Article

Wilhelm, J. ORCID: https://orcid.org/0000-0002-7475-0758, Wapler, K., Blahak, U., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Kunz, M. ORCID: https://orcid.org/0000-0002-0202-9558 (2023) Statistical relevance of meteorological ambient conditions and cell attributes for nowcasting the life cycle of convective storms. Quarterly Journal of the Royal Meteorological Society, 149 (755). pp. 2252-2280. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4505

Kotsuki, S., Miyoshi, T. ORCID: https://orcid.org/0000-0003-3160-2525, Kondo, K. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2022) A local particle filter and its Gaussian mixture extension implemented with minor modifications to the LETKF. Geoscientific Model Development, 15 (22). pp. 8325-8348. ISSN 1991-9603 doi: https://doi.org/10.5194/gmd-15-8325-2022

Lang, O., Van Leeuwen, P. J., Crisan, D. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2022) Bayesian inference for fluid dynamics: a case study for the stochastic rotating shallow water model. Frontiers in Applied Mathematics and Statistics, 8. 949354. ISSN 2297-4687 doi: https://doi.org/10.3389/fams.2022.949354

Furuya, T. ORCID: https://orcid.org/0000-0001-6132-6846 and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2022) Inverse medium scattering problems with Kalman filter techniques. Inverse Problems, 38 (9). 095003. ISSN 0266-5611 doi: https://doi.org/10.1088/1361-6420/ac836f

Schenk, N., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Rojahn, A. (2022) On two localized particle filter methods for Lorenz 1963 and 1996 Models. Frontiers in Applied Mathematics and Statistics, 8. ISSN 2297-4687 doi: https://doi.org/10.3389/fams.2022.920186

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Vobig, K., Blahak, U. and Simmer, C. (2022) Data Assimilation of nowcasted observations. Monthly Weather Review, 150 (5). pp. 969-980. ISSN 0027-0644 doi: https://doi.org/10.1175/MWR-D-21-0017.1

Sgoff, C., Acevedo, W., Paschalidi, Z., Ulbrich, S., Bauernschubert, E., Kratzsch, T. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2022) Assimilation of crowd-sourced surface observations over Germany in a regional weather prediction system. Quarterly Journal of the Royal Meteorological Society, 148 (745). pp. 1752-1767. ISSN 1477-870X doi: https://doi.org/10.1002/qj.4276

Trömel, S., Chwala, C., Furusho-Percot, C., Henken, C. C., Polz, J., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Reinoso-Rondinel, R. and Simmer, C. (2021) Near-Realtime Quantitative Precipitation Estimation and Prediction (RealPEP). Bulletin of the American Meteorological Society, 102 (8). E1591-E1596. ISSN 1520-0477 doi: https://doi.org/10.1175/BAMS-D-21-0073.1

Lin, Y.-H., Nakamura, G., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Wang, H. (2021) Duality between range and no-response tests and its application for inverse problems. Inverse problems and imaging, 15 (2). pp. 367-386. ISSN 1930-8337 doi: https://doi.org/10.3934/ipi.2020072

Otkin, J. A., Potthast, R. W. E. ORCID: https://orcid.org/0000-0001-6794-2500 and Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568 (2021) Nonlinear conditional model bias estimation for data assimilation. SIAM Journal on Applied Dynamical Systems, 20 (1). pp. 299-332. ISSN 1536-0040 doi: https://doi.org/10.1137/19M1294848

Otkin, J. A. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2019) Assimilation of all-sky seviri infrared brightness temperatures in a regional-scale ensemble data assimilation system. Monthly Weather Review, 147 (12). pp. 4481-4509. ISSN 1520-0493 doi: https://doi.org/10.1175/mwr-d-19-0133.1

Udosen, N. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2019) A framework for solving meta inverse problems: experimental design and application to an acoustic source problem. Modeling Earth Systems and Environment, 5 (2). pp. 519-532. ISSN 2363-6203 doi: https://doi.org/10.1007/s40808-018-0541-y

