Edit Profile (opens in new tab) Somersalo, Erkki Compute Distance To: Compute Author ID: somersalo.erkki Published as: Somersalo, Erkki; Somersalo, E.; Sommersalo, Erkki; Somersalo, E. J.; Someralo, Erkki more...less Homepage: http://math.case.edu/faculty/erkki-somersalo/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr Documents Indexed: 105 Publications since 1985, including 4 Books 4 Contributions as Editor Co-Authors: 78 Co-Authors with 104 Joint Publications 1,422 Co-Co-Authors all top 5 Co-Authors 5 single-authored 55 Calvetti, Daniela 17 Kaipio, Jari P. 10 Päivärinta, Lassi 7 Cheney, Margaret 6 Isaacson, David 6 Lassas, Matti J. 5 Vauhkonen, Marko 4 Arnold, Andrea 4 Haario, Heikki 4 Kurylëv, Yaroslav Vadimovich 4 Ola, Petri 4 Prezioso, Jamie 3 Capo Rangel, G. 3 Gerardo-Giorda, Luca 3 Heino, Jenni 3 Kolehmainen, Ville 3 Occhipinti, Rossana 3 Pitolli, Francesca 3 Pragliola, Monica 3 Seppänen, Aku 3 Vantaggi, Barbara 2 Baroudi, Djebar 2 Boron, Walter F. 2 Cheng, Yougan 2 Hadwin, Paul J. 2 Hageman Blair, Rachael 2 Homa, Laura 2 Huttunen, Janne M. J. 2 Immonen, Taina 2 Isaacson, Eli L. 2 Mcgivney, Debra 2 Nakkireddy, S. 2 Ramm, Alexander G. 2 Strang, Alexander 2 Tunyan, Knarik 1 Arridge, Simon R. 1 Arts, Eric J. 1 Bardsley, Johnathan M. 1 Beylkin, Gregory 1 Bingham, Kenrick 1 Burridge, Robert 1 Cabrera, Marco E. 1 Callahan, Margaret 1 Cheng, Jin 1 Cosmo, Anna 1 Dash, Ranjan K. 1 Duncan, S. 1 Dunlop, Matthew M. 1 Eirola, Timo 1 Ernst, Oliver G. 1 Gjedde, Albert 1 Hakula, Harri 1 Hoover, Alexander P. 1 Iversen, Peter 1 Järvenpää, Seppo 1 Jeltsch, Rolf 1 Johnson, Claes G. L. 1 Karjalainen, Pasi A. 1 Kuceyeski, Amy 1 Lehtinen, Markku S. 1 Leitner, Thomas 1 Liukkonen, Jukka 1 Miller, Melanie A. 1 Nakamura, Gen 1 Pascarella, Annalisa 1 Perotto, Simona 1 Pursiainen, Sampsa 1 Ruuskanen, A. R. 1 Schweiger, Martin 1 Serov, Valery S. 1 Spies, Ruben D. 1 Stenberg, Rolf 1 Stuart, Andrew M. 1 Tarvainen, Tanja 1 Vauhkonen, P. J. 1 Volzer, Joseph 1 Voutilainen, Arto 1 Ylä-Oijala, Pasi all top 5 Serials 35 Inverse Problems 9 Journal of Theoretical Biology 5 Inverse Problems and Imaging 4 SIAM Journal on Scientific Computing 3 SIAM Journal on Applied Mathematics 3 Multiscale Modeling & Simulation 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Electromagnetic Waves and Applications 1 Arkhimedes 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 BIT 1 Computing 1 Duke Mathematical Journal 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Advances in Applied Mathematics 1 Applied Numerical Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 Communications of the Korean Mathematical Society 1 Mathematical Medicine and Biology 1 International Journal of Mathematics and Computer Science 1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes 1 Applied Mathematical Sciences 1 Bericht. Universität Jyväskylä. Mathematisches Institut 1 Lecture Notes in Physics 1 Surveys and Tutorials in the Applied Mathematical Sciences 1 Mathematical Modeling and Computation 1 SIAM Journal on Imaging Sciences 1 SIAM/ASA Journal on Uncertainty Quantification 1 Data Sci. Book Ser. all top 5 Fields 49 Partial differential equations (35-XX) 48 Numerical analysis (65-XX) 37 Statistics (62-XX) 37 Biology and other natural sciences (92-XX) 27 Optics, electromagnetic theory (78-XX) 7 Systems theory; control (93-XX) 6 Fluid mechanics (76-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,551 times in 960 Documents Cited by ▼ Year ▼ Statistical and computational inverse problems. Zbl 1068.65022Kaipio, Jari; Somersalo, Erkki 395 2005 Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055Somersalo, Erkki; Cheney, Margaret; Isaacson, David 123 1992 Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008Kaipio, Jari; Somersalo, Erkki 79 2007 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010Calvetti, Daniela; Somersalo, Erkki 75 2007 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko 70 2000 Nonstationary inverse problems and state estimation. Zbl 0927.35134Kaipio, J.; Somersalo, E. 57 1999 An inverse boundary value problem in electrodynamics. Zbl 0804.35152Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki 55 1993 On the existence and convergence of the solution of PML equations. Zbl 0899.35026Lassas, M.; Somersalo, E. 55 1998 Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M. 47 2006 Inverse problems with structural prior information. Zbl 0949.65144Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E. 36 1999 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062Calvetti, Daniela; Somersalo, Erkki 32 2008 Analysis of the PML equations in general convex geometry. Zbl 1200.35013Lassas, Matti; Somersalo, Erkki 32 2001 A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128Somersalo, Erkki; Isaacson, David; Cheney, Margaret 31 1992 Linear inverse problems for generalised random variables. Zbl 0681.60015Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki 30 1989 Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138Ola, Petri; Somersalo, Erkki 29 1996 Priorconditioners for linear systems. Zbl 1087.65044Calvetti, Daniela; Somersalo, Erkki 20 2005 A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076Päivärinta, L.; Somersalo, E. 18 1988 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 17 2009 Aristotelian prior boundary conditions. Zbl 1095.94005Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 14 2018 State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P. 14 2001 Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli 14 1991 Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095Päivärinta, Lassi; Somersalo, Erkki 14 1991 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018Calvetti, Daniela; Somersalo, Erkki 13 2007 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078Calvetti, D.; Somersalo, E.; Strang, A. 12 2019 Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 12 2006 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 11 2010 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 11 2013 Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki 10 2001 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 10 2014 Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki 9 1994 Electrical impedance tomography with basis constraints. Zbl 0872.35130Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A. 9 1997 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 9 2014 Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H. 8 2004 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 8 2015 Uniqueness of identifying the convection term. Zbl 1101.35398Cheng, Jin; Nakamura, Gen; Somersalo, Erkki 8 2001 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 8 2012 Inverse problems in the Bayesian framework. Zbl 1305.00104 8 2014 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 7 2020 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 7 2018 Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034Somersalo, E.; Voutilainen, A.; Kaipio, J. P. 6 2003 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 6 2008 Estimation of optical absorption in anisotropic background. Zbl 1003.35124Heino, Jenni; Somersalo, Erkki 6 2002 