Numerische Mathematik 1

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The following list shows all publications with a direct relation to the organisational unit. To retrieve a list which includes publications of subordinate organisational units, use the search facet "Organizational structure".

• A variational framework for the inverse Henderson problem of statistical mechanics
• Convex Source Support and Its Application to Electric Impedance Tomography
• Deblurring Methods Using Antireflective Boundary Conditions
• An Inverse Backscatter Problem for Electric Impedance Tomography
• Iterative integral equation methods for structural coarse-graining
• Conjugate Gradient Type Methods for Ill-Posed Problems
• Regularization of Inverse Problems
• A Chebyshev-like semiiteration for inconsistent linear systems
• Regularization methods for large-scale problems
• Accelerated Landweber iterations for the solution of ill-posed equations
• Iterative Solution Methods (Owe Axeisson)
• Fréchet differentiability of molecular distribution functions II: the Ursell function
• Fréchet differentiability of molecular distribution functions I. $$L^\infty $$ L ∞ analysis
• Comparison of iterative inverse coarse-graining methods
• Polarization tensors of planar domains as functions of the admittivity contrast
• A Note on the Nonlinear Landweber Iteration
• Convex source support in three dimensions
• On rational approximation methods for inverse source problems
• The regularizing Levenberg-Marquardt scheme is of optimal order
• Adjoint-based sampling methods for electromagnetic scattering
• On the condition number of the antireflective transform
• Why linear sampling really seems to work
• COMPUTATION OF LOCAL VOLATILITIES FROM REGULARIZED DUPIRE EQUATIONS
• Recent progress in electrical impedance tomography
• A note on Tikhonov regularization of large linear problems
• On Lanczos based methods for the regularization of discrete ill-posed problems
• Crack detection using electrostatic measurements
• Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
• Nonstationary Iterated Tikhonov Regularization
• Inverse Toeplitz preconditioners for ill-posed problems
• Quasi-Newton approach to nonnegative image restorations
• A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
• Superlinear convergence rates for the Lanczos method applied to elliptic operators
• Regularizing properties of a truncated newton-cg algorithm for nonlinear inverse problems
• A General Framework for Regularized Evaluation of Unstable Operators
• Limitations of the L-curve method in ill-posed problems
• Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques
• The minimal error conjugate gradient method is a regularization method
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• An Optimal Stopping Rule for the v-Method for Solving Ill-Posed Problems, Using Christoffel Functions
• Fast Preconditioned Conjugate Gradient Algorithms for Wiener–Hopf Integral Equations
• Iterative Consistency: A Concept for the Solution of Singular Systems of Linear Equations
• Experiments with Krylov subspace methods on a massively parallel computer
• An $\epsilon $-Free a Posteriori Stopping Rule for Certain Iterative Regularization Methods
• The geometry of the set of scaled projections
• Regularization with Differential Operators: An Iterative Approach
• On the spectrum of the SOR operator for symmetric positive definite matrices
• On the acceleration of Kaczmarz's method for inconsistent linear systems
• Preconditionings and splittings for rectangular systems
• Mathematical analysis of some iterative methods for the reconstruction of memory kernels
• Electrostatic backscattering by insulating obstacles
• The Factorization Method for Electrical Impedance Tomography Data from a New Planar Device
• Inferring rheology and geometry of subsurface structures by adjoint-based inversion of principal stress directions
• On real-time algorithms for the location search of discontinuous conductivities with one measurement
• Sampling methods for low-frequency electromagnetic imaging
• The factorization method for electrical impedance tomography in the half-space
• JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY
• Stability, Speed, and Constraints for Structural Coarse-Graining in VOTCA
• Grundlagen der numerischen Mathematik und des wissenschaftlichen Rechnens
• A model for warm clouds with implicit droplet activation, avoiding saturation adjustment
• A note on the uniqueness result for the inverse Henderson problem
• Well-Posedness of the Iterative Boltzmann Inversion
• Model reduction techniques for the computation of extended Markov parameterizations for generalized Langevin equations
• UNIQUE SOLVABILITY OF A SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS MODELING A WARM CLOUD PARCEL
• Asymptotics of orthogonal polynomials and the numerical solution of ill-posed problems
• One Shot Inverse Scattering via Rational Approximation
• LOCATING SEVERAL SMALL INCLUSIONS IN IMPEDANCE TOMOGRAPHY FROM BACKSCATTER DATA
• A Taste of Inverse Problems - Basic Theory and Examples.
• Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation
• Identification of small inhomogeneities: Asymptotic factorization
• FAR FIELD SPLITTING FOR THE HELMHOLTZ EQUATION
• Multifrequency Impedance Imaging with Multiple Signal Classification
• Sampling Methods
• A note on conjugate-gradient type methods for indefinite and/or inconsistent linear systems
• Convex backscattering support in electric impedance tomography
• A direct impedance tomography algorithm for locating small inhomogeneities
• Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform II
• Inverse Source Problems for the Helmholtz Equation and the Windowed Fourier Transform
• Inverse Problems Light: Numerical Differentiation.
• Kernel polynomials for the solution of indefinite and ill-posed problems
• Two-level preconditioners for regularized inverse problems I: Theory
• A General Heuristic for Choosing the Regularization Parameter in Ill-Posed Problems
• Erratum: An Inverse Backscatter Problem for Electric Impedance Tomography
• Toeplitz approximate inverse preconditioner for banded Toeplitz matrices
• A note on the MUSIC algorithm for impedance tomography
• Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring
• MUSIC-characterization of small scatterers for normal measurement data
• A sampling method for detecting buried objects using electromagnetic scattering

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• Numerische Mathematik