Meng, D., Chen, Y., Wang, H., Gao, Y., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Wang, Y. (2019) The evaluation of EnVar method including hydrometeors analysis variables for assimilating cloud liquid/ice water path on prediction of rainfall events. Atmospheric Research, 219. pp. 1-12. ISSN 0169-8059 doi: https://doi.org/10.1016/j.atmosres.2018.12.017

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Walter, A. and Rhodin, A. (2019) A localized adaptive particle filter within an operational NWP framework. Monthly Weather Review, 147 (1). pp. 345-362. ISSN 0027-0644 doi: https://doi.org/10.1175/MWR-D-18-0028.1

Waller, J. A., Bauernschubert, E., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Simonin, D. (2019) Observation error statistics for Doppler radar radial wind superobservations assimilated into the DWD COSMO-KENDA system. Monthly Weather Review, 147. pp. 3351-3364. ISSN 0027-0644 doi: https://doi.org/10.1175/MWR-D-19-0104.1

Nadeem, A., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Rhodin, A. (2018) On sequential multiscale inversion and data assimilation. Journal of Computational and Applied Mathematics, 336. pp. 338-352. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2017.08.013

Janjic, T., Bormann, N., Bocquet, M., Carton, J. A., Cohn, S. E., Dance, S. L. ORCID: https://orcid.org/0000-0003-1690-3338, Losa, S. N., Nichols, N. K. ORCID: https://orcid.org/0000-0003-1133-5220, Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Waller, J. A. and Weston, P. (2018) On the representation error in data assimilation. Quarterly Journal of the Royal Meteorological Society, 144 (713). pp. 1257-1278. ISSN 0035-9009 doi: https://doi.org/10.1002/qj.3130

Otkin, J. A., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568 (2018) Nonlinear bias correction for satellite data assimilation using Taylor series polynomials. Monthly Weather Review, 146 (1). pp. 263-285. ISSN 0027-0644 doi: https://doi.org/10.1175/mwr-d-17-0171.1

Alswaihli, J., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Bojak, I. ORCID: https://orcid.org/0000-0003-1765-3502, Saddy, D. ORCID: https://orcid.org/0000-0001-8501-6076 and Hutt, A. (2018) Kernel reconstruction for delayed neural field equations. The Journal of Mathematical Neuroscience, 8. 3. ISSN 2190-8567 doi: https://doi.org/10.1186/s13408-018-0058-8

Geisinger, A., Behrendt, A., Wulfmeyer, V., Strohbach, J., Förstner, J. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2017) Development and application of a backscatter lidar forward operator for quantitative validation of aerosol dispersion models and future data assimilation. Atmospheric Measurement Techniques, 10 (12). pp. 4705-4726. ISSN 1867-8548 doi: https://doi.org/10.5194/amt-10-4705-2017

Zia, Q. M. Z. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2016) The range test and the no response test for Oseen problems: theoretical foundation. Journal of Computational and Applied Mathematics, 304. pp. 201-211. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2015.11.029

Bick, T., Simmer, C., Trömel, S., Wapler, K., Hendricks Franssen, H.-J., Stephan, K., Blahak, U., Schraff, C., Reich, H., Zeng, Y. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2016) Assimilation of 3D radar reflectivities with an ensemble Kalman filter on the convective scale. Quarterly Journal of the Royal Meteorological Society, 142 (696). pp. 1490-1504. ISSN 1477-870X doi: https://doi.org/10.1002/qj.2751

Schraff, C., Reich, H., Rhodin, A., Schomburg, A., Stephan, K., Perianez, A. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2016) Kilometre-scale ensemble data assimilation for the COSMO model (KENDA). Quarterly Journal of the Royal Meteorological Society, 142 (696). pp. 1453-1472. ISSN 1477-870X doi: https://doi.org/10.1002/qj.2748

Nadeem, A. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2016) Transformed and generalized localization for ensemble methods in data assimilation. Mathematical Methods in the Applied Sciences, 39 (4). pp. 619-634. ISSN 0170-4214 doi: https://doi.org/10.1002/mma.3496

