zbMath0823.65139MaRDI QIDQ1894665
Wolfgang Hackbusch
Publication date: 8 August 1995
Published in: ISNM. International Series of Numerical Mathematics (Search for Journal in Brave)
Numerical discretization and fast approximation of a variably distributed-order fractional wave equation,
An adaptive Huber method for nonlinear systems of Volterra integral equations with weakly singular kernels and solutions,
On the Optimal Management of Public Debt: a Singular Stochastic Control Problem,
Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time,
The Product Midpoint Rule for Abel-Type Integral Equations of the First Kind with Perturbed Data,
Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems,
Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations,
Calderón cavities inverse problem as a shape-from-moments problem,
On the regularization of Cauchy-type integral operators via the density interpolation method and applications,
On the solutions of linear Volterra equations of the second kind with sum kernels,
Pollution free discretization of the wave equation,
Convergence analysis of the generalized Euler-Maclaurin quadrature rule for solving weakly singular integral equations,
A posteriori error analysis for approximations of time-fractional subdiffusion problems,
Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains,
Performance Analysis of Sequential Probability Ratio Test,
Multistep collocation method for Fredholm integral equations of the second kind,
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations,
The Quasi-Neutral Limit in Optimal Semiconductor Design,
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains,
On the numerical treatment and analysis of Hammerstein integral equation,
Solving boundary value problems via the Nyström method using spline Gauss rules,
Estimation of the Regularization Parameter in Linear Discrete Ill-Posed Problems Using the Picard Parameter,
Numerical dynamics of integrodifference equations: forward dynamics and pullback attractors,
Diffusion models with time-dependent parameters: an analysis of computational effort and accuracy of different numerical methods,
Mathematical analysis and efficient finite element approximation for variable‐order time‐fractional reaction–diffusion equation with nonsingular kernel,
A novel uniform numerical approach to solve a singularly perturbed Volterra integro-differential equation,
Force computation for dielectrics using shape calculus,
Numerical dynamics of integrodifference equations,
Solution of ill-posed problems with Chebfun,
Positivity and discretization of Fredholm integral operators,
Monotonicity and discretization of Hammerstein integrodifference equations,
Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging,
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Comparison of fast boundary element methods on parametric surfaces,
A new Nyström-type method for Fredholm integral equations of the second kind,
Explicit expressions for 3D boundary integrals in potential theory,
The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions,
Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?,
Position and velocity perturbations for the determination of geopotential from space geodetic measurements,
A new method of solving noisy Abel-type equations,
An investigation into the use of the boundary integral method to model the motion of a single gas or vapour bubble in a liquid,
A MIXED-FEM AND BEM COUPLING FOR A TWO-DIMENSIONAL EDDY CURRENT PROBLEM,
Extrapolation of Nyström solution for two dimensional nonlinear Fredholm integral equations,
A FULLY DISCRETE GALERKIN SCHEME FOR A TWO-FOLD SADDLE POINT FORMULATION OF AN EXTERIOR NONLINEAR PROBLEM*,
Integral equation of mixed type and integrals of orthogonal polynomials,
Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations,
On approximate solutions of the generalized Volterra integral equation,
Fast Algorithms for Boundary Integral Equations,
Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature,
Central Part Interpolation Schemes for Integral Equations,
LOCALLY EFFICIENT AND RELIABLEA POSTERIORIERROR ESTIMATORS FOR DIRICHLET PROBLEMS,
Linear stability of Hill’s vortex to axisymmetric perturbations,
Linear stability of inviscid vortex rings to axisymmetric perturbations,
Numerical method for Stokes' first problem for a heated generalized second grade fluid with fractional derivative,
Stochastic Quasi-Likelihood for Case-Control Point Pattern Data,
Quadratic Spline Collocation for the Smoothed Weakly Singular Fredholm Integral Equations,
A convergence theorem for a class of Nyström methods for weakly singular integral equations on surfaces in $\mathbb {R}^3$,
Transient dynamics of a massive structure on the seismically oscillating foundation,
Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density,
Approximation methods and stability of singular integral equations for Freud exponential weights on the line,
APPLICATION OF COLLOCATION BEM FOR AXISYMMETRIC TRANSMISSION PROBLEMS IN ELECTRO- AND MAGNETOSTATICS,
Cosmological singularities and bounce in Cartan-Einstein theory,
Convergence analysis of oversampled collocation boundary element methods in 2D,
Semi-analytic integration for a parallel space-time boundary element method modelling the heat equation,
Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains,
Smooth solution of the second initial-boundary value problem for a model parabolic system in a semibounded nonsmooth domain on the plane,
Analytical and numerical investigation of the Fredholm integral equation for the heat radiation problem,
Where does smoothness count the most for Fredholm equations of the second kind with noisy information?,
Symmetric Galerkin BEM for bodies with unconstrained contours,
Electrostatic force computation with boundary element methods,
On the numerical solution of Plateau's problem,
A two-level ILU preconditioner for electromagnetic applications,
A new methodology for computing ionic profiles and disjoining pressure in swelling porous media,
On the numerical evaluation of the singular integrals of scattering theory,
Necessary and sufficient conditions for feedback Nash equilibria for the affine-quadratic differential game,
Adaptive Galerkin boundary element methods with panel clustering,
