| Publication | Date of Publication | Type |
|---|
| Fast multiscale functional estimation in optimal EMG placement for robotic prosthesis controllers | 2024-01-23 | Paper |
| Convergence of deep convolutional neural networks | 2023-10-17 | Paper |
| Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation | 2023-09-13 | Paper |
| Sparse Deep Neural Network for Nonlinear Partial Differential Equations | 2023-04-04 | Paper |
| A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form | 2023-02-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5053232 | 2022-12-06 | Paper |
| Inverting incomplete Fourier transforms by a sparse regularization model and applications in seismic wavefield modeling | 2022-08-04 | Paper |
| Parameter Choices for Sparse Regularization with the $\ell_1$ Norm | 2022-05-14 | Paper |
| Convergence of Deep Neural Networks with General Activation Functions and Pooling | 2022-05-13 | Paper |
| A content-adaptive unstructured grid based regularized CT reconstruction method with a SART-type preconditioned fixed-point proximity algorithm | 2022-02-16 | Paper |
| Computing oscillatory integrals: Partition of the integration interval based on the singularity and the wave number of the integrand | 2021-12-17 | Paper |
| Regularization in a functional reproducing kernel Hilbert space | 2021-09-02 | Paper |
| Convergence of Deep ReLU Networks | 2021-07-26 | Paper |
| An $L^p$-weak Galerkin method for second order elliptic equations in non-divergence form | 2021-06-06 | Paper |
| Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling | 2021-02-03 | Paper |
| Multiplicative Noise Removal: Nonlocal Low-Rank Model and Its Proximal Alternating Reweighted Minimization Algorithm | 2021-01-11 | Paper |
| Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation | 2020-12-08 | Paper |
| Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems | 2020-06-24 | Paper |
| Fixed-point proximity algorithm for minimal norm interpolation | 2020-04-27 | Paper |
| Adaptive display images | 2020-03-10 | Paper |
| A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction | 2020-02-20 | Paper |
| Sparsity promoting regularization for effective noise suppression in SPECT image reconstruction | 2019-11-28 | Paper |
| A two-step fixed-point proximity algorithm for a class of non-differentiable optimization models in machine learning | 2019-11-13 | Paper |
| Matrix completion via minimizing an approximate rank | 2019-10-10 | Paper |
| Computing integrals involved the Gaussian function with a small standard deviation | 2019-06-27 | Paper |
| Generalized Mercer Kernels and Reproducing Kernel Banach Spaces | 2019-06-20 | Paper |
| Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data | 2019-05-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4620441 | 2019-02-08 | Paper |
| Sparse Support Vector Machines in Reproducing Kernel Banach Spaces | 2019-01-22 | Paper |
| A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation | 2018-09-28 | Paper |
| A fast discrete spectral method for stochastic partial differential equations | 2017-12-06 | Paper |
| Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors | 2017-11-20 | Paper |
| Computing highly oscillatory integrals | 2017-10-30 | Paper |
| Multiplicative noise removal with a sparsity-aware optimization model | 2017-10-12 | Paper |
| Reducing Staircasing Artifacts in SPECT Reconstruction by an Infimal Convolution Regularization | 2017-07-14 | Paper |
| A second-order hybrid finite volume method for solving the Stokes equation | 2017-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5270393 | 2017-06-23 | Paper |
| Two-step fixed-point proximity algorithms for multi-block separable convex problems | 2017-06-06 | Paper |
| Multiplicative noise removal in imaging: an exp-model and its fixed-point proximity algorithm | 2016-08-18 | Paper |
| A collocation method solving integral equation models for image restoration | 2016-08-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3186767 | 2016-08-12 | Paper |
| Wavelet inpainting with the \(\ell_{0}\) sparse regularization | 2016-05-19 | Paper |
| The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels | 2016-03-04 | Paper |
| An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control | 2016-02-19 | Paper |
| Noisy 1-bit compressive sensing: models and algorithms | 2015-12-22 | Paper |
| Operator Reproducing Kernel Hilbert Spaces | 2015-12-18 | Paper |
| Aggregation of regularized solutions from multiple observation models | 2015-08-10 | Paper |
| Oscillation Preserving Galerkin Methods for Fredholm Integral Equations of the Second Kind with Oscillatory Kernels | 2015-07-04 | Paper |
| Multiscale Methods for Fredholm Integral Equations | 2015-06-22 | Paper |
| Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing | 2015-06-15 | Paper |
| A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation | 2015-02-19 | Paper |
| A construction of higher-order finite volume methods | 2015-01-30 | Paper |
| Orthogonal polynomial expansions on sparse grids | 2014-09-29 | Paper |
| Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids | 2014-09-10 | Paper |
| Nesterov's algorithm solving dual formulation for compressed sensing | 2014-08-05 | Paper |
| Reprint of ``Nesterov's algorithm solving dual formulation for compressed sensing | 2014-08-05 | Paper |
| Higher-order finite volume methods. II: Inf-sup condition and uniform local ellipticity | 2014-08-05 | Paper |
| An approximate sparsity model for inpainting | 2014-07-18 | Paper |
