High order locally one-dimensional method for parabolic problems

Samir Karaa

doi:10.1007/978-3-540-30497-5_20

High order locally one-dimensional method for parabolic problems

Samir Karaa^*

^*المؤلف المقابل لهذا العمل

Mathematics & Statistics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

ملخص

We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

اللغة الأصلية	English
الصفحات (من إلى)	124-129
عدد الصفحات	6
دورية	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
مستوى الصوت	3314
المعرِّفات الرقمية للأشياء	https://doi.org/10.1007/978-3-540-30497-5_20
حالة النشر	Published - 2004

ASJC Scopus subject areas

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الوصول إلى المستند

10.1007/978-3-540-30497-5_20

الملفات والروابط الأخرى

قم بذكر هذا

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title = "High order locally one-dimensional method for parabolic problems",

abstract = "We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.",

author = "Samir Karaa",

year = "2004",

doi = "10.1007/978-3-540-30497-5_20",

language = "English",

volume = "3314",

pages = "124--129",

journal = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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TY - JOUR

T1 - High order locally one-dimensional method for parabolic problems

AU - Karaa, Samir

PY - 2004

Y1 - 2004

N2 - We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

AB - We propose a high order locally one-dimensional scheme for solving parabolic problems. The method is fourth-order in space and second-order in time. It is unconditionally stable and provides a computationally efficient implicit scheme. Numerical experiments are conducted to test its high accuracy and to compare it with other schemes.

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U2 - 10.1007/978-3-540-30497-5_20

DO - 10.1007/978-3-540-30497-5_20

M3 - Article

AN - SCOPUS:35048857917

SN - 0302-9743

VL - 3314

SP - 124

EP - 129

JO - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

JF - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -

High order locally one-dimensional method for parabolic problems

ملخص

ASJC Scopus subject areas

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