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\u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0628\u0634\u0643\u0644 \u0645\u062a\u0643\u0631\u0631 \u0644\u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u062a\u0642\u062f\u064a\u0631\u0627\u062a \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0648\u062a\u062d\u0633\u064a\u0646 \u062f\u0642\u0629 \u0627\u0644\u062d\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0648\u0627\u0644\u062e\u0637\u0623<\/strong>: \u062a\u0642\u064a\u064a\u0645 \u062a\u0642\u0627\u0631\u0628 \u0627\u0644\u062d\u0644 \u0627\u0644\u0639\u062f\u062f\u064a \u0648\u062a\u0642\u062f\u064a\u0631 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0639\u0645\u0644\u064a\u062a\u064a \u0627\u0644\u062a\u0642\u0631\u064a\u0628 \u0648\u0627\u0644\u062a\u0645\u064a\u064a\u0632.<\/p>\n<\/li>\n<\/ol>\n<h2>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0633\u0645\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629<\/h2>\n<p>\u062a\u0648\u0641\u0631 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u062c\u0639\u0644\u0647\u0627 \u0644\u0627 \u063a\u0646\u0649 \u0639\u0646\u0647\u0627 \u0641\u064a \u0627\u0644\u0639\u0644\u0648\u0645 \u0648\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/p>\n<ol>\n<li>\n<p><strong>\u0628\u0631\u0627\u0639\u0647<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u0633\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u0634\u0627\u0643\u0644\u060c \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0627\u0644\u0628\u0633\u064a\u0637\u0629 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0643\u0641\u0627\u0621\u0629<\/strong>: \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0642\u062f \u0644\u0627 \u062a\u0648\u0641\u0631 \u062d\u0644\u0648\u0644\u0627\u064b \u062f\u0642\u064a\u0642\u0629\u060c \u0625\u0644\u0627 \u0623\u0646\u0647\u0627 \u062a\u0648\u0641\u0631 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a 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\u0627\u0644\u0623\u062e\u0637\u0627\u0621<\/strong>: \u062a\u0633\u0645\u062d \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0648\u0627\u0644\u062a\u062d\u0643\u0645 \u0641\u064a\u0647\u0627\u060c \u0645\u0645\u0627 \u064a\u062a\u064a\u062d \u0644\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u062a\u0648\u0627\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u062f\u0642\u0629 \u0648\u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0627\u0644\u0639\u062f\u062f\u064a<\/strong>: \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u062c\u064a\u062f\u0629 \u0627\u0644\u062a\u0635\u0645\u064a\u0645 \u062a\u0643\u0648\u0646 \u0645\u0633\u062a\u0642\u0631\u0629 \u0648\u0644\u0627 \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u063a\u064a\u0631 \u0645\u0646\u062a\u0638\u0645\u0629 \u0623\u0648 \u0645\u062a\u0628\u0627\u064a\u0646\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629<\/h2>\n<p>\u062a\u0634\u0645\u0644 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u062a\u0642\u0646\u064a\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0643\u0644 \u0645\u0646\u0647\u0627 \u064a\u0646\u0627\u0633\u0628 \u0623\u0646\u0648\u0627\u0639\u064b\u0627 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a. \u062a\u062a\u0636\u0645\u0646 \u0628\u0639\u0636 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0637\u0631\u064a\u0642\u0629<\/th>\n<th>\u0637\u0644\u0628<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0646\u064a\u0648\u062a\u0646 \u0631\u0627\u0641\u0633\u0648\u0646<\/td>\n<td>\u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0646\u0635\u064a\u0641<\/td>\n<td>\u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u062c\u0630\u0631 \u0641\u064a \u0641\u062a\u0631\u0627\u062a \u0645\u062d\u062f\u0648\u062f\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0637\u0631\u064a\u0642\u0629 \u0623\u0648\u064a\u0644\u0631<\/td>\n<td>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0627\u0644\u0639\u0627\u062f\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0637\u0631\u0642 \u0631\u0648\u0646\u062c \u0643\u0648\u062a\u0627<\/td>\n<td>ODEs \u0630\u0627\u062a \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0639\u0627\u0644\u064a<\/td>\n<\/tr>\n<tr>\n<td>\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0645\u062d\u062f\u0648\u062f\u0629<\/td>\n<td>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0627\u0644\u062c\u0632\u0626\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0645\u062d\u062f\u0648\u062f\u0629<\/td>\n<td>\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0647\u064a\u0643\u0644\u064a\u060c \u0646\u0642\u0644 \u0627\u0644\u062d\u0631\u0627\u0631\u0629\u060c \u0627\u0644\u062e.