Edit Profile (opens in new tab) Kaltenbacher, Barbara Co-Author Distance Author ID: kaltenbacher.barbara Published as: Kaltenbacher, Barbara; Kaltenbacher, B.; Blaschke-Kaltenbacher, Barbara; Blaschke, Barbara; Blaschke, B. more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 149 Publications since 1996, including 4 Books and 8 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 92 Co-Authors with 123 Joint Publications 2,890 Co-Co-Authors all top 5 Co-Authors 31 single-authored 16 Rundell, William 12 Nikolić, Vanja 9 Lasiecka, Irena 7 Clason, Christian 6 Neubauer, Andreas 6 Resmerita, Elena 5 Kaltenbacher, Manfred 5 Veljović, Slobodan 4 Hofmann, Bernd 4 Nguyen, Tram Thi Ngoc 4 Rendl, Franz 4 Scherzer, Otmar 4 Schuster, Thomas 3 Boiger, Romana 3 Borcea, Liliana 3 Burger, Martin 3 Hohage, Thorsten 3 Kirchner, Alana 3 Lahmer, Tom 3 Vexler, Boris 2 Brunnhuber, Rainer 2 Engl, Heinz W. 2 Hämarik, Uno 2 Hasenauer, Jan 2 Heuberger, Clemens 2 Huynh, Kha Van 2 Jordan, Pedro M. 2 Kangro, Urve 2 Klassen, Andrej 2 Klibanov, Michael V. 2 Lorenzi, Alfredo 2 Meliani, Mostafa 2 Mohr, Marcus 2 Offtermatt, Jonas 2 Pedretscher, Barbara 2 Pötzsche, Christian 2 Previatti de Souza, Mario Luiz 2 Schicho, Josef 2 Schlintl, Anna 2 Thalhammer, Mechthild 2 Tomba, Ivan 2 Tuffaha, Amjad M. 2 Wald, Anne 1 Ammari, Habib 1 Bänsch, Eberhard 1 Baumeister, Johann 1 Bodnár, Gábor 1 Bredies, Kristian 1 Cassani, Daniele 1 Fiedler, Anna 1 Grever, Wilhelm 1 Griesbaum, Anke 1 Hinze, Michael 1 Hroß, S. 1 Hungerländer, Philipp 1 Kartmann, Michael 1 Kazimierski, Kamil S. 1 Keil, Tim 1 Khristenko, Ustim 1 Krejčí, Pavel 1 Kukavica, Igor 1 Leitão, Antonio 1 Leugering, Günter 1 Marchand, Richard J. 1 Nakamura, Gen 1 Ohlberger, Mario 1 Pau, Petru 1 Peichl, Gunther H. 1 Pfeiler, O. 1 Polifke, Wolfgang 1 Pöschl, Christiane 1 Pospieszalska, Maria K. 1 Quyen, Tran Nhan Tam 1 Radu, Petronela 1 Rajendran, Mabel Lizzy 1 Ramm, Alexander G. 1 Reitzinger, Stefan 1 Schöberl, Joachim 1 Schöpfer, Frank 1 Schulz, Volker H. 1 Schury, Fabian 1 Sim, Imbo 1 Steinhorst, Peter 1 Triggiani, Roberto 1 Volkwein, Stefan 1 Wachsmuth, Daniel 1 Walk, Harro 1 Watanabe, Michiyuki 1 Webster, Justin T. 1 Wein, Fabian 1 Wohlmuth, Barbara I. 1 Yamamoto, Masahiro all top 5 Serials 33 Inverse Problems 9 Inverse Problems and Imaging 7 Journal of Mathematical Analysis and Applications 7 Journal of Inverse and Ill-Posed Problems 7 Evolution Equations and Control Theory 6 Numerische Mathematik 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Computational Physics 4 Discrete and Continuous Dynamical Systems 3 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 3 European Journal of Applied Mathematics 3 Oberwolfach Reports 2 Applicable Analysis 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Journal of Integral Equations and Applications 2 SIAM Journal on Mathematical Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Inverse Problems in Science and Engineering 2 PAMM. Proceedings in Applied Mathematics and Mechanics 2 Radon Series on Computational and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Control and Cybernetics 1 Mathematische Nachrichten 1 Meccanica 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 Journal of Complexity 1 COMPEL 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Nonlinear World 1 European Mathematical Society Newsletter 1 Structural and Multidisciplinary Optimization 1 Graduate Studies in Mathematics 1 Oberwolfach Seminars 1 Discrete and Continuous Dynamical Systems. Series S 1 IFIP Advances in Information and Communication Technology 1 Palestine Journal of Mathematics 1 Pure and Applied Functional Analysis all top 5 Fields 94 Partial differential equations (35-XX) 78 Numerical analysis (65-XX) 37 Operator theory (47-XX) 23 Fluid mechanics (76-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 9 General and overarching topics; collections (00-XX) 8 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 7 Operations research, mathematical programming (90-XX) 7 Systems theory; control (93-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 2,162 times in 1,182 Documents Cited by ▼ Year ▼ Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037 Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar 339 2008 Regularization methods in Banach spaces. Zbl 1259.65087 Schuster, Thomas; Kaltenbacher, Barbara; Hofmann, Bernd; Kazimierski, Kamil S. 211 2012 A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046 Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. 