GaussQR

GaussQR: Stable Gaussian computation. Welcome to the GaussQR software website, developed both to facilitate experimentation with positive definite kernels (radial basis functions) and as supplemental content for the new book Kernel-Based Approximation Methods in MATLAB available from World Scientific Press. Although we are always updating our software library, we are happy to announce the release of the GaussQR 2.0 library (previously called RBF-QR) which has a host of brand new examples designed to demonstrate topics in our book. The upgrade should be relatively painless if you have been keeping up with the repository, although some adjustment is needed if you were still running rbfqr-1.3. Please contact us if you have difficulty using this, or if inconsistencies appear.


References in zbMATH (referenced in 68 articles )

Showing results 1 to 20 of 68.
Sorted by year (citations)

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  1. Cavoretto, R.; De Rossi, A.: Adaptive refinement techniques for RBF-PU collocation (2020)
  2. Cavoretto, Roberto; De Rossi, Alessandra: A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs (2020)
  3. Cavoretto, Roberto; De Rossi, Alessandra: An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains (2020)
  4. Cavoretto, Roberto; De Rossi, Alessandra: Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme (2020)
  5. Cavoretto, Roberto; De Rossi, Alessandra: Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods (2020)
  6. Chiu, Sung Nok; Ling, Leevan; McCourt, Michael: On variable and random shape Gaussian interpolations (2020)
  7. De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M.: Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging (2020)
  8. De Marchi, S.; Marchetti, F.; Perracchione, E.: Jumping with variably scaled discontinuous kernels (VSDKs) (2020)
  9. Esmaeili, H.; Moazami, D.: Application of Hilbert-Schmidt SVD approach to solve linear two-dimensional Fredholm integral equations of the second kind (2020)
  10. Esmaeili, H.; Moazami, Davoud: A stable kernel-based technique for solving linear Fredholm integral equations of the second kind and its applications (2020)
  11. Gao, Wenwu; Fasshauer, Gregory E.; Sun, Xingping; Zhou, Xuan: Optimality and regularization properties of quasi-interpolation: deterministic and stochastic approaches (2020)
  12. Karimi, N.; Kazem, S.; Ahmadian, D.; Adibi, H.; Ballestra, L. V.: On a generalized Gaussian radial basis function: analysis and applications (2020)
  13. Karvonen, Toni; Särkkä, Simo: Worst-case optimal approximation with increasingly flat Gaussian kernels (2020)
  14. Karvonen, Toni; Wynne, George; Tronarp, Filip; Oates, Chris; Särkkä, Simo: Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions (2020)
  15. Reshniak, Viktor; Melnikov, Yuri: Method of Green’s potentials for elliptic PDEs in domains with random apertures (2020)
  16. Soradi-Zeid, Samaneh: Efficient radial basis functions approaches for solving a class of fractional optimal control problems (2020)
  17. Tanaka, Ken’ichiro: Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces (2020)
  18. Ahmadvand, M.; Esmaeilbeigi, M.; Kamandi, A.; Yaghoobi, F. M.: A novel hybrid trust region algorithm based on nonmonotone and LOOCV techniques (2019)
  19. Ahmadvand, Mohammad; Esmaeilbeigi, Mohsen; Kamandi, Ahmad; Yaghoobi, Farajollah Mohammadi: An improved hybrid-ORBIT algorithm based on point sorting and MLE technique (2019)
  20. Azarnavid, Babak; Nabati, Mohammad; Emamjome, Mahdi; Parand, Kourosh: Imposing various boundary conditions on positive definite kernels (2019)

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