A Projection-Regularized Newton Method for Nonlinear Ill-Posed Problems and Its Application to Parameter Identification Problems with Finite Element Discretization. - Barbara Kaltenbacher (SIAM J. Numer. Anal., 2000)

Exact Real Computation in Computer Algebra. - Gábor Bodnár; Barbara Kaltenbacher; Petru Pau; Josef Schicho (SNSC, 2001)

A multi-grid method with a priori and a posteriori level choice for the regularization of nonlinear ill-posed problems. - Barbara Kaltenbacher; Josef Schicho (Numerische Mathematik, 2002)

A saddle point variational formulation for projection-regularized parameter identification. - Barbara Kaltenbacher; Joachim Schöberl (Numerische Mathematik, 2002)

V-cycle convergence of some multigrid methods for ill-posed problems. - Barbara Kaltenbacher (Math. Comput., 2003)

Regularizing Newton-Kaczmarz Methods for Nonlinear Ill-Posed Problems. - Martin Burger 001; Barbara Kaltenbacher (SIAM J. Numer. Anal., 2006)

Regularization by truncated Cholesky factorization: A comparison of four different approaches. - Barbara Kaltenbacher (J. Complex., 2007)

Iterative Regularization Methods for Nonlinear Ill-Posed Problems. - Barbara Kaltenbacher; Andreas Neubauer; Otmar Scherzer (de Gruyter, 2008)

An Inverse Problem for a Nonlinear Parabolic Equation with Applications in Population Dynamics and Magnetics. - Barbara Kaltenbacher; Michael V. Klibanov (SIAM J. Math. Anal., 2008)

Convergence Rates for the Iteratively Regularized Landweber Iteration in Banach Space. - Barbara Kaltenbacher (System Modelling and Optimization, 2011)

Regularization Methods in Banach Spaces. - Thomas Schuster; Barbara Kaltenbacher; Bernd Hofmann 001; Kamil S. Kazimierski (de Gruyter, 2012)

A convergence analysis of regularization by discretization in preimage space. - Barbara Kaltenbacher; Jonas Offtermatt (Math. Comput., 2012)

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. - Barbara Kaltenbacher; Manfred Kaltenbacher; Imbo Sim (J. Comput. Phys., 2013)

On the use of state constraints in optimal control of singular PDEs. - Christian Clason; Barbara Kaltenbacher (Syst. Control. Lett., 2013)

Absorbing boundary conditions for nonlinear acoustics: The Westervelt equation. - Igor Shevchenko; Barbara Kaltenbacher (J. Comput. Phys., 2015)

An iteratively regularized Gauss-Newton-Halley method for solving nonlinear ill-posed problems. - Barbara Kaltenbacher (Numerische Mathematik, 2015)

Iterative Solution Methods. - Martin Burger 001; Barbara Kaltenbacher; Andreas Neubauer (Handbook of Mathematical Methods in Imaging, 2015)

Regularization Based on All-At-Once Formulations for Inverse Problems. - Barbara Kaltenbacher (SIAM J. Numer. Anal., 2016)

Well-posedness of a general higher order model in nonlinear acoustics. - Barbara Kaltenbacher (Appl. Math. Lett., 2017)

Scalable Parameter Estimation for Genome-Scale Biochemical Reaction Networks. - Fabian Fröhlich; Barbara Kaltenbacher; Fabian J. Theis; Jan Hasenauer (PLoS Comput. Biol., 2017)

Identifying conductivity in electrical impedance tomography with total variation regularization. - Michael Hinze; Barbara Kaltenbacher; Tran Nhan Tam Quyen (Numerische Mathematik, 2018)

Convergence and adaptive discretization of the IRGNM Tikhonov and the IRGNM Ivanov method under a tangential cone condition in Banach space. - Barbara Kaltenbacher; Mario Luiz Previatti de Souza (Numerische Mathematik, 2018)

Minimization Based Formulations of Inverse Problems and Their Regularization. - Barbara Kaltenbacher (SIAM J. Optim., 2018)

The tangential cone condition for some coefficient identification model problems in parabolic PDEs. - Barbara Kaltenbacher; Tram Thi Ngoc Nguyen; Otmar Scherzer (CoRR, 2019)

The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. - Barbara Kaltenbacher; Andrej Klassen; Mario Luiz Previatti de Souza (CoRR, 2019)

Regularization of a backwards parabolic equation by fractional operators. - Barbara Kaltenbacher; William Rundell (CoRR, 2019)