150 2007 Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1318.35080 Kaltenbacher, Barbara; Lasiecka, Irena; Marchand, Richard 116 2011 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050 Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 83 1997 Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1257.35131 Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K. 65 2012 Global existence and exponential decay rates for the Westervelt equation. Zbl 1180.35108 Kaltenbacher, Barbara; Lasiecka, Irena 53 2009 Mathematics of nonlinear acoustics. Zbl 1339.35003 Kaltenbacher, Barbara 50 2015 Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems. Zbl 1176.65070 Kaltenbacher, Barbara; Schöpfer, Frank; Schuster, Thomas 47 2009 Some Newton-type methods for the regularization of nonlinear ill-posed problems. Zbl 0880.65033 Kaltenbacher, Barbara 45 1997 On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233 Kaltenbacher, Barbara; Rundell, William 33 2019 Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems. Zbl 1112.65049 Burger, Martin; Kaltenbacher, Barbara 33 2006 Convergence rates for the iteratively regularized Gauss-Newton method in Banach spaces. Zbl 1204.65060 Kaltenbacher, Barbara; Hofmann, Bernd 31 2010 A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems. Zbl 0908.65042 Kaltenbacher, Barbara 30 1998 The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206 Kaltenbacher, Barbara; Nikolić, Vanja 29 2019 Well-posedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions. Zbl 1306.35075 Kaltenbacher, Barbara; Lasiecka, Irena 25 2011 Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285 Kaltenbacher, Barbara; Rundell, William 25 2019 An analysis of nonhomogeneous Kuznetsov’s equation: Local and global well-posedness; exponential decay. Zbl 1235.35040 Kaltenbacher, Barbara; Lasiecka, Irena 24 2012 Regularization by projection with a posteriori discretization level choice for linear and nonlinear ill-posed problems. Zbl 0978.65045 Kaltenbacher, Barbara 21 2000 Boundary optimal control of the Westervelt and the Kuznetsov equations. Zbl 1163.49026 Clason, Christian; Kaltenbacher, Barbara; Veljović, Slobodan 21 2009 On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071 Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio 21 2010 Identifying conductivity in electrical impedance tomography with total variation regularization. Zbl 1397.65238 Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam 20 2018 A modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacoustics. Zbl 1291.35122 Kaltenbacher, Barbara; Kaltenbacher, Manfred; Sim, Imbo 18 2013 Well-posedness and exponential decay for the Westervelt equation with inhomogeneous Dirichlet boundary data. Zbl 1250.35145 Kaltenbacher, Barbara; Lasiecka, Irena; Veljović, Slobodan 18 2011 The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055 Kaltenbacher, Barbara; Rundell, William 18 2020 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005 Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 17 2018 Identification of nonlinear B-H curves based on magnetic field computations and multigrid methods for ill-posed problems. Zbl 1052.78009 Kaltenbacher, Barbara; Kaltenbacher, Manfred; Reitzinger, Stefan 17 2003 Exponential decay for low and higher energies in the third order linear Moore-Gibson-Thompson equation with variable viscosity. Zbl 1243.35022 Kaltenbacher, Barbara; Lasiecka, Irena 17 2012 Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions. Zbl 1095.65048 Kaltenbacher, B.; Neubauer, A. 16 2006 On the regularizing properties of a full multigrid method for ill-posed problems. Zbl 0993.65061 Kaltenbacher, Barbara 14 2001 All-at-once versus reduced iterative methods for time dependent inverse problems. Zbl 1433.65197 Kaltenbacher, B. 14 2017 A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042 Kaltenbacher, B. 14 2008 An inverse problem for a nonlinear parabolic equation with applications in population dynamics and magnetics. Zbl 1156.35486 Kaltenbacher, Barbara; Klibanov, Michael V. 14 2008 Lavrentiev’s regularization method in Hilbert spaces revisited. Zbl 1348.65091 Hofmann, Bernd; Kaltenbacher, Barbara; Resmerita, Elena 13 2016 Direct and inverse problems related to MEMS. Zbl 1180.35550 Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo 13 2009 Regularization based on all-at-once formulations for inverse problems. Zbl 1347.65104 Kaltenbacher, Barbara 13 2016 Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Zbl 1151.65052 Griesbaum, Anke; Kaltenbacher, Barbara; Vexler, Boris 13 2008 Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation. Zbl 1349.76794 Shevchenko, Igor; Kaltenbacher, Barbara 12 2015 Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Zbl 1231.35306 Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris 12 2011 On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359 Kaltenbacher, Barbara; Rundell, William 12 2019 Boundary observability and stabilization for Westervelt type wave equations without interior damping. Zbl 1207.35206 