zbMath0865.35004MaRDI QIDQ5917783
Andreas Kirsch
Publication date: 8 May 1996
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
The inverse solution of the coupled nonlinear reaction–diffusion equations by the Haar wavelets,
Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions,
A modified quasi-reversibility method for inverse source problem of Poisson equation,
Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation,
Mathematical framework for traction force microscopy,
A D-Bar Algorithm with A Priori Information for 2-Dimensional Electrical Impedance Tomography,
A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM,
Isospectral sixth order Sturm-Liouville eigenvalue problems,
A non-homogeneous cauchy problem for an elliptic equation with non-constant coefficient,
Numerical Reconstruction of Potentials Based on a Sequence of Inverse Sturm–Liouville Problems,
Unnamed Item,
Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation,
Uniqueness for Inverse Elastic Medium Problems,
A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems,
\(L_2\) error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data,
Bayesian inversion in resin transfer molding,
Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods,
A unified solution method for linear elliptic Cauchy problems,
Legendre spectral multi-projection methods for Fredholm integral equations of the first kind,
Numerical identification of the fractal orders in the generalized nonlocal elastic model,
On regularization results for a two-dimensional nonlinear time-fractional inverse diffusion problem,
Variational regularization in inverse problems and machine learning,
A note on the degree of ill-posedness for mixed differentiation on the \(d\)-dimensional unit cube,
Data-Driven Basis for Reconstructing the Contrast in Inverse Scattering: Picard Criterion, Regularity, Regularization, and Stability,
Adaptive Spectral Inversion for inverse medium problems,
Multi-projection methods for Fredholm integral equations of the first kind,
Nonlinear Iterative Hard Thresholding for Inverse Scattering,
Jacobi spectral projection methods for Fredholm integral equations of the first kind,
On the inverse problem of vibro-acoustography,
A Numerical Algorithm for a Coupled Hyperbolic Boundary Value Problem,
Filter regularization method for inverse source problem of the Rayleigh-Stokes equation,
The backward problem for radially symmetric time‐fractional diffusion‐wave equation under Robin boundary condition,
On inertial iterated Tikhonov methods for solving ill-posed problems,
Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems,
The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder,
Minimization Based Formulations of Inverse Problems and Their Regularization,
SELECTING MEASUREMENT LOCATIONS TO MINIMIZE RECONSTRUCTION ERROR USING THE INVERSE BOUNDARY ELEMENT METHOD,
The calibration of volatility for option pricing models with jump diffusion processes,
A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation,
Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System,
Approximate Solutions of Inverse Problems for Nonlinear Space Fractional Diffusion Equations with Randomly Perturbed Data,
A Modified Tikhonov Regularization for Linear Operator Equations,
Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations,
Asymptotics and calibration of local volatility models,
Asymptotically efficient estimation of linear functionals in inverse regression models,
Unnamed Item,
Boundary element simulation of thermal waves,
Boundary element simulation of thermal waves,
Bayesian Inversion of Geoelectrical Resistivity Data,
Verified numerical computations for an inverse elliptic eigenvalue problem with finite data,
A posteriori error estimates for the solution of nonlinear ill-posed operator equations,
Multiplicative censoring: Density estimation by a series expansion approach,
An inverse problem for strongly degenerate heat equation,
Iterative methods for data assimilation for Burgers' equation,
OPTIMAL EXERCISE PRICE OF AMERICAN OPTIONS NEAR EXPIRY,
Reconstruction of a radially symmetric potential from two spectral sequences,
A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems,
Unnamed Item,
Non‐parametric Bayesian Inference for Integrals with respect to an Unknown Finite Measure,
Modern statistical methods in oceanography: a hierarchical perspective,
Regularization by projection in variable Hilbert scales,
Hybrid Samplers for Ill-Posed Inverse Problems,
A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations,
Regularization Based on All-At-Once Formulations for Inverse Problems,
Reconstructing potentials from zeros of one eigenfunction,
Multiplicative Algorithms for Maximum Penalized Likelihood Inversion with Non Negative Constraints and Generalized Error Distributions,
Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method,
Toward Global Convergence for Strongly Nonlinear Ill-Posed Problems via a Regularizing Multilevel Approach,
Conditional Stability Estimates and Regularization with Applications to Cauchy Problems for the Helmholtz Equation,
Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation,
A potential-free field inverse Schrödinger problem: optimal error bound analysis and regularization method,
Mathematics of Wavefields,
A convergence analysis of regularization by discretization in preimage space,
Tutorial on Neural Field Theory,
Shape reconstruction of a 2D-elastic penetrable object via the L-curve method,
Ill-Posed Problems: Operator Methodologies of Resolution and Regularization,
Geomathematical Advances in Satellite Gravity Gradiometry (SGG),
Inverse Gravimetry as an Ill-Posed Problem in Mathematical Geodesy,
Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain,
A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations,
Newton–Tikhonov regularization of ill-posed Hammerstein operator equation,
