Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices

I. Faragó, P. Tarvainen

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

One-step algebraic models with symmetric and positive definite (SPD) tridiagonal Toeplitz matrices are introduced and their qualitative properties are studied. Theoretical results are applied to the numerical solution of parabolic differential equations, with illustrations by numerical examples. Possible extensions as well as arising open problems are discussed in concluding remarks.

Original languageEnglish
Pages (from-to)177-192
Number of pages16
JournalPeriodica Mathematica Hungarica
Volume35
Issue number3
Publication statusPublished - 1997

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Parabolic Differential Equations
Toeplitz matrix
Qualitative Properties
Tridiagonal matrix
Qualitative Analysis
Positive definite
Open Problems
Numerical Solution
Numerical Examples
Model

Keywords

  • Numerical solution of parabolic differential equations
  • One-step algebraic models with SPD tridiagonal Toeplitz matrices
  • Qualitative analysis

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Qualitative analysis of one-step algebraic models with tridiagonal Toeplitz matrices. / Faragó, I.; Tarvainen, P.

In: Periodica Mathematica Hungarica, Vol. 35, No. 3, 1997, p. 177-192.

Research output: Contribution to journalArticle

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