Kaltenbacher, Barbara 12 2010 On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs. Zbl 1415.65128 Kaltenbacher, Barbara; Klassen, Andrej 11 2018 Fundamental models in nonlinear acoustics. I: Analytical comparison. Zbl 1421.35226 Kaltenbacher, Barbara; Thalhammer, Mechthild 11 2018 Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation. Zbl 1312.35019 Brunnhuber, Rainer; Kaltenbacher, Barbara 11 2014 On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453 Kaltenbacher, Barbara; Rundell, William 11 2021 A projection-regularized Newton method for nonlinear ill-posed problems and its application to parameter identification problems with finite element discretization. Zbl 0965.65085 Kaltenbacher, Barbara 10 2000 On Broyden’s method for the regularization of nonlinear ill-posed problems. Zbl 0914.65066 Kaltenbacher, Barbara 10 1998 Minimization based formulations of inverse problems and their regularization. Zbl 1453.65129 Kaltenbacher, Barbara 10 2018 PDE based determination of piezoelectric material tensors. Zbl 1123.74017 Kaltenbacher, Barbara; Lahmer, Tom; Mohr, Marcus; Kaltenbacher, Manfred 10 2006 Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. Zbl 1378.49051 Nikolić, Vanja; Kaltenbacher, Barbara 9 2017 A saddle point variational formulation for projection-regularized parameter identification. Zbl 1002.65120 Kaltenbacher, Barbara; Schöberl, Joachim 9 2002 Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. Zbl 1304.65154 Kaltenbacher, B.; Kirchner, A.; Vexler, B. 9 2014 Toward global convergence for strongly nonlinear ill-posed problems via a regularizing multilevel approach. Zbl 1101.65054 Kaltenbacher, Barbara 9 2006 A convergence analysis of regularization by discretization in preimage space. Zbl 1281.65087 Kaltenbacher, Barbara; Offtermatt, Jonas 9 2012 Vanishing relaxation time limit of the Jordan-Moore-Gibson-Thompson wave equation with Neumann and absorbing boundary conditions. Zbl 1461.35156 Kaltenbacher, Barbara; Nikolić, Vanja 9 2020 The inviscid limit of third-order linear and nonlinear acoustic equations. Zbl 1475.35282 Kaltenbacher, Barbara; Nikolić, Vanja 9 2021 Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. Zbl 1304.35434 Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela 8 2014 An online parameter identification method for time dependent partial differential equations. Zbl 1339.93041 Boiger, Romana; Kaltenbacher, Barbara 8 2016 Convergence rates for an iteratively regularized Newton-Landweber iteration in Banach space. Zbl 1285.65033 Kaltenbacher, Barbara; Tomba, Ivan 8 2013 Well-posedness of a general higher order model in nonlinear acoustics. Zbl 1457.76141 Kaltenbacher, Barbara 7 2017 A convergence rates result for an iteratively regularized Gauss-Newton-Halley method in Banach space. Zbl 1314.65079 Kaltenbacher, B. 7 2015 A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems. Zbl 1011.65027 Kaltenbacher, Barbara; Schicho, Josef 7 2002 Convergence rates of the continuous regularized Gauss-Newton method. Zbl 1016.65038 Kaltenbacher, B.; Neubauer, A.; Ramm, A. G. 7 2002 Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space. Zbl 1416.65160 Kaltenbacher, Barbara; Previatti de Souza, Mario Luiz 7 2018 Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358 Kaltenbacher, Barbara; Rundell, William 7 2020 On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311 Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara 7 2009 The tangential cone condition for some coefficient identification model problems in parabolic PDEs. Zbl 1487.35343 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar 7 2021 Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396 Kaltenbacher, Barbara; Rundell, William 7 2021 V-cycle convergence of some multigrid methods for ill-posed problems. Zbl 1035.65056 Kaltenbacher, Barbara 7 2003 Efficient time integration methods based on operator splitting and application to the Westervelt equation. Zbl 1327.76126 Kaltenbacher, Barbara; Nikolic, Vanja; Thalhammer, Mechthild 6 2015 Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems. Zbl 1350.65060 Kaltenbacher, Barbara; Rendl, Franz; Resmerita, Elena 6 2016 On higher regularity for the westervelt equation with strong nonlinear damping. Zbl 1353.35093 Nikolić, Vanja; Kaltenbacher, Barbara 6 2016 Functional error estimators for the adaptive discretization of inverse problems. Zbl 1354.65111 Clason, Christian; Kaltenbacher, Barbara; Wachsmuth, Daniel 6 2016 Avoiding degeneracy in the Westervelt equation by state constrained optimal control. Zbl 1269.49038 Clason, Christian; Kaltenbacher, Barbara 6 2013 Integration based profile likelihood calculation for PDE constrained parameter estimation problems. Zbl 1359.62472 Boiger, R.; Hasenauer, J.; Hroß, S.; Kaltenbacher, B. 6 