Boundary Integral Equation Methods in the Theory of Thin Plates,
Recovery of a degenerate space-dependent heat capacity,
Sound speed uncertainty in acousto-electric tomography,
Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval,
Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion,
Convergence analysis of SART: optimization and statistics,
Regularization of exponentially ill-posed problems,
Numerical differentiation by integration,
The recovery of the acoustic stiffness coefficient,
A mollification method for a Cauchy problem for the Helmholtz equation,
Another look at statistical learning theory and regularization,
Identification of time-dependent convection coefficient in a time-fractional diffusion equation,
High resolution COD image analysis for health monitoring of reinforced concrete structures through inverse analysis,
A modified regularization method for an inverse heat conduction problem with only boundary value,
Towards a computational method for imaging the extracellular potassium concentration during regional ischemia,
Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales,
A dual finite volume method scheme for catastrophic flash floods in channel networks,
Projected Tikhonov regularization method for Fredholm integral equations of the first kind,
Diffusivity identification in a nonlinear time-fractional diffusion equation,
Towards a general convergence theory for inexact Newton regularizations,
Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space,
Recovery of the temperature and the heat flux by a novel meshless method from the measured noisy data,
Operator-theoretic and regularization approaches to ill-posed problems,
Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation,
An iterative regularization method for identifying the source term in a second order differential equation,
Application of spectral decomposition of Green's function to linear inverse problem,
Projected Tikhonov regularization of large-scale discrete ill-posed problems,
A level-set corrector to an adaptive multiscale permeability prediction,
Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets,
Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method,
Ill-posed fuzzy initial-boundary value problems based on generalized differentiability and regularization,
Stable numerical differentiation for the second order derivatives,
A computational procedure for estimation of an unknown coefficient in an inverse boundary value problem,
A direct solution of the Robin inverse problem,
A convergence analysis of the midpoint rule for first kind Volterra integral equations with noisy data,
New fast iteration for determining surface temperature and heat flux of general sideways parabolic equation,
The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem,
A simplified Tikhonov regularization method for determining the heat source,
Statistical method for resolving the photon-photoelectron-counting inversion problem,
The reconstruction of a source and a potential from boundary measurements,
Convergence results of Landweber iterations for linear systems,
An efficient method for the solution of the inverse scattering problem for penetrable obstacles,
Learning bidirectional asymmetric similarity for collaborative filtering via matrix factorization,
The simplified Tikhonov regularization method for identifying the unknown source for the modified Helmholtz equation,
Dimension reduction method for ODE fluid models,
Discrete ill-posed least-squares problems with a solution norm constraint,
A modified Tikhonov regularization method for an axisymmetric backward heat equation,
The inverse scattering problem for cavities with impedance boundary condition,
Preconditioning non-monotone gradient methods for retrieval of seismic reflection signals,
Quadrature based collocation methods for integral equations of the first kind,
A numerical method for solving a Goursat-Cauchy boundary value problem,
A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D,
An inverse source problem with multiple frequency data,
Modeling brain electrical activity by an image-based boundary element method,
A potential function method for the Cauchy problem of elliptic operators,
Empirical reduction of modes for the shape identification problems of heat conduction systems,
Heuristic regularization methods for numerical differentiation,
Two iterative methods for a Cauchy problem of the elliptic equation with variable coefficients in a strip region,
A posteriori regularization parameter choice rule for truncation method for identifying the unknown source of the Poisson equation,
An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem,
Cauchy problems of Laplace's equation by the methods of fundamental solutions and particular solutions,
A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach,
Boundary integral equation methods for the scattering problem by an unbounded sound soft rough surface with tapered wave incidence,
Total variation regularization for the reconstruction of a mountain topography,
Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space,
On connections between boundary integral equations and \(T\)-matrix methods.,
Born series in obstacle scattering,
Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations,
The truncation method for identifying the heat source dependent on a spatial variable,
Determination of pitch in twisted cylinders by electromagnetic scattering,
An inverse measurement of the sudden underwater movement of the sea-floor by using the time-history record of the water-wave elevation,
Convergence rates of a multilevel method for the regularization of nonlinear ill-posed problems,
An improved non-local boundary value problem method for a Cauchy problem of the Laplace equation,
An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity,
Reconstruction of the shape of object with near field measurements in a half-plane,