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020Calvetti, Daniela; Somersalo, Erkki 6 2006 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017Calvetti, Daniela; Somersalo, Erkki 5 2005 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027Calvetti, Daniela; Somersalo, Erkki 5 2011 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 4 2015 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 4 2018 Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162Sommersalo, Erkki 4 1994 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 4 2020 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 4 2015 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 4 2017 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035Calvetti, Daniela; Somersalo, Erkki 4 2013 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 Inverse problems for time harmonic electrodynamics. Zbl 1129.78307Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki 3 2003 Using process tomography as a sensor for optimal control. Zbl 1083.65061Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P. 3 2006 Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103Ramm, Alexander G.; Somersalo, Erkki 3 1989 Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 2 2004 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki 2 2003 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 2 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 2 2019 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248Calvetti, D.; Nakkireddy, S.; Somersalo, E. 1 2020 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001Calvetti, Daniela; Somersalo, Erkki 1 2021 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Bayesian mixture models for source separation in MEG. Zbl 1234.92042Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 1 2011 Impedance imaging and electrode models. Zbl 0880.65111Järvenpää, Seppo; Somersalo, Erkki 1 1997 Dynamical electric wire tomography: a time series approach. Zbl 0908.35138Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki 1 1998 Statistical methods in imaging. Zbl 1259.62057Calvetti, Daniela; Somersalo, Erkki 1 2011 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 Microlocal sequential regularization in imaging. Zbl 1141.94305Calvetti, Daniela; Somersalo, Erkki 1 2007 The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066Päivärinta, Lassi; Somersalo, Erkki 1 1987 One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005Somersalo, Erkki 1 1989 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134Haario, Heikko; Somersalo, Erkki 1 1987 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 1 2012 Mathematics of data science. A computational approach to clustering and classification. Zbl 1471.68001Calvetti, Daniela; Somersalo, Erkki 1 2021 Sparse reconstructions from few noisy data: analysis of hierarchical Bayesian models with generalized gamma hyperpriors. Zbl 1464.62365Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki; Strang, Alexander 7 2020 Sparsity promoting hybrid solvers for hierarchical Bayesian inverse problems. Zbl 07303422Calvetti, Daniela; Pragliola, Monica; Somersalo, Erkki 4 2020 A Bayesian filtering approach to layer stripping for electrical impedance tomography. Zbl 1469.35248Calvetti, D.; Nakkireddy, S.; Somersalo, E. 1 2020 Hierachical Bayesian models and sparsity: \(\ell_2\)-magic. Zbl 1490.62078Calvetti, D.; Somersalo, E.; Strang, A. 12 2019 Approximation of continuous EIT data from electrode measurements with Bayesian methods. Zbl 1417.78006Calvetti, D.; Nakkireddy, S.; Somersalo, Erkki 2 2019 Brain energetics