2016 Convergence rates of a multilevel method for the regularization of nonlinear ill-posed problems. Zbl 1156.65053 Kaltenbacher, B. 6 2008 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433 Kaltenbacher, Barbara; Nikolić, Vanja 6 2022 On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412 Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian 5 2011 Regularization of inverse problems via box constrained minimization. Zbl 07208028 Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz 5 2020 Regularization by discretization in Banach spaces. Zbl 1342.65136 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 5 2016 Absorbing boundary conditions for the Westervelt equation. Zbl 1339.35158 Kaltenbacher, Barbara; Shevchenko, Igor 5 2015 Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068 Huynh, Kha Van; Kaltenbacher, Barbara 5 2021 The shape derivative for an optimization problem in lithotripsy. Zbl 1350.49064 Kaltenbacher, Barbara; Peichl, Gunther 4 2016 Some regularization methods for a thermoacoustic inverse problem. Zbl 1279.80003 Kaltenbacher, Barbara; Polifke, Wolfgang 4 2010 Sensitivity analysis of linear and nonlinear lithotripter models. Zbl 1215.35170 Kaltenbacher, Barbara; Veljović, Slobodan 4 2011 On the use of state constraints in optimal control of singular PDEs. Zbl 1260.49003 Clason, Christian; Kaltenbacher, Barbara 4 2013 On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951 Kaltenbacher, Barbara; Rundell, William 4 2022 Periodic solutions and multiharmonic expansions for the Westervelt equation. Zbl 1476.35131 Kaltenbacher, Barbara 4 2021 Determining damping terms in fractional wave equations. Zbl 1491.35462 Kaltenbacher, Barbara; Rundell, William 4 2022 Parameter estimation in SDEs via the Fokker-Planck equation: likelihood function and adjoint based gradient computation. Zbl 1390.60210 Kaltenbacher, Barbara; Pedretscher, Barbara 3 2018 On convergence rates of some iterative regularization methods for an inverse for a nonlinear parabolic equation connected with continuous casting of steel. Zbl 0921.35190 Kaltenbacher, B. 3 1999 Optimal control of a singular PDE modeling transient MEMS with control or state constraints. Zbl 1307.49020 Clason, Christian; Kaltenbacher, Barbara 3 2014 Well-posedness of the Westervelt equation with higher order absorbing boundary conditions. Zbl 1421.35246 Kaltenbacher, Barbara; Shevchenko, Igor 3 2019 Parameter identification for the Landau-Lifshitz-Gilbert equation in magnetic particle imaging. Zbl 1489.35289 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Wald, Anne; Schuster, Thomas 3 2021 Optimal measurement selection for piezoelectric material tensor identification. Zbl 1258.74075 Lahmer, T.; Kaltenbacher, B.; Schulz, V. 3 2008 Convergence rates for the iteratively regularized Landweber iteration in Banach space. Zbl 1266.49070 Kaltenbacher, Barbara 3 2013 A uniqueness result for a nonlinear hyperbolic equation. Zbl 1147.35111 Kaltenbacher, Barbara; Lorenzi, Alfredo 3 2007 The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. Zbl 1418.65055 Kaltenbacher, Barbara; Klassen, Andrej; Previatti De Souza, Mario Luiz 3 2019 Time-dependent problems in imaging and parameter identification. Zbl 1471.65006 3 2021 An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. Zbl 1327.65102 Kaltenbacher, Barbara 2 2015 On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. Zbl 1527.35494 Kaltenbacher, Barbara; Rundell, William 1 2023 Inverse problems for fractional partial differential equations. Zbl 07674929 Kaltenbacher, Barbara; Rundell, William 1 2023 On the inverse problem of vibro-acoustography. Zbl 1519.74036 Kaltenbacher, Barbara 1 2023 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433 Kaltenbacher, Barbara; Nikolić, Vanja 6 2022 On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951 Kaltenbacher, Barbara; Rundell, William 4 2022 Determining damping terms in fractional wave equations. Zbl 1491.35462 Kaltenbacher, Barbara; Rundell, William 4 2022 Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation. Zbl 07524786 Kaltenbacher, Barbara; Schlintl, Anna 1 2022 Iterative regularization for constrained minimization formulations of nonlinear inverse problems. Zbl 1487.90605 Kaltenbacher, Barbara; Van Huynh, Kha 1 2022 Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics. Zbl 1485.35296 Kaltenbacher, Barbara; Nikolić, Vanja 1 2022 On the determination of a coefficient in a space-fractional equation with operators of Abel type. Zbl 1497.35518 Kaltenbacher, Barbara; Rundell, William 1 2022 Discretization of parameter identification in PDEs using neural networks. Zbl 1512.65197 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc 1 2022 Determining kernels in linear viscoelasticity. Zbl 07540364 