Alexander J.F. Moodey, Amos S. Lawless, Roland W.E. Potthast, Peter Jan van Leeuwen: Nonlinear error dynamics for cycled data assimilation methods, Inverse Problems 29 Vol 2 (2013) 025002 doi:10.1088/0266-5611/29/2/025002
  • Stephane Hallegatte, World Bank; John Eyre, Met Office (UK); Tony McNally, ECMWF; Roland Potthast, DWD; Robert Husband, MSYS Ltd.: The case for THE EUMETSAT POLAR SYSTEM (EPS) /Metop Second-Generation PROGRAMME: cost benefit analysis, European Space Policy Institute (ESPI) Yearbook, Springer Verlag, 2013, buy or see online at Springer Book Website


  • Peter beim Graben and Roland Potthast: Implementing Turing Machines in Dynamic Field Architectures AISB/IACAP World Congress 2012, Birmingham.
  • 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.


  • Potthast, R.: “An Iterative Contractive Framework for Probe Methods (LASSO)”, Radio Science, Volume 46, Issue 5, October 2011
  • beim Graben, P. & Potthast, R.: A dynamic field account to language-related brain potentials. In M. Rabinovich, K. Friston, & P. Varona (Eds.) Principles of Brain Dynamics: Global State Interactions, MIT Press: Cambridge (MA).


  • Roland Potthast: Orthogonality Sampling for Object Visualization, Inverse Problems 2010.
  • Potthast, R., Fazi, F. and Nelson, Ph.: Source Splitting via the Point Source Method, Inverse Problems 2010.
  • Ben Hassen, F., Erhard, K. and Potthast, R.: The singular sources method for 3d inverse acoustic obstacle scattering problems, IMA J. Appl. Math (2010).
  • 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.
  • Potthast, Roland; Graben, Peter beim Existence and properties of solutions for neural field equations. Math. Methods Appl. Sci. 33 (2010), no. 8, 935–949. [PDF]
  • 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/


  • Potthast, R and beim Graben, P.: Dimensional reduction for the inverse problem of neural Field theory, Frontiers in Neuroscience, Vol.3, 2009, DOI 10.3389/neuro.10/017.2009. [PDF]
  • Beim Graben, P. and Potthast, R.: Inverse Problems in Neural Field Theory, SIAM J. Appl. Dyn. Syst., Vol. 8, No. 4 (2009), 1405-1433. [PDF]
  • Burkard, C. and Potthast, R.: A Time-Domain Probe Method for Three-dimensional Rough Surface Reconstructions, Inverse Problems and Imaging, Volume 3, No. 2 (2009) 259274. [PDF]
  • Beim Graben, P. and Potthast, R.: Inverse Problems in Dynamic Cognitive Modeling, CHAOS 19, 015103 (2009). [PDF]
  • Potthast, R. and Wannert, M.: Uniqueness of Current Reconstructions for Magnetic Tomography in Multi-Layer Devices, SIAM J. Appl. Math. Volume 70, Issue 2, pp. 563- 578 (2009). [PDF]
  • Liu, Jijun and Potthast, Roland: On the duality of the potential method and the point source method in inverse scattering problems, J. Int. Eq. Appl, Vol.21, No.2, (2009) doi:10.1216/JIE-2009-21-2-1.


  • 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. [PDF]
  • 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


  • Ben Hassen, F., Liu, J. and Potthast, R.: On Source Analysis by Wave Splitting with Applications in Inverse Scattering of Multiple Obstacles, J. Comput. Math. 25 (2007), no. 3, 266–281.
  • Eckel, H. and Potthast, R.: An evolutionary Newton method for shape reconstruction. J. Integral Equations and Applications, Vol 19, No 3 (2007) 261-288.
  • Potthast, R. and Schulz, J.: A multi-wave range test for obstacle reconstructions with unknown physical properties. J. Comput. Appl. Math. 205 (2007), no. 1, 53–71.
  • Honda, N., Nakamura, R., Potthast, R. and Sini, M.: The no-response approach and its relation to non-iterative methods in inverse scattering. , Annali di Matematica Pura ed Aplicata, at press, published online 20 September 2006.
  • Potthast, R.: On the convergence of the no response test. SIAM J. Math. Anal. 38 (2007), no. 6, 1808–1824.
  • Liu, J., Nakamura, G. and Potthast, R.: A new approach and improved error analysis for reconstructing the scattered wave by the point source method. Journal of Computational Mathematics, Vol.25, No.2, 2007, pp113-130.


