| Publication | Date of Publication | Type |
|---|
| Proving the stability estimates of variational least-squares Kernel-Based methods | 2023-12-12 | Paper |
| Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces | 2023-07-19 | Paper |
| A Kernel-Based Least-Squares Collocation Method for Surface Diffusion | 2023-06-14 | Paper |
| A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds | 2022-12-13 | Paper |
| Meshfree semi-Lagrangian methods for solving surface advection PDEs | 2022-09-22 | Paper |
| A Kernel-Based Meshless Conservative Galerkin Method for Solving Hamiltonian Wave Equations | 2022-09-02 | Paper |
| Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities | 2021-11-01 | Paper |
| Complex Pattern Formations by Spatial Varying Parameters | 2021-10-12 | Paper |
| A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces | 2020-12-09 | Paper |
| A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels | 2020-10-02 | Paper |
| Discrete least-squares radial basis functions approximations | 2019-11-28 | Paper |
| Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method | 2019-06-21 | Paper |
| Weighted least-squares collocation methods for elliptic PDEs with mixed boundary conditions | 2019-06-06 | Paper |
| On meshfree numerical differentiation | 2018-09-17 | Paper |
| Doubly stochastic radial basis function methods | 2018-08-10 | Paper |
| An RBF-FD closest point method for solving PDEs on surfaces | 2018-08-01 | Paper |
| $H^2$-Convergence of Least-Squares Kernel Collocation Methods | 2018-03-09 | Paper |
| A Kernel-Based Embedding Method and Convergence Analysis for Surfaces PDEs | 2018-02-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268607 | 2017-06-20 | Paper |
| An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain | 2017-06-07 | Paper |
| NUMERICAL SIMULATIONS FOR SPACE–TIME FRACTIONAL DIFFUSION EQUATIONS | 2017-04-07 | Paper |
| Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations | 2016-12-13 | Paper |
| A localized meshless method for diffusion on folded surfaces | 2016-12-05 | Paper |
| A Fast Block-Greedy Algorithm for Quasi-optimal Meshless Trial Subspace Selection | 2016-05-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2948616 | 2015-10-06 | Paper |
| Numerical Caputo differentiation by radial basis functions | 2015-04-23 | Paper |
| Solving moving-boundary problems with the wavelet adaptive radial basis functions method | 2014-06-19 | Paper |
| Combinations of the method of fundamental solutions for general inverse source identification problems | 2014-05-07 | Paper |
| Approximate unconditional test procedure for comparing two ordered multinomials | 2014-04-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4919245 | 2013-05-08 | Paper |
| Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs | 2013-05-08 | Paper |
| Optimality of the method of fundamental solutions | 2013-03-25 | Paper |
| On numerical experiments for Cauchy problems of elliptic operators | 2013-03-25 | Paper |
| Moving-boundary problems solved by adaptive radial basis functions | 2012-08-30 | Paper |
| Applicability of the method of fundamental solutions | 2012-08-07 | Paper |
| Numerical simulation of two-dimensional combustion using mesh-free methods | 2012-08-07 | Paper |
| An adaptive-hybrid meshfree approximation method | 2012-07-02 | Paper |
| Boundary control for inverse Cauchy problems of the Laplace equations | 2012-02-27 | Paper |
| Numerical methods for backward Markov chain driven Black-Scholes option pricing | 2011-04-08 | Paper |
| An adaptive greedy technique for inverse boundary determination problem | 2010-11-05 | Paper |
| Dimension-splitting data points redistribution for meshless approximation | 2010-10-11 | Paper |
| Results on meshless collocation techniques | 2010-09-28 | Paper |
| Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems | 2010-09-28 | Paper |
| Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators | 2010-09-28 | Paper |
| Numerical simulations of 2D fractional subdiffusion problems | 2010-09-13 | Paper |
| Inverse source identification for Poisson equation | 2010-09-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3551820 | 2010-04-16 | Paper |
| An improved subspace selection algorithm for meshless collocation methods | 2010-03-29 | Paper |
| On approximate cardinal preconditioning methods for solving PDEs with radial basis functions | 2010-03-16 | Paper |
| Improved numerical solver for Kansa's method based on affine space decomposition | 2010-03-16 | Paper |
| Stable and Convergent Unsymmetric Meshless Collocation Methods | 2009-06-22 | Paper |
| On convergent numerical algorithms for unsymmetric collocation | 2009-05-04 | Paper |
| Arbitrary Precision Computations of Variations of Kansa's Method | 2009-03-12 | Paper |
| The role of the multiquadric shape parameters in solving elliptic partial differential equations | 2008-08-19 | Paper |
| Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels | 2007-09-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3423931 | 2007-02-15 | Paper |
| Identification of source locations in two-dimensional heat equations | 2006-09-06 | Paper |
| Adaptive multiquadric collocation for boundary layer problems | 2006-03-16 | Paper |
| A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation | 2005-09-29 | Paper |
| Preconditioning for radial basis functions with domain decomposition methods | 2005-08-17 | Paper |
| A least-squares preconditioner for radial basis functions collocation methods | 2005-04-28 | Paper |
| A univariate quasi-multiquadric interpolation with better smoothness | 2005-04-07 | Paper |
| Multiquadric collocation method with integralformulation for boundary layer problems | 2005-04-07 | Paper |
| Multivariate quasi-interpolation schemes for dimension-splitting multiquadric | 2005-02-22 | Paper |