Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Borovikov V.A. — Uniform stationary phase method Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Uniform stationary phase method Автор: Borovikov V.A. Язык: Рубрика: Математика/ Серия: Сделано в холле, Памяти Владимира Андреевича Боровикова Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1994 Количество страниц: 233 Добавлена в каталог: 20.11.2008 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Airy function      42 87 96 100 146 154 155 Airy function, definition and main properties      161 Angular part of diffraction coefficient      131 Asymptotic contribution in one-fold integral of branch point of non-exponential factor      17 Asymptotic contribution in one-fold integral of integration domain boundary      8 Asymptotic contribution in one-fold integral of phase function stationary point      9 Asymptotic contribution in one-fold integral of pole of non-exponential factor      23 Asymptotic contribution in two-fold integral of corner point of boundary      84 Asymptotic contribution in two-fold integral of critical point on smooth boundary segment      83 Asymptotic contribution in two-fold integral of stationary point of phase function      81 Asymptotic expansion (definition)      5 Asymptotic matching method      34 Asymptotic of integrals of functions with large parameter in argument      24 Asymptotic sequence      4 Bessel, equation      118 Bessel, functions      120 Chebyshev’s polynomials      184 Clenshaw’s algorithm      185 Critical points definition in one-fold integral      7 Critical points definition in two-fold integral      79 Curvature radius of reflected wavefront      127 Cutting function      16 Cylindrical wave reflection from plane interface      135 Cylindrical wave reflection from plane interface, asymptotic of reflected wave      140 Cylindrical wave reflection from plane interface, asymptotic of refracted wave      138 Cylindrical wave reflection from plane interface, head wave      140 Cylindrical wave reflection from plane interface, reflection and refraction of plane waves      137 Diffraction by aperture, edge and spherical diffraction waves      151 Diffraction by aperture, uniform asymptotic      153 Diffraction by slit in physical optics, approximation      132 Diffraction by two wedges      155 Diffraction by wedge, asymptotic of exact solution      130 Diffraction by wedge, edge wave      130 Diffraction by wedge, integral expression for exact solution      128 Diffraction by wedge, physical optics approximation      132 Dirichlet and Neiman boundary conditions      123 125 Field near light-shadow boundary      131 Fresnel (near) and Fraunhofer (far) zones      148 Fresnel integral      30 37 76 89 93 97 131 134 154 Fresnel integral, definition and main properties      159 Fresnel integral, tables      186 Green function, for three-dimensional case      149 Green function, for two-dimensional case      120 Helmholtz equation      118 High-frequency asymptotic of scattered field in Kirchhoff approximation      125 Incomplete gamma-function      53 154 155 Incomplete gamma-function, definition and main properties      165 Influence domain for non-degenerate stationary point      116 Integral sine and cosine      75 178 Integral sine and cosine, definition and main properties      166 Integral sine and cosine, tables      197 Keller diffraction coefficient      131 Kirchhoff approximation      124 Local asymptotic      45 Parabolic cylinder function      49 143 Parabolic cylinder function, definition and main properties      161 Parabolic cylinder function, tables      188 Partition of unity      15 Physical optics approximation      124 Reflection from concave surface      143 Reflection from concave surface, non-uniform asymptotic      145 Reflection from concave surface, uniform asymptotic      146 Sommerfeld, integral      128 Sommerfeld, radiation condition      123 Symbols , O, o      3 4 Uniform asymptotic for merging critical points in one-fold integral, close stationary points of phase function      41 Uniform asymptotic for merging critical points in one-fold integral, pole near branch point      53 Uniform asymptotic for merging critical points in one-fold integral, stationary point near branch point      48 Uniform asymptotic for merging critical points in one-fold integral, stationary point near integration domain boundary      30 Uniform asymptotic for merging critical points in one-fold integral, stationary point near pole      36 Uniform asymptotic for merging critical points in one-fold integral, stationary point tending to infinity      58 Uniform asymptotic for merging critical points in two-fold integrals, close stationary points      86 Uniform asymptotic for merging critical points in two-fold integrals, critical point of boundary near corner point      88 Uniform asymptotic for merging critical points in two-fold integrals, extremal stationary point near corner point of boundary      105 Uniform asymptotic for merging critical points in two-fold integrals, stationary point near smooth boundary      91 99 Uniform asymptotic for merging critical points in two-fold integrals, stationary saddle point near corner point of boundary      96 Uniform asymptotic for merging critical points in two-fold integrals, two close critical points on smooth part of boundary      96 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте