یک روش انتگرال گیری چند مرحله ای ضمنی - صریح قطری مرتبه دوم
First Statement of Responsibility
/محمد رشیدی
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
: علوم ریاضی
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
چاپی
CONTENTS NOTE
Text of Note
فاقد فایل Word
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
کارشناسی ارشد
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ریاضی کاربردی
Date of degree
۱۳۹۴/۰۵/۲۵
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تبریز
SUMMARY OR ABSTRACT
Text of Note
Implicit-explicit time stepping methods have proved useful for efficiently solving problems with both stiff and nonstiff components. IMEX Runge-Kutta methods and IMEX multistep methods have been studied in the literature. But there are no available IMEX general linear methods (IMEX-GLMs). In this thesis, we construct IMEX schemes based on diagonally-implicit multi-stage integration methods. The new algorithms have great potential for practical use. Numerical results indicate the observed order of accuracy matches the theoretical order