plays a key role in the coordination of electrophysiology, metabolism and hemodynamics: evidence from an integrated computational model. Zbl 1416.92047Capo Rangel, G.; Prezioso, J.; Gerardo-Giorda, L.; Somersalo, E.; Calvetti, D. 2 2019 Estimating hemodynamic stimulus and blood vessel compliance from cerebral blood flow data. Zbl 1406.92130Calvetti, D.; Prezioso, J.; Somersalo, E. 1 2019 Iterative updating of model error for Bayesian inversion. Zbl 1386.65056Calvetti, Daniela; Dunlop, Matthew; Somersalo, Erkki; Stuart, Andrew 14 2018 Bayes meets Krylov: statistically inspired preconditioners for CGLS. Zbl 1392.65047Calvetti, D.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 7 2018 A computational model integrating brain electrophysiology and metabolism highlights the key role of extracellular potassium and oxygen. Zbl 1397.92276Calvetti, D.; Capo Rangel, G.; Gerardo Giorda, L.; Somersalo, E. 4 2018 Priorconditioned CGLS-based quasi-MAP estimate, statistical stopping rule, and ranking of priors. Zbl 1392.65046Calvetti, D.; Pitolli, F.; Prezioso, J.; Somersalo, E.; Vantaggi, B. 4 2017 Uncertainty quantification in flux balance analysis of spatially lumped and distributed models of neuron-astrocyte metabolism. Zbl 1350.92006Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 2 2016 A hierarchical Krylov-Bayes iterative inverse solver for MEG with physiological preconditioning. Zbl 1329.35346Calvetti, D.; Pascarella, A.; Pitolli, F.; Somersalo, E.; Vantaggi, B. 8 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. I: Theory and preliminary results. Zbl 1369.35113Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Isaacson, David; Kaipio, Jari P.; McGivney, Debra; Somersalo, Erkki; Volzer, Joseph 5 2015 A spatially distributed computational model of brain cellular metabolism. Zbl 1347.92015Calvetti, Daniela; Cheng, Yougan; Somersalo, Erkki 4 2015 Artificial boundary conditions and domain truncation in electrical impedance tomography. II: Stochastic extension of the boundary map. Zbl 1369.35114Calvetti, Daniela; Hadwin, Paul J.; Huttunen, Janne M. J.; Kaipio, Jari P.; Somersalo, Erkki 4 2015 Variable order smoothness priors for ill-posed inverse problems. Zbl 1309.65045Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben 1 2015 Parameter estimation for stiff deterministic dynamical systems via ensemble Kalman filter. Zbl 1302.93200Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 10 2014 Dynamic updating of numerical model discrepancy using sequential sampling. Zbl 1306.65271Calvetti, Daniela; Ernst, Oliver; Somersalo, Erkki 9 2014 Inverse problems in the Bayesian framework. Zbl 1305.00104 8 2014 Modeling HIV-1 dynamics and fitness in cell culture across scales. Zbl 1297.92047Immonen, Taina; Somersalo, Erkki; Calvetti, Daniela 1 2014 Linear multistep methods, particle filtering and sequential Monte Carlo. Zbl 1279.65089Arnold, Andrea; Calvetti, Daniela; Somersalo, Erkki 11 2013 Bayesian preconditioned CGLS for source separation in MEG time series. Zbl 1273.35315Homa, Laura; Calvetti, Daniela; Hoover, Alexander; Somersalo, Erkki 4 2013 Computational mathematical modeling. An integrated approach across scales. Zbl 1285.00035Calvetti, Daniela; Somersalo, Erkki 4 2013 Left and right preconditioning for electrical impedance tomography with structural information. Zbl 1243.65133Calvetti, Daniela; Mcgivney, Debra; Somersalo, Erkki 8 2012 A hybrid stochastic-deterministic computational model accurately describes spatial dynamics and virus diffusion in HIV-1 growth competition assay. Zbl 1337.92129Immonen, Taina; Gibson, Richard; Leitner, Thomas; Miller, Melanie