| Refinement of Operator-valued Reproducing Kernels | 2014-04-01 | Paper |
| The Moreau envelope approach for the L1/TV image denoising model | 2014-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2865655 | 2013-12-02 | Paper |
| Fast Fourier-Galerkin methods for nonlinear boundary integral equations | 2013-09-18 | Paper |
| On computing with the Hilbert spline transform | 2013-05-06 | Paper |
| Proximity algorithms for the L1/TV image denoising model | 2013-04-15 | Paper |
| Finite rank kernels for multi-task learning | 2013-04-15 | Paper |
| Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations | 2013-03-14 | Paper |
| Higher-order finite volume methods for elliptic boundary value problems | 2012-12-21 | Paper |
| Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction | 2012-12-03 | Paper |
| A proximity algorithm accelerated by Gauss–Seidel iterations for L1/TV denoising models | 2012-10-29 | Paper |
| Multilevel preconditioning for the finite volume method | 2012-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2880875 | 2012-04-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2880993 | 2012-04-17 | Paper |
| Multiscale collocation methods for ill-posed integral equations via a coupled system | 2012-03-19 | Paper |
| Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations | 2012-02-22 | Paper |
| A FAST ALGORITHM FOR COMPUTING SAMPLE ENTROPY | 2011-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3174056 | 2011-10-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3174152 | 2011-10-12 | Paper |
| Filters of wavelets on invariant sets for image denoising | 2011-08-16 | Paper |
| B-spline quasi-interpolation on sparse grids | 2011-07-22 | Paper |
| Orthonormal bases with nonlinear phases | 2011-06-07 | Paper |
| Proximity algorithms for image models: denoising | 2011-05-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3085557 | 2011-03-31 | Paper |
| A fast collocation method for eigen-problems of weakly singular integral operators | 2011-01-16 | Paper |
| A Fast Collocation Method for Solving Stochastic Integral Equations | 2010-11-11 | Paper |
| Approximation of high-dimensional kernel matrices by multilevel circulant matrices | 2010-09-01 | Paper |
| Fast Multilevel Augmentation Methods for Solving Hammerstein Equations | 2010-07-13 | Paper |
| Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition | 2010-06-22 | Paper |
| Integral equation models for image restoration: high accuracy methods and fast algorithms | 2010-04-29 | Paper |
| Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs | 2010-03-19 | Paper |
| Approximation of kernel matrices by circulant matrices and its application in kernel selection methods | 2010-02-26 | Paper |
| Fast discrete algorithms for sparse Fourier expansions of high dimensional functions | 2010-01-26 | Paper |
| Multiparameter regularization for Volterra kernel identification via multiscale collocation methods | 2010-01-04 | Paper |
| Graded Galerkin methods for the high-order convection-diffusion problem | 2009-11-13 | Paper |
| A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations | 2009-08-20 | Paper |
| Optimal learning of bandlimited functions from localized sampling | 2009-06-11 | Paper |
| Fourier spectrum characterization of Hardy spaces and applications | 2009-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3609562 | 2009-03-06 | Paper |
| Fast collocation methods for solving ill-posed integral equations of the first kind | 2008-12-22 | Paper |
| Two-dimensional empirical mode decomposition by finite elements | 2008-05-22 | Paper |
| Fast collocation methods for high-dimensional weakly singular integral equations | 2008-04-23 | Paper |
| Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations | 2008-03-20 | Paper |
| On translation invariant operators which preserve the B-spline recurrence | 2008-03-12 | Paper |
| Fast numerical collocation solutions of integral equations | 2008-01-18 | Paper |
| Adaptive algorithms of nonlinear approximation with finite terms | 2007-12-06 | Paper |
| Hybrid collocation methods for Fredholm integral equations with weakly singular kernels | 2007-05-30 | Paper |
| On the matrix completion problem for multivariate filter bank construction | 2007-04-26 | Paper |
| An analysis of discontinuous Galerkin methods for elliptic problems | 2006-08-16 | Paper |
| A fast wavelet collocation method for integral equations on polygons | 2006-07-25 | Paper |
| Galerkin Methods Based on Hermite Splines for Singular Perturbation Problems | 2006-06-02 | Paper |
| Multilevel augmentation methods for differential equations | 2006-05-29 | Paper |
| A B-spline approach for empirical mode decompositions | 2006-05-29 | Paper |
| The Bedrosian identity for the Hilbert transform of product functions | 2006-05-17 | Paper |
| A multilevel augmentation method for solving ill-posed operator equations | 2006-03-24 | Paper |
| Shadow block iteration for solving linear systems obtained from wavelet transforms | 2006-01-10 | Paper |
| Tree wavelet approximations with applications | 2005-11-30 | Paper |
| Fast Boolean approximation methods for solving integral equations in high dimensions | 2005-10-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5315803 | 2005-09-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5314382 | 2005-09-05 | Paper |
| Biorthogonal multivariate filter banks from centrally symmetric matrices | 2005-06-23 | Paper |
