Towards a Lanczos' -Method Toolkit for Differential Problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Trindade, M (Autor) Outra; Matos, J (Autor) Outra; Vasconcelos, PB (Autor) FEP

Revista

Título: Mathematics in Computer Science

Vol. 10 Nº 3

Páginas: 313-329

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 7 Citações

Scopus - 5 Citações

Outras Informações

ID Authenticus: P-00K-EAB

DOI: 10.1007/s11786-016-0269-x

Abstract (EN): The aim of this work is to build a numerical software library based on the -method to solve differential problems using MATLAB. The -method can be very effective in the solution of certain type of these problems, and therefore, the existence of a numerical library for its dissemination is of major importance. Furthermore, the method has been used for the solution of particular problems but has not yet been explored as a general technique. Focus will be on stability issues, namely those issued from the solution of algebraic linear systems required for the process. Additionally, preconditioners for the solution with the -method will be tackled, with emphasizes on incomplete LU factorizations and (block) Jacobi preconditioners. We also propose an iterative approach, build upon an LU factorization over a moderate initial size, generating better approximations and providing a priori error estimate at each iteration. Numerical results enlightening the efficiency of the proposed methods will be presented.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17