A.; Arts, Eric J.; Somersalo, Erkki; Calvetti, Daniela 3 2012 A reaction-diffusion model of CO\(_2\) influx into an oocyte. Zbl 1411.92112Somersalo, Erkki; Occhipinti, Rossana; Boron, Walter F.; Calvetti, Daniela 1 2012 Dynamic activation model for a glutamatergic neurovascular unit. Zbl 1331.92027Calvetti, Daniela; Somersalo, Erkki 5 2011 Bayesian mixture models for source separation in MEG. Zbl 1234.92042Calvetti, Daniela; Homa, Laura; Somersalo, Erkki 1 2011 Statistical methods in imaging. Zbl 1259.62057Calvetti, Daniela; Somersalo, Erkki 1 2011 Hierarchical regularization for edge-preserving reconstruction of PET images. Zbl 1188.41023Bardsley, Johnathan M.; Calvetti, Daniela; Somersalo, Erkki 11 2010 Conditionally Gaussian hypermodels for cerebral source localization. Zbl 1176.62107Calvetti, Daniela; Hakula, Harri; Pursiainen, Sampsa; Somersalo, Erkki 17 2009 Hypermodels in the Bayesian imaging framework. Zbl 1137.62062Calvetti, Daniela; Somersalo, Erkki 32 2008 Sampling-based analysis of a spatially distributed model for liver metabolism at steady state. Zbl 1274.62738Calvetti, Daniela; Kuceyeski, Amy; Somersalo, Erkki 6 2008 Dynamic Bayesian sensitivity analysis of a myocardial metabolic model. Zbl 1133.92009Calvetti, D.; Hageman, R.; Occhipinti, R.; Somersalo, E. 1 2008 Statistical inverse problems: discretization, model reduction and inverse crimes. Zbl 1101.65008Kaipio, Jari; Somersalo, Erkki 79 2007 An introduction to Bayesian scientific computing. Ten lectures on subjective computing. Zbl 1137.65010Calvetti, Daniela; Somersalo, Erkki 75 2007 A Gaussian hypermodel to recover blocky objects. Zbl 1112.62018Calvetti, Daniela; Somersalo, Erkki 13 2007 Bayesian stationary state flux balance analysis for a skeletal muscle metabolic model. Zbl 1119.92024Calvetti, Daniela; Heino, Jenni; Somersalo, Erkki; Tunyan, Knarik 4 2007 Microlocal sequential regularization in imaging. Zbl 1141.94305Calvetti, Daniela; Somersalo, Erkki 1 2007 Approximation errors and model reduction with an application in optical diffusion tomography. Zbl 1138.65042Arridge, S. R.; Kaipio, J. P.; Kolehmainen, V.; Schweiger, M.; Somersalo, E.; Tarvainen, T.; Vauhkonen, M. 47 2006 Aristotelian prior boundary conditions. Zbl 1095.94005Calvetti, Daniela; Kaipio, Jari P.; Someralo, Erkki 15 2006 Maxwell’s equations with a polarization independent wave velocity: direct and inverse problems. Zbl 1134.35107Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 12 2006 Large-scale statistical parameter estimation in complex systems with an application to metabolic models. Zbl 1125.92020Calvetti, Daniela; Somersalo, Erkki 6 2006 Local regularization method applied to estimating oxygen consumption during muscle activities. Zbl 1082.62027Calvetti, Daniela; Dash, Ranjan K.; Somersalo, Erkki; Cabrera, Marco E. 4 2006 Using process tomography as a sensor for optimal control. Zbl 1083.65061Ruuskanen, A. R.; Seppänen, A.; Duncan, S.; Somersalo, E.; Kaipio, J. P. 3 2006 Large-scale Bayesian parameter estimation for a three-compartment cardiac metabolism model during ischemia. Zbl 1103.62106Calvetti, Daniela; Hageman, Rachael; Somersalo, Erkki 2 2006 Statistical and computational inverse problems. Zbl 1068.65022Kaipio, Jari; Somersalo, Erkki 395 2005 Priorconditioners for linear systems. Zbl 1087.65044Calvetti, Daniela; Somersalo, Erkki 20 2005 Statistical elimination of boundary artefacts in image deblurring. Zbl 1072.62017Calvetti, Daniela; Somersalo, Erkki 5 2005 Posterior covariance related optimal current patterns in electrical impedance