Călin-Ioan Gheorghiu, Author at Tiberiu Popoviciu Institute of Numerical Analysis

Posts by Călin-Ioan Gheorghiu

Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

28 Apr 2021

AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…

Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

2 Mar 2021

AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

20 Jan 2021

AbstractWe are concerned with the study of some classical spectral collocation methods, mainly Chebyshev and sinc as well as with…

Accurate spectral collocation solutions to some Bratu’s type boundary value problems

2 Dec 2020

AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems…

Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics

15 Sep 2020

AbstractIt is well established that spectral collocation methods based on classical orthogonal polynomials, in spite of their high order accuracy,…

A Constructive Introduction to Finite Elements Method

1 Aug 2020

Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace…

Finite Element Method and Applications

30 Jul 2020

Book summarySummary of the book… Book cover Contents clickableIntroduction by Acad. Caius Iacob Foreword Functional Analysis Itinerary 1.1. Vector spaces.…

Numerical Methods for Dynamical Systems

29 Jul 2020

Book summarySummary of the book… Book coverContentsCh. 1 Keywords? PDFpdf file Referencessee the expanding block below Cite this book as:C.I.…

Spectral Methods for Differential Problems

17 Jul 2020

Book summarySummary of the book… Book cover Contents clickableI First Part 1 Chebyshev polynomials 1.1 General properties 1.2 Fourier and…

Spectral Methods for Non-Standard Eigenvalue Problems. Fluid and Structural Mechanics and Beyond

17 Jul 2020

Book summarySummary of the book… Book titleSpectral Methods for Non-Standard Eigenvalue Problems Book subtitleFluid and Structural Mechanics and Beyond Book…

Posts by Călin-Ioan Gheorghiu

Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited

Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems

Accurate spectral collocation computation of high order eigenvalues for singular Schrödinger equations

Accurate spectral collocation solutions to some Bratu’s type boundary value problems

Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics

A Constructive Introduction to Finite Elements Method

Finite Element Method and Applications

Numerical Methods for Dynamical Systems

Spectral Methods for Differential Problems

Spectral Methods for Non-Standard Eigenvalue Problems. Fluid and Structural Mechanics and Beyond

Publications

On high-order conforming finite element methods for ill-posed Helmholtz problems

On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators

Tikhonov regularization of a perturbed heavy ball system with vanishing damping

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Posts by Călin-Ioan Gheorghiu

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