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 Highly Accurate Compact Finite Difference Method and its Applications. A high order numerical method for solving partial differential equations and its applications in Financial Mathematics and Computational Biology
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Highly Accurate Compact Finite Difference Method and its Applications. A high order numerical method for solving partial differential equations and its applications in Financial Mathematics and Computational Biology

автор Jichao Z. издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 172        мягкая обложка       
Аннотация:Furthermore, we apply the method to solve the famous American option pricing problem and simulate the action potential propagation through two dimensional cardiac tissues. All simulation results demonstrate the compact finite difference method is a promising approach. The new Maple routine FINDIF allows for automatic, symbolic discretization of various finite difference formulae, integration formulae, and computes formulae for truncation errors. Compact finite difference methods are also used to solve efficiently integro-differential equations (IDE’s). This book talks about the symbolic generation of finite difference schemes, especially so-called compact finite difference schemes, and their numerical applications to elliptic equations, integro-differential equations, the American option pricing problem, and cardiac tissue models. We then extend this methodology to any dimension. Compact finite difference schemes are given for boundary value problems and elliptic partial differential equations. We take as a base Corless and Rokicki’s 1995 work on automatic generation of finite difference formulae and numerical integration formulae of univariate and bivariate problems.
Автор: Jichao Z.
Издательство: Книга по Требованию
Год:2009
Цена:
2783 руб
Нет в наличии
Поиск: Highly Accurate Compact Finite Difference Method and its Applications. A high order numerical method for solving partial differential equations and its applications in Financial Mathematics and Computational Biology
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
Ортомолекулярная медицина Orthomol Устрание причин заболеваний. Ортомоль это новый метод для лечения и профилактики болезней. Orthomol - ортомолекулярная медицина.
Работа с двумерными числовыми массивами

Процедура Ge MaxVals, которая, перебирая все строки матрицы, находит в каждой максимальный элемент, записывает его значение в массив maxVal, а его номер столбца в массив maxValCol. Предварительно процедура выделяет необходимую намять для этих массивов. Листинг: 1 { формирует массив максимальных элементов maxVal и массив номеров столбцов, содержащих максимальные элементы maxValCol на основе матрицы arr } procedure Ge MaxVals(var maxVal, maxValCol: Vec or; co s arr: Ma rix); var Row , Col , maxI Row: i eger; begi //выделим необходимый для каждого массива объём памяти Se Le g h(maxVal, high(arr) 1); Se Le g h(maxValCol, high(arr) 1); for Row := low(arr) o high(arr) do begi //для каждой строки maxVal:= low(i eger);//по умолчанию максимальное значение -2147483648 maxValCol:= -1;//по умолчанию номер столбца с макс элементом -1 for Col := low(arr) do begi //для каждого столбца if arr he begi //если элемент больше макс значения, то maxVal;//максимальное значение приравняем элементу maxValCol:= Col ;//номер столбца приравняем текущему столбцу e d; e d; e d; e d; Суммы элементов между диагоналями Далее идут функции, осуществляющие подсчёт сумм элементов выше и ниже пересечения диагоналей, а так же смену местами этих элементов.
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