tomography. Zbl 1074.62079Kaipio, J. P.; Seppänen, A.; Somersalo, E.; Haario, H. 8 2004 Focusing waves in eletromagnetic inverse problems. Zbl 1062.35174Kurylev, Yaroslav; Lassas, Matti; Somersalo, Erkki 2 2004 Non-stationary magnetoencephalography by Bayesian filtering of dipole models. Zbl 1046.92034Somersalo, E.; Voutilainen, A.; Kaipio, J. P. 6 2003 Inverse problems for time harmonic electrodynamics. Zbl 1129.78307Ola, Petri; Päivärinta, Lassi; Sommersalo, Erkki 3 2003 Reconstruction of a manifold from electromagnetic boundary measurements. Zbl 1059.35171Kurylev, Yaroslav V.; Lassas, Matti; Somersalo, Erkki 2 2003 Estimation of optical absorption in anisotropic background. Zbl 1003.35124Heino, Jenni; Somersalo, Erkki 6 2002 Analysis of the PML equations in general convex geometry. Zbl 1200.35013Lassas, Matti; Somersalo, Erkki 32 2001 State estimation with fluid dynamical evolution models in process tomography – an application to impedance tomography. Zbl 0986.35134Seppänen, A.; Vauhkonen, M.; Vauhkonen, P. J.; Somersalo, E.; Kaipio, J. P. 14 2001 Complex Riemannian metric and absorbing boundary conditions. Zbl 1031.35141Lassas, Matti; Liukkonen, Jukka; Somersalo, Erkki 10 2001 Uniqueness of identifying the convection term. Zbl 1101.35398Cheng, Jin; Nakamura, Gen; Somersalo, Erkki 8 2001 Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography. Zbl 1044.78513Kaipio, Jari P.; Kolehmainen, Ville; Somersalo, Erkki; Vauhkonen, Marko 70 2000 Nonstationary inverse problems and state estimation. Zbl 0927.35134Kaipio, J.; Somersalo, E. 57 1999 Inverse problems with structural prior information. Zbl 0949.65144Kaipio, J. P.; Kolehmainen, V.; Vauhkonen, M.; Somersalo, E. 36 1999 On the existence and convergence of the solution of PML equations. Zbl 0899.35026Lassas, M.; Somersalo, E. 55 1998 Dynamical electric wire tomography: a time series approach. Zbl 0908.35138Baroudi, Djebar; Kaipio, Jari; Somersalo, Erkki 1 1998 Electrical impedance tomography with basis constraints. Zbl 0872.35130Vauhkonen, M.; Kaipio, J. P.; Somersalo, E.; Karjalainen, P. A. 9 1997 Impedance imaging and electrode models. Zbl 0880.65111Järvenpää, Seppo; Somersalo, Erkki 1 1997 Electromagnetic inverse problems and generalized Sommerfeld potentials. Zbl 0858.35138Ola, Petri; Somersalo, Erkki 29 1996 Reconstruction of singularities of a scattering potential in two dimensions. Zbl 0810.35149Päivärinta, Lassi; Serov, Valeri S.; Somersalo, Erkki 9 1994 Layer stripping for time-harmonic Maxwell’s equations with high frequency. Zbl 0809.35162Sommersalo, Erkki 4 1994 An inverse boundary value problem in electrodynamics. Zbl 0804.35152Ola, Petri; Päivärinta, Lassi; Somersalo, Erkki 55 1993 Existence and uniqueness for electrode models for electric current computed tomography. Zbl 0759.35055Somersalo, Erkki; Cheney, Margaret; Isaacson, David 123 1992 A linearized inverse boundary value problem for Maxwell’s equations. Zbl 0757.65128Somersalo, Erkki; Isaacson, David; Cheney, Margaret 31 1992 Layer stripping: a direct numerical method for impedance imaging. Zbl 0753.35122Somersalo, Erkki; Cheney, Margaret; Isaacson, David; Isaacson, Eli 14 1991 Inversion of discontinuities for the Schrödinger equation in three dimensions. Zbl 0731.35095Päivärinta, Lassi; Somersalo, Erkki 14 1991 Linear inverse problems for generalised random variables. Zbl 0681.60015Lehtinen, Markku S.; Päivärinta, Lassi; Somersalo, Erkki 30 1989 Electromagnetic inverse problems with surface measurements at low frequencies. Zbl 0712.35103Ramm, Alexander G.; Somersalo, Erkki 3 1989 One-dimensional electromagnetic