{"product_id":"a-class-of-p-stable-hybrid-linear-multistep-methods-with-minimal-phase-lag-error-for-second-order-initial-value-problems-von-isaac-felix","title":"A Class of P-Stable Hybrid Linear Multistep Methods with Minimal Phase-Lag Error for Second Order Initial Value Problems","description":"\u003cp\u003eMaster'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 \u0026gt; 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).\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783668811430\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783668811430","offer_id":39437308231773,"sku":"9783668811430","price":27.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/2066483f-740f-4da2-a257-71a4a174a9c6.jpg?v=1778562852","url":"https:\/\/shop.autorenwelt.de\/en\/products\/a-class-of-p-stable-hybrid-linear-multistep-methods-with-minimal-phase-lag-error-for-second-order-initial-value-problems-von-isaac-felix","provider":"Autorenwelt Shop","version":"1.0","type":"link"}