A two-dimensional backward heat problem with statistical discrete data,
Galerkin method for the scattering problem of a slit,
Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region,
Inverse inhomogeneous penetrable obstacle scattering problems in a stratified medium,
Closure method for spatially averaged dynamics of particle chains,
Variational method for super-resolution optical flow,
Numerical simulation and analysis of generalized difference method on triangular networks for electrical impedance tomography,
Two regularization methods for the Cauchy problems of the Helmholtz equation,
A mollification regularization method for stable analytic continuation,
Parameter estimation for the stochastically perturbed Navier-Stokes equations,
A new Newton-Landweber iteration for nonlinear inverse problems,
A mollification method for a Cauchy problem for the Laplace equation,
The truncation method for identifying an unknown source in the Poisson equation,
Eigenvalues of the far field operator for time harmonic acoustic waves by an inhomogeneous medium and inverse scattering theory,
Isospectral flow method for nonnegative inverse eigenvalue problem with prescribed structure,
Some filter regularization methods for a backward heat conduction problem,
Source term identification for an axisymmetric inverse heat conduction problem,
Numerical inversions for a nonlinear source term in the heat equation by optimal perturbation algorithm,
Inverse analysis FOR two-dimensional structures using the boundary element method,
A fast and robust computational method for the ionization cross sections of the driven Schrödinger equation using an \(\mathcal{O}(N)\) multigrid-based scheme,
The Fourier-Bessel method for solving the Cauchy problem connected with the Helmholtz equation,
Inversion of dispersion coefficient in water quality model using optimal perturbation algorithm,
An approach for the identification of diffusion coefficients in the quasi-steady state of a post-discharge nitriding process,
Elastic-wave identification of penetrable obstacles using shape-material sensitivity framework,
Uniqueness of solutions to inverse Sturm-Liouville problems with \(L^2(0,a)\) potential using three spectra,
Partial-differential-equation-constrained amplitude-based shape detection in inverse acoustic scattering,
Cubically convergent methods for selecting the regularization parameters in linear inverse problems,
The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains,
Generalization of Lax equivalence theorem on unbounded self-adjoint operators with applications to Schrödinger operators,
The recovery of even polynomial potentials,
Stability rates for linear ill-posed problems with compact and non-compact operators,
Harmonic functions in union of chambers,
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph,
Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1D case,
Numerical solution of forward and backward problem for 2-D heat conduction equation,
Approximate solution for a 2-D fractional differential equation with discrete random noise,
Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation,
Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method,
Simultaneous estimation of spatially dependent diffusion coefficient and source term in a nonlinear 1D diffusion problem,
Identifying the space source term problem for time-space-fractional diffusion equation,
The simplified Tikhonov regularization method for solving a Riesz-Feller space-fractional backward diffusion problem,
A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem,
On the balancing principle for some problems of numerical analysis,
Determining a distributed parameter in a neural cable model via a boundary control method,
On an initial inverse problem for a diffusion equation with a conformable derivative,
One-dimensional equilibrium model and source parameter determination for soil-column experiment,
On the duality of the potential method and the point source method in inverse scattering problems,
Regularization method for an ill-posed Cauchy problem for elliptic equations,
On backward problem for fractional spherically symmetric diffusion equation with observation data of nonlocal type,
Reconstructing the right-hand side of the Rayleigh-Stokes problem with nonlocal in time condition,
Radial basis function approximation of noisy scattered data on the sphere,
The reconstruction of a wave equation from one side measurement,
Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales,
On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation,
A mollification regularization method for identifying the time-dependent heat source problem,
Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation,
Anti-plane inverse problem for inclined cracks in the elastic half-space,
Existence of solutions of inverse problems for elliptic complex equations with degenerate curve in multiple connected domains,
Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,
A modified Landweber iteration for general sideways parabolic equations,
The factorization method for a conductive boundary condition,
Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters,
The modified regularization method for identifying the unknown source on Poisson equation,
Application of the MFS to inverse obstacle scattering problems,
Quantifying model uncertainty in dynamical systems driven by non-Gaussian Lévy stable noise with observations on mean exit time or escape probability,
Exact minimizer for the couple (\(L^{\infty}, BV\)) and the one-dimensional analogue of the Rudin-Osher-Fatemi model,
Numerical identification of multiparameters in the space fractional advection dispersion equation by final observations,
Investigation of a stochastic inverse method to estimate an external force: applications to a wave-structure interaction,
A determination of an abrupt motion of the sea bottom by using snapshot data of water waves,