Kaltenbacher, Barbara; Khristenko, Ustim; Nikolić, Vanja; Rajendran, Mabel Lizzy; Wohlmuth, Barbara 1 2022 On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453 Kaltenbacher, Barbara; Rundell, William 11 2021 The inviscid limit of third-order linear and nonlinear acoustic equations. Zbl 1475.35282 Kaltenbacher, Barbara; Nikolić, Vanja 9 2021 The tangential cone condition for some coefficient identification model problems in parabolic PDEs. Zbl 1487.35343 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar 7 2021 Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396 Kaltenbacher, Barbara; Rundell, William 7 2021 Some application examples of minimization based formulations of inverse problems and their regularization. Zbl 1473.65068 Huynh, Kha Van; Kaltenbacher, Barbara 5 2021 Periodic solutions and multiharmonic expansions for the Westervelt equation. Zbl 1476.35131 Kaltenbacher, Barbara 4 2021 Parameter identification for the Landau-Lifshitz-Gilbert equation in magnetic particle imaging. Zbl 1489.35289 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Wald, Anne; Schuster, Thomas 3 2021 Time-dependent problems in imaging and parameter identification. Zbl 1471.65006 3 2021 An inverse source problem related to acoustic nonlinearity parameter imaging. Zbl 1489.35292 Yamamoto, Masahiro; Kaltenbacher, Barbara 2 2021 A model reference adaptive system approach for nonlinear online parameter identification. Zbl 1461.93255 Kaltenbacher, Barbara; Ngoc Nguyen, Tram Thi 1 2021 The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055 Kaltenbacher, Barbara; Rundell, William 18 2020 Vanishing relaxation time limit of the Jordan-Moore-Gibson-Thompson wave equation with Neumann and absorbing boundary conditions. Zbl 1461.35156 Kaltenbacher, Barbara; Nikolić, Vanja 9 2020 Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358 Kaltenbacher, Barbara; Rundell, William 7 2020 Regularization of inverse problems via box constrained minimization. Zbl 07208028 Hungerländer, Philipp; Kaltenbacher, Barbara; Rendl, Franz 5 2020 On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381 Kaltenbacher, Barbara; Rundell, William 2 2020 Preface: Optimal control and inverse problems. Zbl 1435.00059 1 2020 On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233 Kaltenbacher, Barbara; Rundell, William 33 2019 The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206 Kaltenbacher, Barbara; Nikolić, Vanja 29 2019 Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285 Kaltenbacher, Barbara; Rundell, William 25 2019 On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359 Kaltenbacher, Barbara; Rundell, William 12 2019 Well-posedness of the Westervelt equation with higher order absorbing boundary conditions. Zbl 1421.35246 Kaltenbacher, Barbara; Shevchenko, Igor 3 2019 The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. Zbl 1418.65055 Kaltenbacher, Barbara; Klassen, Andrej; Previatti De Souza, Mario Luiz 3 2019 Identifying conductivity in electrical impedance tomography with total variation regularization. Zbl 1397.65238 Hinze, Michael; Kaltenbacher, Barbara; Quyen, Tran Nhan Tam 20 2018 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005 Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 17 2018 On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs. Zbl 1415.65128 Kaltenbacher, Barbara; Klassen, Andrej 11 2018 Fundamental models in nonlinear acoustics. I: Analytical comparison. Zbl 1421.35226 Kaltenbacher, Barbara; Thalhammer, Mechthild 11 2018 Minimization based formulations of inverse problems and their regularization. Zbl 1453.65129 Kaltenbacher, Barbara 10 2018 Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space. Zbl 1416.65160 Kaltenbacher, Barbara; Previatti de Souza, Mario Luiz 7 2018 Parameter estimation in SDEs via the Fokker-Planck equation: likelihood function and adjoint based gradient computation. Zbl 1390.60210 Kaltenbacher, Barbara; Pedretscher, Barbara 3 2018 All-at-once versus reduced iterative methods for time dependent inverse problems. Zbl 1433.65197 Kaltenbacher, B. 14 2017 Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. Zbl 1378.49051 Nikolić, Vanja; Kaltenbacher, Barbara 9 2017 Well-posedness of a general higher order model in nonlinear acoustics. Zbl 1457.76141 Kaltenbacher, Barbara 7 2017 Lavrentiev’s regularization method in Hilbert spaces revisited. Zbl 1348.65091 Hofmann, Bernd; Kaltenbacher, Barbara; Resmerita, Elena 13 2016 Regularization based on all-at-once formulations for inverse problems. Zbl 1347.65104 Kaltenbacher, Barbara 13 2016 An online parameter identification method for time dependent partial differential equations. Zbl 1339.93041 Boiger, Romana; Kaltenbacher, Barbara 8 2016 Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems. Zbl 1350.65060 