A Constructive Introduction to Finite Elements Method
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
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
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
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
Book summarySummary of the book… Book titleSpectral Methods for Non-Standard Eigenvalue Problems Book subtitleFluid and Structural Mechanics and Beyond Book…
Spectral Collocation Solutions to Problems on Unbounded Domains
Book summarySummary of the book… Book coverKeywordsspectral collocation; AuthorCălin-Ioan Gheorghiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Contents clickable1…
General Mathematics (textbook)
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:C.I.…
Spectral collocation solutions to a class of pseudo-parabolic equations
AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…
Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
AbstractAn elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered. For the…
On the accuracy of pseudospectral differentiation
AbstractFor various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters. The…
Publications
Numerical modeling of solidification
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author, title, publisher, year. Book TitlePublisherPrint ISBNAuthorsV. Soporan, C. Vamos, C.…
Read More A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis in [Numer. Math. 144, 451–477, 2020] to the convection-dominated regime.…
Read More A Constructive Introduction to Finite Elements Method
Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace eqution) 1.3. Some other boundary value problems 1.4. An eigenvalue…
Read More