inverse reflection problem: Formulation as a Riemann-Hilbert problem and imaging of discontinuities. Zbl 0676.45005Somersalo, Erkki 1 1989 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 A generalization of the Calderón-Vaillancourt theorem to \(L^ p\) and \(h^ p\). Zbl 0672.35076Päivärinta, L.; Somersalo, E. 18 1988 The uniqueness of the one-dimensional electromagnetic inversion with bounded potentials. Zbl 0639.35066Päivärinta, Lassi; Somersalo, Erkki 1 1987 The Backus-Gilbert method revisited: Background, implementation and examples. Zbl 0619.65134Haario, Heikko; Somersalo, Erkki 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 1,573 Authors 33 Somersalo, Erkki 28 Calvetti, Daniela 27 Kaipio, Jari P. 27 Stuart, Andrew M. 26 Hyvönen, Nuutti 19 Lassas, Matti J. 16 Kolehmainen, Ville 16 Marzouk, Youssef M. 16 Uhlmann, Gunther Alberto 14 Jin, Bangti 14 Li, Peijun 12 Bardsley, Johnathan M. 10 Arridge, Simon R. 10 Huttunen, Janne M. J. 10 Soize, Christian 9 Kurylëv, Yaroslav Vadimovich 9 Li, Jinglai 9 Seppänen, Aku 8 Bao, Gang 8 Cui, Tiangang 8 Helin, Tapio 8 Iglesias, Marco A. 8 Pitolli, Francesca 8 Siltanen, Samuli 8 Vauhkonen, Marko 7 Ammari, Habib M. 7 Chung, Julianne M. 7 Dunlop, Matthew M. 7 Girolami, Mark A. 7 Lionheart, William Robert Breckon 7 Maass, Peter 7 Pereyra, Marcelo 7 Salo, Mikko 7 Staboulis, Stratos 7 Yan, Liang 6 Alsaker, Melody 6 Bissantz, Nicolai 6 Burger, Martin 6 Dette, Holger 6 Garde, Henrik 6 Harrach, Bastian 6 Hosseini, Bamdad 6 Khan, Taufiquar 6 Law, Kody J. H. 6 Ola, Petri 6 Orlande, Helcio Rangel Barreto 6 Päivärinta, Lassi 6 Pasciak, Joseph E. 6 Roininen, Lassi 6 Sanz-Alonso, Daniel 6 Serov, Valery S. 6 Tempone, Raúl F. 6 Wu, Haijun 5 Arnold, Andrea 5 Bui-Thanh, Tan 5 Castello, Daniel Alves 5 Chung, Matthias 5 Ghattas, Omar N. 5 Greenleaf, Allan 5 Hauptmann, Andreas 5 Jia, Junxiong 5 Lai, Ru-Yu 5 Mueller, Jennifer L. 5 Mustonen, Lauri 5 Nakamura, Gen 5 Nannen, Lothar 5 Petra, Noemi 5 Prudhomme, Serge 5 Sabelfeld, Karl Karlovich 5 Saibaba, Arvind Krishna 5 Santacesaria, Matteo 5 Sun, Jiguang 5 Tarvainen, Tanja 5 Zhang, Xiaoqun 5 Zou, Jun 4 Abdulle, Assyr 4 Agapiou, Sergios 4 Alexanderian, Alen 4 Aykroyd, Robert G. 4 Barceló, Juan Antonio 4 Capistrán, Marcos A. 4 Caro, Pedro 4 Chen, Zhiming 4 Cheng, Jin 4 Christen, J. Andrés 4 Darbas, Marion 4 Deng, Zhiliang 4 Durmus, Alain 4 Fox, Colin D. 4 Gerardo-Giorda, Luca 4 Glatt-Holtz, Nathan E. 4 Gröhn, Olli 4 Guenneau, Sébastien 4 Hannukainen, Antti 4 Hansen, Per Christian 4 Harlim, John 4 Jia, Zhongxiao 4 Jiang, Lijian 4 Jiang, Xue 4 Kaltenbacher, Barbara ...and 1,473 more Authors all top 5 Cited in 202 Serials 76 Inverse Problems 57 Journal of Computational Physics 51 Inverse Problems and Imaging 43 Inverse Problems in Science and Engineering 43 SIAM/ASA Journal on Uncertainty Quantification 39 SIAM Journal on Scientific Computing 29 Computer Methods in Applied Mechanics and Engineering 26 SIAM Journal on Imaging Sciences 19 SIAM Journal on Applied Mathematics 15 Journal of Computational and Applied Mathematics 14 International Journal for Numerical Methods in Engineering 14 Journal of Inverse and Ill-Posed Problems 13 Mathematics of Computation 13 Statistics and Computing 12 Computers & Mathematics with Applications 12 Journal of Mathematical Analysis and Applications 12 SIAM Journal on Numerical Analysis 11 Numerische Mathematik 10 SIAM Journal on Mathematical Analysis 10 Journal of Mathematical Imaging and Vision 10 Journal of Theoretical Biology 9 Journal of Differential Equations 9 Applied Numerical Mathematics 8 Applicable Analysis 8 Communications