Wang D. (ed.), Zheng Z. (ed.) — Differential Equations with Symbolic Computations :: 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

Wang D. (ed.), Zheng Z. (ed.) — Differential Equations with Symbolic Computations

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Differential Equations with Symbolic Computations

Авторы: Wang D. (ed.), Zheng Z. (ed.)

Аннотация:

This book presents the state of the art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions. The 20 chapters are written by leading experts and are structured into three parts.

The book is worth reading for researchers and students working on this interdisciplinary subject but may also serve as a valuable reference for everyone interested in differential equations, symbolic computation, and their interaction.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 374

Добавлена в каталог: 29.11.2009

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

Предметный указатель

Non-algebraic object      85 93
Non-multiplicativity      346 347
Non-multiplier      354
Non-standard analysis      85 86
Nondegenerate critical point      4
Nonlinear center      5
Nonlinear evolution equation      307 308 310 313
Normal form      356
Normal form method      176
Normal form of the Henon — Heiles system      186
NORT package      179
NSA      85 86
p-curvature      213
Painleve      320 321
Painleve theorem      204
Partial constant field      218
Partial differential equations      213 291
Partial differential field      215
Partial p-curvatures      218
PDE      308 321
PDEs      308—310 321
Period constant      37 41
Pluecker relations      250
Poincare      201
Poincare closed sphere      38
Poincare problem      143 144
Poincare — Dulac normal form      144
Poincare — Lindstedt approach      174
Poincare, Henri      144
Pol      356
Polynomial conservation law      316 318
Polynomial conservation laws      308—310 316 317 319—321
Polynomial ideal      159 351
Polynomial system      143
PolynomialSeries package      179
Pommaret      202
Pommaret Devil problem      343
Power System      121
Power systems      121
Procedure scheme      161 164
PRODUCT      353 358
Qualitative property      109
Rank      259 280 309—312
Rank, multi-uniform      260 276
Rank, uniform      259 262 280
Rational general solution      201 203 208
Rational parametrization      201 207 208
Reduce      25 179 308
Reduced      95 356
Reduced characteristic vector      76
Reducer      96
Reducible partial differential system      216
Relative to      358
Representative main      281
Resonant normal form      173
Rest      357
Resultant      327
Resultant, map      4
Return map      23
Riccati equation      201 202 204 205 207—209
Ring of linear differential operators      239 240
Ring of partial differential operators      215
Risch      202

Rolle’s Theorem      111
Rotation group      75
Saddle-node bifurcation      123
Sanders      308
Scaling invariant      259 280
Scaling property      308
Scaling symmetry      259 280 307 309 310 321
Schlesinger      239
Schwarz      202
Second part of Hilbert’s sixteenth problem      2
Shallow-water wave (SWW) equations      259 260 262 276
Sibirsky ideal      73
Simultaneous decomposition of $[A_{1},...,A_{m}]$       228
Simultaneous reduction of commuting matrices      213
Sine-Gordon (sG) equation      258 260 262 274
Singer      60 202
singular      32
Singular perturbation      121
Singular point value      37 41
Singularity induced bifurcation      124
SK equation      316 317 319
Slow system      122
Small-amplitude      1
Small-amplitude limit cycle      4
Solitary wave      320
Solitary waves      307
Soliton      307 308 318 321
Solution      244
Stability      121
Standard Lisp      179
Submodule      240
Symbolic computation      85 109 307
Syzygy      299
Tensor product      241
Theoretic closure      164
Time-reversibility      67
Time-reversible system      69
Toda lattice      280 281 285
Total derivative      308
Total multiple set      354
Transversal      4
Tuple      353
Unary invariant      76
Uniformity in rank      310
Up-shift operator      281
Van der Pol’s equation      183
Variational derivative      264—266 313 315
Variational derivative, discrete      283
Variety      71
Visualization of searching periodic solutions      192
Vorobev      61
Walcher, Sebastian      144
Weight      259 280 309—311
Well limit behavior      159
Well-behaved basis      351 352 360
Well-ordering principle      344
Wellarranged basis      358
Wkptes      320
Wkptest      319—321
Wolf      308
Wu      202
Zero set      344
Zero-Decomposition Theorem      343 345
Zoladek      25 30 32

1 2

О проекте