  • Nakamura, G., Potthast, R. and Sini, M.: A comparative study between some non-iterative methods for inverse scattering. Contemporary Matheamtics, Volume 408, 2006.
  • 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
  • Erhard, K. and Potthast, R.: A numerical study of the probe method. SIAM J. Sci. Comput. 28, 1597 (2006)
  • 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.


  • Hauer, K.-H., Potthast, R., Stolton, D. and Wüster, T.: Magnetotomography - A New Method for Analysing Fuel Cell Performance and Quality. Journal of Power Sources 143 (2005), 67-74.
  • Hauer, K.-H., Kühn, L. and Potthast, R.: On uniqueness and non-uniqueness for current reconstruction from magnetic fields Inverse Problems 21 (2005) 1-13.
  • Potthast, R.: Sampling and Probe Methods - An Algorithmical View Computing 75 (2005) 215-236.
  • Potthast, R. and Stratis, I.: The singular sources method for an inverse transmission problem. together with Ioannis Stratis, Athens. Computing 75 (2005), 237-255.


  • 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.


  • Luke, D.R. and Potthast, R.: The no response test - a sampling method for inverse scattering problems. SIAM Journal of Applied Math No.4, Vol. 63 (2003), 1292–1312.
  • Erhard, K. and Potthast, R.: Reconstructing an inclusion from boundary measurements in electrical impedance tomography and acoustic scattering. Inverse Problems, 19 (2003), 1139-1157.
  • Kusaik, S., Potthast, R. and Sylvester, R.: A 'range test' for determining scatterers with unknown physical properties. Inverse Problems 19, 533-547 (2003).
  • Potthast, R. and Stratis, I.: On the domain derivative for scattering by impenetrable obstacles in chiral media IMA J. Appl. Math., 68 (2003) 621 - 635.
  • Kühn, L. and Potthast, R.: On the convergence of the finite integration technique for the anisotropic boundary value problem of magnetic tomography Math. Meth. Appl. Sciences 26 (2003), 739-757.


  • 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.: On the Convergence of Newton's Method in Inverse Scattering. Inverse Problems 17, 1419-1434 (2001).


  • 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).


  • Colton, D. and Potthast, R.: The inverse electromagnetic scattering problem for an anisotropic medium. Q. J. Appl. Math 52 (3) (1999) 349-372
  • Potthast, R.: Electromagnetic scattering from an orthotropic medium. Journal of Integral Equations and Applications 11 No. 2 (1999) 197-215.


  • 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 .


  • Colton, D., Piana, M. and Potthast, R.: A simple method using Morozov's discrepancy principle for solving inverse scattering problems., Inverse Problems 13 (1997) 1477-1493.


  • Potthast, R.: A fast new method to solve inverse scattering problems.“ Inverse Problems 12 (1996) 731-742.
  • Potthast, R.: Domain Derivatives in electromagnetic scattering. ” Mathematical Methods in the Applied Sciences Vol 19, (1996) 1157-1175.
  • 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.


  • Potthast, R.: Fréchet differentiability of boundary integral operators in inverse acoustic scattering.” Inverse Problems 10 (1994), 431-447.