Kaltenbacher, Barbara; Rendl, Franz; Resmerita, Elena 6 2016 On higher regularity for the westervelt equation with strong nonlinear damping. Zbl 1353.35093 Nikolić, Vanja; Kaltenbacher, Barbara 6 2016 Functional error estimators for the adaptive discretization of inverse problems. Zbl 1354.65111 Clason, Christian; Kaltenbacher, Barbara; Wachsmuth, Daniel 6 2016 Integration based profile likelihood calculation for PDE constrained parameter estimation problems. Zbl 1359.62472 Boiger, R.; Hasenauer, J.; Hroß, S.; Kaltenbacher, B. 6 2016 Regularization by discretization in Banach spaces. Zbl 1342.65136 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 5 2016 The shape derivative for an optimization problem in lithotripsy. Zbl 1350.49064 Kaltenbacher, Barbara; Peichl, Gunther 4 2016 The least error method for sparse solution reconstruction. Zbl 1354.65105 Bredies, K.; Kaltenbacher, B.; Resmerita, E. 1 2016 Erratum to: “Regularization by discretization in Banach spaces”. Zbl 1382.65160 Hämarik, Uno; Kaltenbacher, Barbara; Kangro, Urve; Resmerita, Elena 1 2016 A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis. Zbl 07775073 Kaltenbacher, Barbara; Krejčí, Pavel 1 2016 Mathematics of nonlinear acoustics. Zbl 1339.35003 Kaltenbacher, Barbara 50 2015 Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation. Zbl 1349.76794 Shevchenko, Igor; Kaltenbacher, Barbara 12 2015 A convergence rates result for an iteratively regularized Gauss-Newton-Halley method in Banach space. Zbl 1314.65079 Kaltenbacher, B. 7 2015 Efficient time integration methods based on operator splitting and application to the Westervelt equation. Zbl 1327.76126 Kaltenbacher, Barbara; Nikolic, Vanja; Thalhammer, Mechthild 6 2015 Absorbing boundary conditions for the Westervelt equation. Zbl 1339.35158 Kaltenbacher, Barbara; Shevchenko, Igor 5 2015 An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. Zbl 1327.65102 Kaltenbacher, Barbara 2 2015 Iterative solution methods. 2nd edition. Zbl 1331.65080 Burger, Martin; Kaltenbacher, Barbara; Neubauer, Andreas 1 2015 Enhanced choice of the parameters in an iteratively regularized Newton-Landweber iteration in Banach space. Zbl 1338.65154 Tomba, Ivan; Kaltenbacher, Barbara 1 2015 Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation. Zbl 1312.35019 Brunnhuber, Rainer; Kaltenbacher, Barbara 11 2014 Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. Zbl 1304.65154 Kaltenbacher, B.; Kirchner, A.; Vexler, B. 9 2014 Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. Zbl 1304.35434 Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela 8 2014 Optimal control of a singular PDE modeling transient MEMS with control or state constraints. Zbl 1307.49020 Clason, Christian; Kaltenbacher, Barbara 3 2014 Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. Reduced formulation. Zbl 1303.65044 Kaltenbacher, B.; Kirchner, A.; Veljović, S. 2 2014 System modeling and optimization. 26th IFIP TC 7 conference, CSMO 2013, Klagenfurt, Austria, September 9–13, 2013. Revised selected papers. Zbl 1304.00054 1 2014 A modified and stable version of a perfectly matched layer technique for the 3-D second order wave equation in time domain with an application to aeroacoustics. Zbl 1291.35122 Kaltenbacher, Barbara; Kaltenbacher, Manfred; Sim, Imbo 18 2013 Convergence rates for an iteratively regularized Newton-Landweber iteration in Banach space. Zbl 1285.65033 Kaltenbacher, Barbara; Tomba, Ivan 8 2013 Avoiding degeneracy in the Westervelt equation by state constrained optimal control. Zbl 1269.49038 Clason, Christian; Kaltenbacher, Barbara 6 2013 On the use of state constraints in optimal control of singular PDEs. Zbl 1260.49003 Clason, Christian; Kaltenbacher, Barbara 4 2013 Convergence rates for the iteratively regularized Landweber iteration in Banach space. Zbl 1266.49070 Kaltenbacher, Barbara 3 2013 Application of the reciprocity principle for the determination of planar cracks in piezoelectric material. Zbl 1442.74215 Steinhorst, Peter; Kaltenbacher, Barbara 2 2013 Regularization methods in Banach spaces. Zbl 1259.65087 Schuster, Thomas; Kaltenbacher, Barbara; Hofmann, Bernd; Kazimierski, Kamil S. 211 2012 Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1257.35131 Kaltenbacher, Barbara; Lasiecka, Irena; Pospieszalska, Maria K. 65 2012 An analysis of nonhomogeneous Kuznetsov’s equation: Local and global well-posedness; exponential decay. Zbl 1235.35040 Kaltenbacher, Barbara; Lasiecka, Irena 24 2012 Exponential decay for low and higher energies in the third order linear Moore-Gibson-Thompson equation with variable viscosity. Zbl 1243.35022 Kaltenbacher, Barbara; Lasiecka, Irena 17 2012 A convergence analysis of regularization by discretization in preimage space. Zbl 1281.65087 