Georgescu A. — Asymptotic Treatment of Differential Equations (Applied Mathematics) :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Georgescu A. — Asymptotic Treatment of Differential Equations (Applied Mathematics)

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Asymptotic Treatment of Differential Equations (Applied Mathematics)

Автор: Georgescu A.

Аннотация:

The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель без номеров страниц

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 274

Добавлена в каталог: 01.07.2020

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Secular problems      70—75 81
Secular term      41 110
Secular term      41 110
Sequences equivalent      11
Sequences equivalent      11
Sequences equivalent      11
Sequences equivalent      11
Series intermediate      97 133
Series intermediate      97 133
Shanks transform      37
Shanks transform      37
Shock layer      see "Inner transition layer"
Shock layer      see "Inner transition layer"
Singular perturbation      28 47 49—50
Singular perturbation      28 47 49—50
Singular points      3 44 46
Singular points      3 44 46
Singularity of equations      27 41—45
Singularity of equations      27 41—45
Small parameters      60—62 70
Small parameters      60—62 70
Small parameters integro—differential equations with      144
Small parameters integro—differential equations with      144
Small parameters integro—differential equations with      144
Small parameters integro—differential equations with      144
Small parameters two—point conditions      142—144
Small parameters two—point conditions      142—144
Small parameters two—point conditions      142—144
Small parameters two—point conditions      142—144
Standard functions      11
Standard functions      11
Stieltjes      18 31
Stieltjes      18 31
Stirling's formula      4 32
Stirling's formula      4 32
Stokes lines      14 30
Stokes lines      14 30
Stokes method of stationary phases      28
Stokes method of stationary phases      28
Stokes method of stationary phases      28
Stokes method of stationary phases      28
Stokes model      176 186 189 223—231
Stokes model      176 186 189 223—231
Stokes model      176 186 189 223—231
Stokes model      176 186 189 223—231
Stokes paradox      214 220
Stokes paradox      214 220
Stokes phenomenon      14 15
Stokes phenomenon      14 15
Stokes problem      214 220 228
Stokes problem      214 220 228
Stokes solution      228
Stokes solution      228
Stretched coordinates      109—113
Stretched coordinates      109—113
Stretched coordinates Lighthill method      113
Stretched parameters      110
Strouhal number      147
Strouhal number      147
Suppression of primary singularity      37
Suppression of primary singularity      37
Synoptic flows      244—249
Synoptic flows      244—249
Taylor expansion      24 37
Taylor expansion      24 37
Taylor series      14 23 24 125
Taylor series      14 23 24 125
Thermodynamic state for ideal gases      244
Thermoelasticity      252
Tikhonov's theorem      120—121 137 144

Topological spaces      2
Topological spaces      2
Transition point      see "Turning point"
Transition point      see "Turning point"
Transonic flow      65
Triple—deck method      83
Turning point      47
Two—point conditions      142
Two—point conditions      142
Two—point conditions      142
Two—point conditions      142
Two—variable expansions method      156
Two—variable expansions method      156
Two—variable expansions method      156
Two—variable expansions method      156
Unbounded domain      2 3
Unbounded domain      2 3
Unperturbed phenomenon      41
Unperturbed phenomenon      41
Validity, domain of      12 78—79 90 92 101 103 104
Validity, domain of      12 78—79 90 92 101 103 104
van der Pol equation      175
van der Pol equation      175
Van der Pol method      168 172
Van der Pol method      168 172
Van Dyke's $n \times m$ matching principle      82—84 88—89 91—100 102 104
Van Dyke's $n \times m$ matching principle      82—84 88—89 91—100 102 104
Van Dyke's $n \times m$ matching principle      82—84 88—89 91—100 102 104
Van Dyke's $n \times m$ matching principle      82—84 88—89 91—100 102 104
Variables fast      148—149
Variables fast      148—149
Variables fast      148—149
Variables fast      148—149
Variables independent      113
Variables independent      113
Variables local      108
Variables local      108
Variables local      108
Variables local      108
Variables slow      148—149
Variables slow      148—149
Variables slow      148—149
Variables slow      148—149
Variation of the solution      77
Vasilieva's theorem      122—124 137 144
Vasilieva's theorem      122—124 137 144
Vasilieva's theorem      122—124 137 144
Vasilieva's theorem      122—124 137 144
Viscous forces      200
Viscous forces      200
Viscous terms      202 203
Viscous terms      202 203
Viscous terms      202 203
Viscous terms      202 203
Volterra differential equations      45 144
Volterra differential equations      45 144
wave number      54
wave number      54
Wave propagation in media      252
Wave propagation in media      252
Wave theory      28
Wave theory      28
Weber equation      33 34
Weber equation      33 34
Weber — Hermite equation      44
Weber — Hermite equation      44
Whitehead paradox      221
Whitehead paradox      221
WKBJ method      14 47 49 51 56
WKBJ method      14 47 49 51 56

1 2

О проекте