Name: A Class of P-Stable Hybrid Linear Multistep Methods With Minimal Phase-Lag Error for Second Order Initial Value Problems (en Inglés)
SKU: 63034742
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Author: Isaac Felix

portada A Class of P-Stable Hybrid Linear Multistep Methods With Minimal Phase-Lag Error for Second Order Initial Value Problems (en Inglés)

A Class of P-Stable Hybrid Linear Multistep Methods With Minimal Phase-Lag Error for Second Order Initial Value Problems (en Inglés)

Formato

Libro Físico

Editorial

Grin Verlag

Autor

Isaac Felix

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

ISBN13

9783668811430

A Class of P-Stable Hybrid Linear Multistep Methods With Minimal Phase-Lag Error for Second Order Initial Value Problems (en Inglés)

Isaac Felix (Autor) · Grin Verlag · Tapa Blanda

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Reseña del libro "A Class of P-Stable Hybrid Linear Multistep Methods With Minimal Phase-Lag Error for Second Order Initial Value Problems (en Inglés)"

Master's Thesis from the year 2018 in the subject Mathematics - Miscellaneous, grade: 82.0%, University of Benin, language: English, abstract: P-stable hybrid linear multistep methods (HLMMs) have been an interesting focus for the numerical solution of second order initial value problems (IVPs) in ordinary di_erential equations (ODEs), because of their high order of accuracy. In this thesis, we present a new class of P-stable HLMMs with order p = 2 and p = 4 respectively for the numerical solution of second order systems. The hybrid schemes which are obtained via Pade 0 approximation approach have minimum Phase-lag error. Numerical experiments are carried out to show the accuracy of the proposed schemes. Nevertheless, the desire in this work is on high order P-stable schemes (p > 4). We give a proposition with proof, stating the limitation of the approach in search for higher order P-stable formulas. Key words: P-stability, Phase-lag error (PLE) constant, Hybrids, order, Interval of periodicity, Pade 0 approximation, Principal local truncation error (PLTE).