Kaltenbacher, Barbara; Offtermatt, Jonas 9 2012 Wellposedness and exponential decay rates for the Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1318.35080 Kaltenbacher, Barbara; Lasiecka, Irena; Marchand, Richard 116 2011 Well-posedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions. Zbl 1306.35075 Kaltenbacher, Barbara; Lasiecka, Irena 25 2011 Well-posedness and exponential decay for the Westervelt equation with inhomogeneous Dirichlet boundary data. Zbl 1250.35145 Kaltenbacher, Barbara; Lasiecka, Irena; Veljović, Slobodan 18 2011 Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Zbl 1231.35306 Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris 12 2011 On the effect of self-penalization of piezoelectric composites in topology optimization. Zbl 1274.74412 Wein, Fabian; Kaltenbacher, Manfred; Kaltenbacher, Barbara; Leugering, Günter; Bänsch, Eberhard; Schury, Fabian 5 2011 Sensitivity analysis of linear and nonlinear lithotripter models. Zbl 1215.35170 Kaltenbacher, Barbara; Veljović, Slobodan 4 2011 A refinement and coarsening indicator algorithm for finding sparse solutions of inverse problems. Zbl 1417.65133 Kaltenbacher, Barbara; Offtermatt, Jonas 1 2011 Iterative solution methods. Zbl 1259.65081 Burger, Martin; Kaltenbacher, Barbara; Neubauer, Andreas 1 2011 Convergence rates for the iteratively regularized Gauss-Newton method in Banach spaces. Zbl 1204.65060 Kaltenbacher, Barbara; Hofmann, Bernd 31 2010 On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. Zbl 1208.65071 Baumeister, Johann; Kaltenbacher, Barbara; Leitão, Antonio 21 2010 Boundary observability and stabilization for Westervelt type wave equations without interior damping. Zbl 1207.35206 Kaltenbacher, Barbara 12 2010 Some regularization methods for a thermoacoustic inverse problem. Zbl 1279.80003 Kaltenbacher, Barbara; Polifke, Wolfgang 4 2010 A convergence analysis of the midpoint rule for first kind Volterra integral equations with noisy data. Zbl 1204.65154 Kaltenbacher, B. 2 2010 Global existence and exponential decay rates for the Westervelt equation. Zbl 1180.35108 Kaltenbacher, Barbara; Lasiecka, Irena 53 2009 Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems. Zbl 1176.65070 Kaltenbacher, Barbara; Schöpfer, Frank; Schuster, Thomas 47 2009 Boundary optimal control of the Westervelt and the Kuznetsov equations. Zbl 1163.49026 Clason, Christian; Kaltenbacher, Barbara; Veljović, Slobodan 21 2009 Direct and inverse problems related to MEMS. Zbl 1180.35550 Cassani, Daniele; Kaltenbacher, Barbara; Lorenzi, Alfredo 13 2009 On the identification of a coefficient function in a nonlinear wave equation. Zbl 1172.35311 Nakamura, Gen; Watanabe, Michiyuki; Kaltenbacher, Barbara 7 2009 Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037 Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar 339 2008 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,426 Authors 73 Kaltenbacher, Barbara 35 Hofmann, Bernd 31 Han, Bo 23 Scherzer, Otmar 22 Nikolić, Vanja 21 Jin, Qinian 20 Lasiecka, Irena 18 Jin, Bangti 18 Smirnova, Alexandra B. 17 George, Santhosh 16 Hohage, Thorsten 16 Pata, Vittorino 16 Wang, Wei 15 Rundell, William 14 Bakushinskĭ, Anatoliĭ Borisovich B. 14 Quintanilla de Latorre, Ramón 13 Burger, Martin 13 Mahale, Pallavi 13 Said-Houari, Belkacem 12 Kindermann, Stefan 12 Neubauer, Andreas 12 Tong, Shanshan 11 Hubmer, Simon 11 Leitão, Antonio 11 Lizama, Carlos 11 Ramlau, Ronny 10 Clason, Christian 10 Dell’Oro, Filippo 10 Giri, Ankik Kumar 10 Lu, Shuai 10 Mathé, Peter 10 Mittal, Gaurav 10 Nguyen Huy Tuan 10 Zou, Jun 9 Fu, Zhenwu 9 Kokurin, Mikhail Yur’evich 9 Quyen, Tran Nhan Tam 9 Schuster, Thomas 8 Beilina, Larisa 8 Chen, Dehan 8 Chen, Wenhui 8 Chen, Yong 8 De Cezaro, Adriano 8 Gu, Ruixue 8 Liu, Wenjun 8 Nguyen, Tram Thi Ngoc 8 Pellicer, Marta 8 Triggiani, Roberto 8 Zhong, Min 7 Bredies, Kristian 7 Conti, Monica C. 7 Deng, Zuicha 7 Egger, Herbert 7 Flemming, Jens 7 Gerth, Daniel 7 Haltmeier, Markus 7 Holler, Martin 7 Khan, Akhtar Ali 7 Margotti, Fábio 7 Plato, Robert 7 Wald, Anne 7 Werner, Frank 7 Yang, Liu 7 Yousept, Irwin 7 Zhou, Zhi 6 Argyros, Ioannis Konstantinos 6 Bezerra, Flank David Morais 6 Estatico, Claudio 6 Kian, Yavar 6 Kunisch, Karl 6 Lahmer, Tom 6 Pham Ky Anh 6 Santos, Lucas A. 6 Sherina, Ekaterina Sergeevna 6 Wohlmuth, Barbara I. 6 Yamamoto, Masahiro 6 Yang, Hongqi 6 Zhang, Ye 5 Adibi, Hojatollah 5 Albani, Vinicius V. L. 5 Alberti, Giovanni S. 5 Bongarti, Marcelo 5 Boulaaras, Salah Mahmoud 5 Cheng, Jin 5 Đinh Nho Hào 5 Dixit, Sharad Kumar 5 Ellabib, Abdellatif 5 Fernández, Jose Ramon 5 Florens, Jean-Pierre 5 Hein, Torsten 5 Jiang, Yu 5 Kaltenbacher, Manfred 5 Klibanov, Michael V. 5 Kokurin, Mikhail Mikhailovich 5 Kovtunenko, Viktor Anatolievich 5 Liverani, Lorenzo 5 Long, Haie 5 Lu, Xiliang 5 Maass, Peter 