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.

• 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.
• Coombes, S., beim Graben, P., Potthast, R., Wright, J. (Eds.): Neural Fields - Theory and Applications. Springer 2014. Since its online publication on May 12, 2014,
• Potthast, R.: Point-sources and Multipoles in Inverse Scattering, Chapman & Hall, London 2001.
• 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.

• 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.

• 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: http://www.atmos-chem-phys-discuss.net/acp-2016-609/
• 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. http://onlinelibrary.wiley.com/doi/10.1002/qj.2407/pdf

• 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. http://dx.doi.org/10.2151/jmsj.2014-605
• 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 http://www.degruyter.com/view/product/182025, [ 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 http://www.degruyter.com/view/product/182029
• 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/j.cam.2009.08.023.

• 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.

• 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

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

• Fréchet Differenzierbarkeit von Randintegraloperatoren und Randwertproblemen zur Helmholtzgleichung und den zeithharmonischen Maxwellgleichungen.“ PHD-Thesis, Göttingen 1994 (in German)