Schomburg, A., Schraff, C. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2015) A concept for the assimilation of satellite cloud information in an Ensemble Kalman Filter: single-observation experiments. Quarterly Journal of the Royal Meteorological Society, 141 (688). pp. 893-908. ISSN 1477-870X doi: https://doi.org/10.1002/qj.2407

Perianez, A., Reich, H. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2014) Optimal localization for ensemble Kalman filter systems. Journal of the Meteorological Society of Japan. Ser. II, 92 (6). pp. 585-597. ISSN 0026-1165 doi: https://doi.org/10.2151/jmsj.2014-605

Zia, Q. M. Z. and Potthast, R. W. E. ORCID: https://orcid.org/0000-0001-6794-2500 (2013) Flow and shape reconstructions from remote measurements. Mathematical Methods in the Applied Sciences, 36 (10). pp. 1171-1186. ISSN 1099-1476 doi: https://doi.org/10.1002/mma.2670

Lowery, N. L.H., Vahdati, M. M. ORCID: https://orcid.org/0009-0009-8604-3004, Potthast, R. W.E. ORCID: https://orcid.org/0000-0001-6794-2500 and Holderbaum, W. ORCID: https://orcid.org/0000-0002-1677-9624 (2013) Classification and fault detection methods for fuel cell monitoring and quality control. Journal of Fuel Cell Science and Technology, 10 (2). 021002. ISSN 1550-624X doi: https://doi.org/10.1115/1.4023565

Moodey, A. J. F., Lawless, A. S. ORCID: https://orcid.org/0000-0002-3016-6568, Potthast, R. W. E. ORCID: https://orcid.org/0000-0001-6794-2500 and Van Leeuwen, P. J. (2013) Nonlinear error dynamics for cycled data assimilation methods. Inverse Problems, 29 (2). 025002. ISSN 0266-5611 doi: https://doi.org/10.1088/0266-5611/29/2/025002

Yaman, F., Yakhno, V. G. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2013) A survey on inverse problems for applied sciences. Mathematical Problems in Engineering, 2013. 976837. ISSN 1024-123X doi: https://doi.org/10.1155/2013/976837

Marx, B. A. and Potthast, R. W. E. ORCID: https://orcid.org/0000-0001-6794-2500 (2012) On instabilities in data assimilation algorithms. GEM - International Journal on Geomathematics, 3 (2). pp. 253-278. ISSN 1869-2680 doi: https://doi.org/10.1007/s13137-012-0034-5

Lowery, N., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Vahdati, M. ORCID: https://orcid.org/0009-0009-8604-3004 and Holderbaum, W. ORCID: https://orcid.org/0000-0002-1677-9624 (2012) On discrimination algorithms for ill-posed problems with an application to magnetic tomography. Inverse Problems, 28 (6). 065010. ISSN 1361-6420 doi: https://doi.org/10.1088/0266-5611/28/6/065010

Potthast, R.W.E. ORCID: https://orcid.org/0000-0001-6794-2500 (2011) An iterative contractive framework for probe methods: LASSO. Radio Science, 46 (RS0E14). ISSN 1944–799x doi: https://doi.org/10.1029/2011RS004660

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2010) A study on orthogonality sampling. Inverse Problems, 26 (7). 074015. ISSN 1361-6420 doi: https://doi.org/10.1088/0266-5611/26/7/074015

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Fazi, F. M. and Nelson, P. A. (2010) Source splitting via the point source method. Inverse Problems, 26 (4). 045002. ISSN 1361-6420 doi: https://doi.org/10.1088/0266-5611/26/4/045002

Burkard, C. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2009) A time-domain probe method for three-dimensional rough surface reconstructions. Inverse problems and imaging, 3 (2). pp. 259-274. ISSN 1930-8337 doi: https://doi.org/10.3934/ipi.2009.3.259

Beim Graben, P. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2009) Inverse problems in dynamic cognitive modeling. Chaos, 19 (1). p. 21. ISSN 1089-7682 doi: https://doi.org/10.1063/1.3097067

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Beim Graben, P. (2009) Inverse problems in neural field theory. SIAM Journal on Applied Dynamical Systems, 8 (4). pp. 1405-1433. ISSN 1536-0040 doi: https://doi.org/10.1137/080731220