in Computational Physics 7 Journal of Mathematical Physics 7 Mathematical Biosciences 7 Communications in Partial Differential Equations 6 Communications in Mathematical Physics 6 Bulletin of Mathematical Biology 6 Journal of Scientific Computing 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Problems in Engineering 6 Multiscale Modeling & Simulation 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 The Annals of Applied Statistics 5 Mathematical Methods in the Applied Sciences 5 BIT 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Applied Mathematical Modelling 5 International Journal of Computer Mathematics 5 Engineering Analysis with Boundary Elements 5 Computational Geosciences 5 Archives of Computational Methods in Engineering 4 Archive for Rational Mechanics and Analysis 4 Journal of Statistical Physics 4 Scandinavian Journal of Statistics 4 Applied Mathematics and Computation 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Mathematics and Computers in Simulation 4 COMPEL 4 SIAM Review 4 Computational Statistics and Data Analysis 4 Advances in Computational Mathematics 4 Mathematical Biosciences and Engineering 3 Journal of Mathematical Biology 3 Duke Mathematical Journal 3 Computational Mechanics 3 Numerical Algorithms 3 Computational Mathematics and Mathematical Physics 3 Journal of Applied Statistics 3 Combustion Theory and Modelling 3 Journal of Machine Learning Research (JMLR) 3 SIAM Journal on Applied Dynamical Systems 3 Acta Numerica 3 Computational & Mathematical Methods in Medicine 3 Electronic Journal of Statistics 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Computers and Fluids 2 Computer Physics Communications 2 International Journal of Engineering Science 2 International Journal of Heat and Mass Transfer 2 Journal of Engineering Mathematics 2 Wave Motion 2 Advances in Mathematics 2 Annals of the Institute of Statistical Mathematics 2 Collectanea Mathematica 2 Journal of the American Statistical Association 2 Journal of Multivariate Analysis 2 Meccanica 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Statistical Science 2 Journal of Integral Equations and Applications 2 The Journal of Geometric Analysis 2 Test 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Sciences (New York) 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Bernoulli 2 The Journal of Fourier Analysis and Applications 2 Nonlinear Dynamics 2 European Journal of Mechanics. A. Solids 2 Optimization and Engineering 2 Journal of Applied Mathematics ...and 102 more Serials all top 5 Cited in 44 Fields 521 Numerical analysis (65-XX) 387 Partial differential equations (35-XX) 306 Statistics (62-XX) 180 Optics, electromagnetic theory (78-XX) 162 Biology and other natural sciences (92-XX) 84 Probability theory and stochastic processes (60-XX) 75 Information and communication theory, circuits (94-XX) 66 Mechanics of deformable solids (74-XX) 61 Fluid mechanics (76-XX) 54 Computer science (68-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 39 Operator theory (47-XX) 36 Geophysics (86-XX) 32 Operations research, mathematical programming (90-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 29 Systems theory; control (93-XX) 19 Integral equations (45-XX) 19 Functional analysis (46-XX) 18 Ordinary differential equations (34-XX) 18 Classical thermodynamics, heat transfer (80-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Integral transforms, operational calculus (44-XX) 8 Approximations and expansions (41-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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