| Piecewise linear spectral sequences | 2005-04-27 | Paper |
| An implementation of fast wavelet Galerkin methods for integral equations of the second kind | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4459973 | 2004-05-18 | Paper |
| Multi-level iteration methods for solving integral equations of the second kind | 2004-03-17 | Paper |
| The cascade algorithm for the numerical computation of refinable functions | 2004-03-15 | Paper |
| Multivariate Filter Banks Having Matrix Factorizations | 2004-01-19 | Paper |
| A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels | 2004-01-18 | Paper |
| Adaptive wavelet methods for elliptic operator equations with nonlinear terms | 2003-05-04 | Paper |
| Superconvergence of the iterated degenerate kernel method | 2002-10-22 | Paper |
| A factorization method for identification of Volterra systems | 2002-08-22 | Paper |
| Deterministic convergence of an online gradient method for neural networks | 2002-08-22 | Paper |
| A multilevel method for solving operator equations | 2002-07-18 | Paper |
| Fast Collocation Methods for Second Kind Integral Equations | 2002-07-08 | Paper |
| Discrete wavelet Petrov--Galerkin methods | 2002-04-23 | Paper |
| Correction method and extrapolation method for singular two-point boundary value problems | 2001-11-01 | Paper |
| The discrete Petrov-Galerkin method for weakly singular integral equations | 2001-07-30 | Paper |
| Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels | 2001-07-30 | Paper |
| Nonlinear functionals of wavelet expansions -- adaptive reconstruction and fast evaluation | 2001-05-31 | Paper |
| Subdivision schemes for iterated function systems | 2001-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4259919 | 2000-01-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4259931 | 2000-01-13 | Paper |
| A construction of refinable sets for interpolating wavelets | 1999-09-16 | Paper |
| A construction of interpolating wavelets on invariant sets | 1999-08-31 | Paper |
| The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes | 1999-06-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4764050 | 1998-06-07 | Paper |
| Quadratures for boundary integral equations of the first kind with logarithmic kernels | 1998-05-13 | Paper |
| The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations | 1998-05-11 | Paper |
| Distances between oriented curves in geometric modeling | 1998-03-23 | Paper |
| Wavelet Galerkin methods for second-kind integral equations | 1998-02-09 | Paper |
| Reconstruction and decomposition algorithms for biorthogonal multiwavelets | 1997-05-20 | Paper |
| Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations | 1997-04-14 | Paper |
| Derivative corrections for quadrature formulas | 1997-03-11 | Paper |
| Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line | 1996-12-08 | Paper |
| An extrapolation method for a class of boundary integral equations | 1996-11-26 | Paper |
| Constrained best approximation in Hilbert space III. Applications of \(n\)-convex functions | 1996-11-25 | Paper |
| Degree reduction of Bézier curves by uniform approximation with endpoint interpolation | 1996-05-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4878631 | 1996-05-14 | Paper |
| Dual cones, constrained \(n\)-convex, \(L_ p\)-approximation, and perfect splines | 1995-10-30 | Paper |
| Constrained \(L_ p\)-approximation by generalized \(n\)-convex functions induced by ECT-systems | 1995-07-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4325952 | 1995-06-30 | Paper |
| Using the matrix refinement equation for the construction of wavelets on invariant sets | 1995-06-29 | Paper |
| Singularity preserving Galerkin methods for weakly singular Fredholm integral equations | 1995-04-02 | Paper |
| Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind | 1994-06-01 | Paper |
| Numerical solutions for weakly singular Hammerstein equations and their superconvergence | 1993-01-26 | Paper |
| Degenerate kernel method for multi-variable Hammerstein equations | 1993-01-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4016601 | 1993-01-16 | Paper |
| A duality approach to best uniform convex approximation | 1992-09-27 | Paper |
| A characterization of the solution of a Fredholm integral equation with \(L^ \infty\) forcing term | 1992-08-13 | Paper |
| Degenerate Kernel Method for Hammerstein Equations | 1991-01-01 | Paper |
| Numerical solutions for weakly singular Fredholm integral equations of the second kind | 1991-01-01 | Paper |
| Best \(L_ p\) approximation with multiple constraints for \(1\leq p<\infty\) | 1991-01-01 | Paper |
| Approximation inLp[0,1 byn-convex functions] | 1990-01-01 | Paper |
| The computation of a best monotoneLpapproximation for 1 ≤p< ∞ | 1990-01-01 | Paper |
| Best quasi-convex uniform approximation | 1990-01-01 | Paper |
| Best piecewise monotone uniform approximation | 1990-01-01 | Paper |
| On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)] | 1990-01-01 | Paper |
| Regularity of the solution of Hammerstein equations with weakly singular kernel | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3349386 | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3350110 | 1989-01-01 | Paper |
| Recurrence formula for B-splines with respect to a class of differential operators | 1985-01-01 | Paper |
| Leibniz' formula of generalized difference with respect to a class of differential operators and recurrence formula of their Green's function | 1984-01-01 | Paper |