Hauer, K.H., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Wannert, M. (2008) Algorithms for magnetic tomography - on the role of a priori knowledge and constraints. Inverse Problems, 24 (4). 045008. ISSN 0266-5611 doi: https://doi.org/10.1088/0266-5611/24/4/045008

Heinemeyer, E., Lindner, M. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2008) Convergence and numerics of a multisection method for scattering by three-dimensional rough surfaces. SIAM Journal on Numerical Analysis (SINUM), 46 (4). pp. 1780-1798. ISSN 0036-1429 doi: https://doi.org/10.1137/060673321

Delbary, F.,, Erhard, K., Kress, R., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Schulz, J. (2008) Inverse electromagnetic scattering in a two-layered medium with an application to mine detection. Inverse Problems, 24 (1). 015002. ISSN 0266-5611 doi: https://doi.org/10.1088/0266-5611/24/1/015002

Beim Graben, P., Pinotsis, D., Saddy, D. ORCID: https://orcid.org/0000-0001-8501-6076 and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2008) Language processing with dynamic fields. Cognitive Neurodynamics, 2 (2). pp. 79-88. ISSN 1871-4099 doi: https://doi.org/10.1007/s11571-008-9042-4

Jakubik, P. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2008) Testing the integrity of some cavity - the Cauchy problem and the range test. Applied Numerical Mathematics, 58 (6). pp. 899-914. ISSN 0168-9274 doi: https://doi.org/10.1016/j.apnum.2007.04.007

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2007) On the convergence of the no response test. SIAM Journal on Mathematical Analysis (SIMA), 38 (6). pp. 1808-1824. ISSN 0036-1410 doi: https://doi.org/10.1137/S0036141004441003

Eckel, H. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2007) An evolutionary Newton method for shape reconstruction. Journal of Inequalities and Applications, 19 (3). pp. 261-287. ISSN 1025-5834 doi: https://doi.org/10.1216/jiea/1190905487

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Schulz, J. (2007) A multiwave range test for obstacle reconstructions with unknown physical properties. Journal of Computational and Applied Mathematics, 205 (1). pp. 53-71. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2006.04.040

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Heinemeyer, E. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) Acoustic scattering by mildly rough unbounded surfaces in three dimensions. Siam Journal on Applied Mathematics, 66 (3). pp. 1002-1026. ISSN 0036-1399

Nakamura, G., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Sini, M. (2006) 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 (10). pp. 1505-1528. ISSN 0360-5302

Nakamura, G., Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 and Sini, M. (2006) A comparative study between some non-iterative methods for inverse scattering. Contemporary Mathematics, 408. pp. 249-265.

Erhard, K. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) A numerical study of the probe method. Siam Journal on Scientific Computing, 28 (5). pp. 1597-1612. ISSN 1064-8275

Luke, D. R. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) The point source method for inverse scattering in the time domain. Mathematical Methods in the Applied Sciences, 29 (13). pp. 1501-1521. ISSN 0170-4214

Ben Hassen, M. F., Erhard, K. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations. Inverse Problems, 22 (1). pp. 331-353. ISSN 0266-5611

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) A survey on sampling and probe methods for inverse problems. Inverse Problems, 22 (2). R1-R47. ISSN 0266-5611

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Heinemeyer, E. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2006) A well-posed integral equation formulation for three-dimensional rough surface scattering. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 462 (2076). pp. 3683-3705. ISSN 1364-5021

Book or Report Section

Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500, Fazi, F. M., Nelson, P. A. and Seo, J. (2008) Two sound field reconstruction techniques based on integral equations. In: 2008 Hands-Free Speech Communication and Microphone Arrays. IEEE, pp. 245-248.

Book

Yaman, F., Yakhno, V. G., Özdemir, C., Yu, T.-Y. and Potthast, R. ORCID: https://orcid.org/0000-0001-6794-2500 (2015) Recent theory and applications on inverse problems 2014. Hindawi Publishing. doi: https://doi.org/10.1155/2015/403729