Article

Kotsuki, S., Miyoshi, T. ORCID: https://orcid.org/0000-0003-3160-2525, Kondo, K. and Potthast, R. (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. (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. 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., 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., 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. 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. and Lawless, A. S. (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. (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. (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. 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., 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., Nichols, N. K., Potthast, R. 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. 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., Losa, S. N., Nichols, N. K., Potthast, R., 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. and Lawless, A. S. (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., Bojak, I., Saddy, D. 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. (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. (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. (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. (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. (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. (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. (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. (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., Potthast, R. W.E. and Holderbaum, W. (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., Potthast, R. W. E. 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. (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. (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., Vahdati, M. and Holderbaum, W. (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. (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. (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., 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. (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. (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. 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. 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. (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. 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. and Potthast, R. (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. (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. (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. (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. 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., Heinemeyer, E. and Potthast, R. (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. 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. 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. (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. (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. (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. (2006) A survey on sampling and probe methods for inverse problems. Inverse Problems, 22 (2). R1-R47. ISSN 0266-5611

Chandler-Wilde, S. N., Heinemeyer, E. and Potthast, R. (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., 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. (2015) Recent theory and applications on inverse problems 2014. Hindawi Publishing. doi: https://doi.org/10.1155/2015/403729