Proceedings Paper (refereed):

  • Potthast R., Fazi F.M., Nelson P.A. and Seo J.: Two Sound Field Reconstruction Techniques Based on Integral Equations, Hands-Free Speech Communication and Microphone Arrays, Trento, Italy, 2008.
  • Burkard, C. and Potthast, R.: Field and Surface Reconstructions for 3d Rough Surface Problems, Institute of Acoustics Spring Conference Reading, UK, 2008.
  • Potthast, R.: Acoustic Tomography by Orthogonality Sampling, Institute of Acoustics Spring Conference, Reading, UK 2008.
  • Fazi F.M., Nelson P.A., Potthast R. and Seo J.: The Study of Sound Field Reconstruction as an Inverse Problem, Institute of Acoustics Spring Conference, Reading, UK 2008.
  • Hauer, K.H. and Potthast, R.: Magnetic Tomography for Fuel Cells - Current Status and Problems. Proceedings of the international conference on inverse problems, Sapporo, Japan 2006.
  • Nakamura G., Potthast R. and Sini M.: A comparative study between some non-iterative methods for inverse scattering. In {\em Inverse Problems, Multi-Scale Analysis and Homogenization.} Proceedings of the Workshop in Seoul, June 2005. Contemporary Mathematics Volume, AMS (Edition by H. Ammari and H. Kang), 2006.
  • Nakamura, R., Potthast, R. and Sini, M.: The convergence of the no response test for localizing and inclusion. The 5th International Conference on Inverse Problems in Engineering - Theory and Practice, Oxford, UK 2005.
  • Potthast, R. and Schulz, J.: From the Kirsch-Kress method via the range test to the singular sources method. The 2nd International Conference on Inverse Problems, Shanghai, China 2004.
  • Erhard, K. and Potthast, R.: On Masking Operations for the Point-Source Method solving Inverse Boundary Value Problems. The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jyväskylä, Finland, June 30 - July 4, 2003.
  • Luke, D.R. and Potthast, R.: The point source method in acoustic scattering: numerical reconstruction of the scattered field from far field measurements of inhomogeneous media., Int. Conf. on Acoustics, Speech and Signal Processing, Orlando, Florida, May 13-17, 2002.
  • Potthast, R.: A Newton method for inverse scattering by a rough surface. European Symposium on Numerical Methods in Electrodynamics, Toulouse, March 2002.
  • Akduman, I. and Potthast, R.: On the reconstruction of buried objects from surface measurements of electromagnetic fields., European Symposium on Numericl Methods in Electrodynamics, Toulouse 2002.
  • Potthast, R.: On the Convergence of Newton's Method in Inverse Scattering. 5th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Technoloy, Corfu, Greece, October 18-19, 2001.
  • Potthast, R.: Uniqueness and stability in inverse acoustic scattering for finite data with limited aperture. in {\em Inverse Problems and Experimental Design in Thermal and Mechanical Engineering} Petit, Ingham, Jarny and Plourde (Eds.) March 5-7, 2001, Poitiers, France.
  • Potthast, R.: A point-source method in inverse electromagnetic scattering.“ Proceedings of the Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, June 1-5, 1998, at Colorado School of Mines, Golden, Colorado.
  • Potthast, R.: A point-source method in inverse acoustic scattering.” Proceedings of the International Symposium on Inverse Problems in Engineering Mechanics ISIP'98, March 23-28, 1998, Nagano, Japan.
  • Potthast, R.: A fast new method in inverse scattering. “ Proceedings of the Conference on Inverse Problems in Engineering: Theory and Practice, held June 9-14, 1996 in Le Croisic, France
  • Potthast, R.: On two new methods in inverse scattering. ” Proceedings of the Conference on Inverse Problems: Geophysical Applications, held Dec 1995 in Fish Camp, Yosemite, California

Habilitation Thesis ('Second Book'):

  • “Point-sources and Multipoles in Inverse Scattering”, Habilitation Thesis, University of Göttingen 1999.

Doctoral Dissertation:

  • Fréchet Differenzierbarkeit von Randintegraloperatoren und Randwertproblemen zur Helmholtzgleichung und den zeithharmonischen Maxwellgleichungen.“ PHD-Thesis, Göttingen 1994 (in German)
publications.txt · Last modified: 2017/06/08 19:56 by potthast