Nonlinear damping identification in nonlinear dynamic system based on stochastic inverse approach,
Molecular seismology: an inverse problem in nanobiology,
A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation,
Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation,
A computational method for stable analytic continuation,
An inverse problem solution scheme for solving the optimization problem of drug-controlled release from multilaminated devices,
A spectral regularization method for a Cauchy problem of the modified Helmholtz equation,
An object-oriented environment for developing finite element codes for multi-disciplinary applications,
Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement,
A factorization of least-squares projection schemes for ill-posed problems,
Some consolidation dynamics problems within the framework of the biparabolic mathematical model and its fractional-differential analog,
Weighting algorithm and relaxation strategies of the Landweber method for image reconstruction,
Convergence of the Hilbert uniqueness method via Tikhonov regularization,
Combinations of the method of fundamental solutions for general inverse source identification problems,
Feedback control and parameter invasion for a discrete competitive Lotka-Volterra system,
A parabolic inverse convection-diffusion-reaction problem solved using space-time localization and adaptivity,
Spectral representation of lattice gluon and ghost propagators at zero temperature,
On imaging obstacles inside inhomogeneous media,
Two regularization methods for a spherically symmetric inverse heat conduction problem,
Estimation of inhomogeneous zeta potential in the electroosmotic flow by means of mode reduction,
A projection method with regularization for Cauchy problem of the time-harmonic Maxwell equations,
Inverse source problem for a multiterm time-fractional diffusion equation with nonhomogeneous boundary condition,
Two regularization methods for a Cauchy problem for the Laplace equation,
An integral equation for Maxwell's equations in a layered medium with an application to the factorization method,
The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem,
A new gradient regularization algorithm for source term inversion in 1D solute transportation with final observations,
Mixed boundary integral methods for Helmholtz transmission problems,
On the possibility for computing the transmembrane potential in the heart with a one shot method: an inverse problem,
Inverse gravimetry: background material and multiscale mollifier approaches,
A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations,
Accelerated Landweber methods based on co-dilated orthogonal polynomials,
A unified group theoretical method for the partial Fourier analysis on semi-direct product of locally compact groups,
Parameterised electromagnetic scattering solutions for a range of incident wave angles,
A quasi-boundary value regularization method for identifying an unknown source in the Poisson equation,
Two regularization methods and the order optimal error estimates for a sideways parabolic equation,
Two new regularization methods for solving sideways heat equation,
Boundary integral approximation of a heat-diffusion problem in time-harmonic regime,
Unique identifiability of the common support of coefficients of a second order anisotropic elliptic system by the Dirichlet-Neumann map,
New model function methods for determining regularization parameters in linear inverse problems,
Finite element analysis for identifying the reaction coefficient in PDE from boundary observations,
The quasi-boundary value method for identifying the initial value of heat equation on a columnar symmetric domain,
Coupling of virtual element and boundary element methods for the solution of acoustic scattering problems,
A \textit{a posteriori} regularization for the Cauchy problem for the Helmholtz equation with inhomogeneous Neumann data,
Backward problem for time-space fractional diffusion equations in Hilbert scales,
Solving elliptic Cauchy problems and the identification of nonlinear corrosion,
Coefficient identification in the Euler-Bernoulli equation using regularization methods,
Dynamic reconstruction algorithm for electrical capacitance tomography based on the proper orthogonal decomposition,
Identification of piecewise constant sources in non-homogeneous media based on boundary measurements,
Galerkin method with trigonometric basis on stable numerical differentiation,
Inverse eigenvalue problem for a simple star graph,
Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem,
Closed solutions of some boundary-value problems of filtration-consolidation dynamics within the fractured-fractal approach,
Mathematical models with local \(M\)-derivative and boundary-value problems of geomigration dynamics,
Dynamic force identification problem based on a novel improved Tikhonov regularization method,
A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems,
On a local uniqueness result for the inverse Sturm--Liouville problem,
Determining radially symmetric potential from near-field scattering data,
Final value problems for parabolic differential equations and their well-posedness,
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius,
Legendre spectral projection methods for Fredholm integral equations of first kind,
\textit{A posteriori} regularization method for the two-dimensional inverse heat conduction problem,
Inverse electroencephalography for cortical sources,
Reconstruction of a heat equation from one point observations,
Size-dependent sharp indentation. II: A reverse algorithm to identify plastic properties of metallic materials,
A regularization method for solving the radially symmetric backward heat conduction problem,
Identification of source term for the ill-posed Rayleigh-Stokes problem by Tikhonov regularization method