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On the effect of different samplings to the solution of parametric PDE Eigenvalue Problems
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this article we apply reduced order techniques for the approximation of parametric eigenvalue problems. The effect of the choice of sampling points is investigated. Here we use…
Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters…
A hybrid Haar wavelet collocation method for nonlocal hyperbolic partial differential equations
Gopal Priyadarshi, Abdul Halim
In this paper, we propose a hybrid collocation method based on finite difference and Haar wavelets to solve nonlocal hyperbolic partial differential equations. Developing an effici…
Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods
Gopal Priyadarshi, Sila Ovgu Korkut
In this article, we study wavelet collocation methods based on Taylor and Chebyshev wavelets for the source identification in parabolic inverse problem. In the proposed method, hig…
On the matching of eigensolutions to parametric partial differential equations
Moataz M. Alghamdi, Fleurianne Bertrand, Daniele Boffi +3
In this paper a novel numerical approximation of parametric eigenvalue problems is presented. We motivate our study with the analysis of a POD reduced order model for a simple one…