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Journal of Computational Physics, ISSN 0021-9991, 08/2017, Volume 342, pp. 211 - 228
We present a generalization of the RBF-FD method that computes RBF-FD weights in finite-sized neighborhoods around the centers of RBF-FD stencils by... 
Radial basis function | One-sided stencil | High-order method | Meshfree method | Domain decomposition | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | APPROXIMATIONS | EQUATIONS | INTERPOLANTS | PHYSICS, MATHEMATICAL | ANALYTIC-FUNCTIONS
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 04/2018, Volume 29, Issue 4, pp. 766 - 778
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2018, Volume 373, pp. 722 - 735
We present a new method for the solution of PDEs on manifolds M⊂Rd of co-dimension one using stable scale-free radial basis function (RBF) interpolation. Our... 
Radial basis function | Manifolds | High-order method | POLYNOMIALS | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EQUATIONS | STABLE COMPUTATIONS | PHYSICS, MATHEMATICAL
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2018, Volume 372, pp. 616 - 639
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2017, Volume 342, p. 211
We present a generalization of the RBF-FD method that computes RBF-FD weights in finite-sized neighborhoods around the centers of RBF-FD stencils by... 
Studies | Radial basis function | Time dependence | Parameter estimation | Decoupling | Partial differential equations | Basis functions | Boundary conditions | Dirichlet problem | Finite element analysis | Finite difference method
Journal Article
Journal Article
IEEE Transactions on Neural Networks and Learning Systems, ISSN 2162-237X, 12/2019, pp. 1 - 5
We show theoretical similarities between the least squares support vector regression (LS-SVR) model with a radial basis functions (RBFs) kernel and maximum a... 
radial basis function (RBF) networks | Bayesian modeling | least squares support vector regression (LS-SVR)
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2018, Volume 373, p. 722
We present a new method for the solution of PDEs on manifolds M ⊂R£sup£d¥sup¥ of co-dimension one using stable scale-free radial basis function (RBF)... 
Partial differential equations | Topological manifolds | Basis functions | Stagnation | Surface chemistry | Coordinates | Radial basis function | Toruses | Interpolation | Mathematical analysis | Polynomials | Finite difference method | Cartesian coordinates
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 05/2017, Volume 110, Issue 7, pp. 603 - 617
We present a novel methodology to effectively localize radial basis function approximation methods in three dimensions. The local scheme requires shape... 
Ginzburg-Landau relaxation | radial basis functions | shape parameter optimization | free energy functional
Journal Article