Uniform convergence of Nyström discretization on Hölder spaces,
The integral equation method for a steady kinematic dynamo problem,
Numerical analysis of a collocation method for functional integral equations,
Universal quadratures for boundary integral equations on two-dimensional domains with corners,
Risk averse elastic shape optimization with parametrized fine scale geometry,
Galerkin approximation with quadrature for the screen problem in \(\mathbb{R}^3\),
The complexity of Fredholm equations of the second kind: noisy information about everything,
Low-rank decomposition meets kernel learning: a generalized Nyström method,
Second kind boundary integral equation for multi-subdomain diffusion problems,
Approximate solution of the fractional advection-dispersion equation,
Chow's method of optimal control: A numerical solution,
Error estimate and extrapolation of a quadrature formula derived from a quartic spline quasi-interpolant,
Error-controlled model approximation for Gaussian process morphable models,
Numerical solution of multiple nonlinear Volterra integral equations,
On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem,
Treatment of domain integrals in boundary element methods,
Balanced POD for model reduction of linear PDE systems: convergence theory,
Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations,
An adaptive Huber method for non-linear systems of weakly singular second kind Volterra integral equations,
The factorization method for a conductive boundary condition,
Singular value expansion for the Green function of Helmholtz operator,
Vortex design problem,
The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind,
A new iterative technique for large and dense linear systems from the MEI method in electromagnetics,
Improvement of a sinc-collocation method for Fredholm integral equations of the second kind,
Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces,
A brief review of some application driven fast algorithms for elliptic partial differential equations,
On the solution of linear and nonlinear integral equation.,
Measurement-based perturbation theory and differential equation parameter estimation with applications to satellite gravimetry,
A Nyström method for weakly singular integral operators on surfaces,
On the implementation of 3D Galerkin boundary integral equations,
Risk hull method and regularization by projections of ill-posed inverse problems,
Fast cluster techniques for BEM.,
Rapid solution of first kind boundary integral equations in \(\mathbb R^3\).,
Stress computations on perforated polygonal domains.,
A new numerical approximation for Volterra integral equations combining two quadrature rules,
An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation,
A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis,
Efficient automatic quadrature in 3-D Galerkin BEM,
Preconditioning techniques for the iterative solution of scattering problems,
Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations,
A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient,
Compact gradient tracking in shape optimization,
The exact solution and stability analysis for integral equation of third or first kind with singular kernel,
Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral equations of the second kind,
Convergence of spline collocation for Volterra integral equations,
Optimal designs for linear models with Fredholm-type errors,
Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis,
Analysis and discretization of a variable-order fractional wave equation,
A fourth-order kernel-free boundary integral method for the modified Helmholtz equation,
Balanced POD for linear PDE robust control computations,
Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting,
A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel,
Product quasi-interpolation method for weakly singular integral equation eigenvalue problem,
Dispersion induced by the pollution for the wave equation,
Parallel \(\mathcal H\)-matrix arithmetics on shared memory systems,
Nyström type methods for Fredholm integral equations with weak singularities,
A fast Nyström-Broyden solver by Chebyshev compression,
May the singular integrals in BEM be replaced by zero?,
Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions,
A necessary and sufficient condition for the solvability of the nonlinear Schrödinger equation on a finite interval,
Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function,
Efficient quadrature rules for solving nonlinear fractional integro-differential equations of the Hammerstein type,
Note on the integral mean value method for Fredholm integral equations of the second kind,
Closed-form error estimates for the numerical solution of Fredholm integral equations of the second kind,
A new treatment based on hybrid functions to the solution of telegraph equations of fractional order,
A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM,
A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels,
Computation of the ARL for CUSUM-\(S^2\) schemes,
Analysis of quadrature methods for pricing discrete barrier options,
Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation,
Multilevel norms for \(H^{-1/2}\),
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations,
Time-property least-squares spectral method for population balance equations,
Quadrature methods for 2D and 3D problems,
A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates,
An efficient numerical method for a time-fractional telegraph equation,
Boundary layer solutions to singularly perturbed quasilinear systems,
Urysohn and Hammerstein operators on Hölder spaces,
An iterative splitting approach for linear integro-differential equations,
Bounds for the critical speed of climate-driven moving-habitat models,
Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems,
A high-order accurate accelerated direct solver for acoustic scattering from surfaces,
Extrapolation of the Galerkin solution for two-dimensional nonlinear Fredholm integral equations with orthogonal basis of Boubaker polynomials,
On the computation of a very large number of eigenvalues for selfadjoint elliptic operators by means of multigrid methods,
Computation of singular integral operators in wavelet coordinates