5 Murillo-Arcila, Marina ...and 1,326 more Authors all top 5 Cited in 235 Serials 163 Inverse Problems 70 Journal of Inverse and Ill-Posed Problems 36 Applicable Analysis 34 Inverse Problems in Science and Engineering 31 Inverse Problems and Imaging 30 Journal of Mathematical Analysis and Applications 30 Journal of Computational and Applied Mathematics 29 Numerische Mathematik 27 Numerical Functional Analysis and Optimization 17 Applied Mathematics and Optimization 17 Evolution Equations and Control Theory 16 Journal of Computational Physics 16 Journal of Differential Equations 15 Mathematical Methods in the Applied Sciences 15 Applied Mathematics and Computation 14 Computers & Mathematics with Applications 13 SIAM Journal on Numerical Analysis 13 ETNA. Electronic Transactions on Numerical Analysis 13 SIAM Journal on Imaging Sciences 12 Mathematics of Computation 12 Applied Numerical Mathematics 12 Journal of Integral Equations and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Evolution Equations 10 Discrete and Continuous Dynamical Systems 10 Computational Methods in Applied Mathematics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Computational Mathematics and Mathematical Physics 9 Communications in Nonlinear Science and Numerical Simulation 9 Discrete and Continuous Dynamical Systems. Series S 8 Computer Methods in Applied Mechanics and Engineering 8 Applied Mathematics Letters 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 SIAM Journal on Mathematical Analysis 8 Computational Optimization and Applications 7 Journal of Mathematical Imaging and Vision 6 Journal of Optimization Theory and Applications 6 Numerical Methods for Partial Differential Equations 6 Numerical Algorithms 6 International Journal of Computer Mathematics 6 Russian Mathematics 6 AIMS Mathematics 5 Mathematics and Computers in Simulation 5 SIAM Journal on Control and Optimization 5 Optimization 5 Journal of Complexity 5 Journal of Scientific Computing 5 Applied Mathematical Modelling 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Optimization 5 SIAM Journal on Scientific Computing 5 Mathematical Problems in Engineering 5 Electronic Journal of Statistics 5 SIAM/ASA Journal on Uncertainty Quantification 4 Nonlinearity 4 Calcolo 4 International Journal for Numerical Methods in Engineering 4 Computational and Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Nonlinear Analysis. Real World Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 International Journal of Computational Methods 4 Proceedings of the Steklov Institute of Mathematics 3 Acta Mechanica 3 Computer Physics Communications 3 Chaos, Solitons and Fractals 3 Journal of Econometrics 3 Meccanica 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Chinese Annals of Mathematics. Series B 3 Asymptotic Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of Convex Analysis 3 Optimization Methods & Software 3 Journal of Mathematical Fluid Mechanics 3 Foundations of Computational Mathematics 3 Communications on Pure and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Milan Journal of Mathematics 3 Analysis and Applications (Singapore) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 GAMM-Mitteilungen 3 GEM - International Journal on Geomathematics 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Wave Motion 2 Bulletin of Mathematical Biology 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Results in Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Matrix Analysis and Applications 2 The Journal of Geometric Analysis 2 Journal of Global Optimization 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis ...and 135 more Serials all top 5 Cited in 46 Fields 705 Numerical analysis (65-XX) 543 Partial differential equations (35-XX) 321 Operator theory (47-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 110 Mechanics of deformable solids (74-XX) 91 Fluid mechanics (76-XX) 79 Biology and other natural sciences (92-XX) 64 Operations research, mathematical programming (90-XX) 58 Optics, electromagnetic theory (78-XX) 57 Integral equations (45-XX) 55 Information and communication theory, circuits (94-XX) 42 Statistics (62-XX) 39 Systems theory; control (93-XX) 36 Ordinary differential equations (34-XX) 32 Classical thermodynamics, heat transfer (80-XX) 27 Computer science (68-XX) 25 Geophysics (86-XX) 23 Real functions (26-XX) 22 Probability theory and stochastic processes (60-XX) 21 Functional analysis (46-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Approximations and expansions (41-XX) 10 Integral transforms, operational calculus (44-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Mathematics education (97-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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