All-at-once versus reduced iterative methods for time dependent inverse problems. - Barbara Kaltenbacher (CoRR, 2019)

The Inverse Problem of Reconstructing Reaction-Diffusion Systems. - Barbara Kaltenbacher; William Rundell (CoRR, 2020)

Some application examples of minimization based formulations of inverse problems and their regularization. - Kha Van Huynh; Barbara Kaltenbacher (CoRR, 2020)

On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations. - Johann Baumeister; Barbara Kaltenbacher; Antonio Leitão (CoRR, 2020)

All-at-once formulation meets the Bayesian approach: A study of two prototypical linear inverse problems. - Anna Schlintl; Barbara Kaltenbacher (CoRR, 2021)

On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. - Barbara Kaltenbacher; William Rundell (CoRR, 2021)

On uniqueness and reconstruction of a nonlinear diffusion term in a parabolic equation. - Barbara Kaltenbacher; William Rundell (CoRR, 2021)

On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. - Barbara Kaltenbacher; William Rundell (CoRR, 2021)

Determining the nonlinearity in an acoustic wave equation. - Barbara Kaltenbacher; William Rundell (CoRR, 2021)

Discretization of parameter identification in PDEs using Neural Networks. - Barbara Kaltenbacher; Tram Thi Ngoc Nguyen (CoRR, 2021)

On the inverse problem of vibro-acoustography. - Barbara Kaltenbacher (CoRR, 2021)

Determining kernels in linear viscoelasticity. - Barbara Kaltenbacher; Ustim Khristenko; Vanja Nikolic; Rajendran Mabel Lizzy; Barbara I. Wohlmuth (CoRR, 2021)

The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations. - Barbara Kaltenbacher; Vanja Nikolic (SIAM J. Appl. Math., 2021)

Iterative regularization for constrained minimization formulations of nonlinear inverse problems. - Barbara Kaltenbacher; Kha Van Huynh (Comput. Optim. Appl., 2022)

Convergence guarantees for coefficient reconstruction in PDEs from boundary measurements by variational and Newton type methods via range invariance. - Barbara Kaltenbacher (CoRR, 2022)

On the simultanenous identification of two space dependent coefficients in a quasilinear wave equation. - Barbara Kaltenbacher; William Rundell (CoRR, 2022)

Determining kernels in linear viscoelasticity. - Barbara Kaltenbacher; Ustim Khristenko; Vanja Nikolic; Mabel L. Rajendran; Barbara I. Wohlmuth (J. Comput. Phys., 2022)

Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation. - Barbara Kaltenbacher; Anna Schlintl (J. Comput. Phys., 2022)

On an inverse problem of nonlinear imaging with fractional damping. - Barbara Kaltenbacher; William Rundell (Math. Comput., 2022)

Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics. - Barbara Kaltenbacher; Vanja Nikolic (SIAM J. Math. Anal., 2022)

Nonlinearity parameter imaging in the frequency domain. - Barbara Kaltenbacher; William Rundell (CoRR, 2023)

Simultaneous reconstruction of sound speed and nonlinearity parameter in a paraxial model of vibro-acoustography in frequency domain. - Barbara Kaltenbacher; Teresa Rauscher (CoRR, 2023)

Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems. - Michael Kartmann; Tim Keil; Mario Ohlberger; Stefan Volkwein; Barbara Kaltenbacher (CoRR, 2023)

Regularising the Cauchy problem for Laplace's equation by fractional operators. - Barbara Kaltenbacher; William Rundell (CoRR, 2023)

Convergence rates under a range invariance condition with application to electrical impedance tomography. - Barbara Kaltenbacher (CoRR, 2024)

On the optimal choice of the illumination function in photoacoustic tomography. - Phuoc-Truong Huynh; Barbara Kaltenbacher (CoRR, 2024)

Simultaneous Reconstruction of Speed of Sound and Nonlinearity Parameter in a Paraxial Model of Vibro-Acoustography in Frequency Domain. - Barbara Kaltenbacher; Teresa Rauscher (Comput. Methods Appl. Math., 2024)

Acoustic nonlinearity parameter tomography with the Jordan-Moore-Gibson-Thompson equation in frequency domain. - Barbara Kaltenbacher (CoRR, 2025)

Forward and Inverse Problems in Nonlinear Acoustics. - Barbara Kaltenbacher (CoRR, 2025)

Reconstruction of space-dependence and nonlinearity of a reaction term in a subdiffusion equation. - Barbara Kaltenbacher; William Rundell (CoRR, 2025)