<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u062d\u0627\u0643\u0627\u0629 \u0645\u0648\u0646\u062a \u0643\u0627\u0631\u0644\u0648<\/td>\n<td>\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0642\u0636\u0627\u0621 \u0627\u0644\u063a\u0648\u0633\u064a<\/td>\n<td>\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0635\u0644\u0628<\/td>\n<td>\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u062a\u062d\u0633\u064a\u0646<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0648\u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0648\u062d\u0644\u0648\u0644\u0647\u0627<\/h2>\n<p>\u062a\u062c\u062f \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0648\u0627\u0633\u0639\u0629 \u0627\u0644\u0646\u0637\u0627\u0642 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643:<\/p>\n<ol>\n<li>\n<p><strong>\u0647\u0646\u062f\u0633\u0629<\/strong>: \u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0647\u064a\u0643\u0644\u064a\u060c \u0648\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0627\u0644\u0645\u0648\u0627\u0626\u0639\u060c \u0648\u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u062d\u0631\u0627\u0631\u0629\u060c \u0648\u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0643\u0647\u0631\u0648\u0645\u063a\u0646\u0627\u0637\u064a\u0633\u064a\u0629\u060c \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062f\u0648\u0627\u0626\u0631.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621<\/strong>: \u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u062c\u0633\u064a\u0645\u0627\u062a\u060c \u0648\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0643\u0645\u060c \u0648\u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0641\u0644\u0643\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0645\u0648\u064a\u0644<\/strong>: \u062a\u0633\u0639\u064a\u0631 \u0627\u0644\u062e\u064a\u0627\u0631\u0627\u062a\u060c \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u062e\u0627\u0637\u0631\u060c \u0648\u0627\u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0645\u0627\u0644\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0631\u0633\u0648\u0645\u0627\u062a \u0627\u0644\u062d\u0627\u0633\u0648\u0628<\/strong>: \u0627\u0644\u062a\u0642\u062f\u064a\u0645\u060c \u0648\u062a\u062a\u0628\u0639 \u0627\u0644\u0623\u0634\u0639\u0629\u060c \u0648\u0627\u0644\u0631\u0633\u0648\u0645 \u0627\u0644\u0645\u062a\u062d\u0631\u0643\u0629.<\/p>\n<\/li>\n<\/ol>\n<p>\u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u064a\u0623\u062a\u064a \u0645\u0639 \u062a\u062d\u062f\u064a\u0627\u062a\u0647:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u062f\u0642\u0629 \u0645\u0642\u0627\u0628\u0644 \u0627\u0644\u0643\u0641\u0627\u0621\u0629<\/strong>: \u064a\u0639\u062f \u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u062a\u0648\u0627\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u062f\u0642\u0629 \u0648\u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u0623\u0645\u0631\u064b\u0627 \u0636\u0631\u0648\u0631\u064a\u064b\u0627 \u0641\u064a \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0627\u0644\u0639\u062f\u062f\u064a<\/strong>: \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0624\u062f\u064a \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u0633\u062a\u0642\u0631\u0629 \u0625\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u063a\u064a\u0631 \u062f\u0642\u064a\u0642\u0629 \u0623\u0648 \u062a\u0628\u0627\u0639\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0642\u0636\u0627\u064a\u0627 \u0627\u0644\u062a\u0642\u0627\u0631\u0628<\/strong>: \u0642\u062f \u062a\u0648\u0627\u062c\u0647 \u0628\u0639\u0636 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0635\u0639\u0648\u0628\u0629 \u0641\u064a \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0623\u0648 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0628\u0628\u0637\u0621 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u062a\u0643\u0648\u064a\u0646\u0627\u062a \u0645\u0634\u0643\u0644\u0629 \u0645\u0639\u064a\u0646\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0634\u0631\u0648\u0637 \u0627\u0644\u062d\u062f\u0648\u062f<\/strong>: \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0627\u0644\u0633\u0644\u064a\u0645 \u0645\u0639 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u062d\u062f\u0648\u062f\u064a\u0629 \u0623\u0645\u0631 \u0628\u0627\u0644\u063a \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0644\u0644\u062a\u0648\u0635\u0644 \u0625\u0644\u0649 \u062d\u0644\u0648\u0644 \u062f\u0642\u064a\u0642\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0627\u062a \u0645\u0639 \u0627\u0644\u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0627\u0644\u0645\u0645\u0627\u062b\u0644\u0629<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0634\u0631\u0637<\/th>\n<th>\u0648\u0635\u0641<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629<\/td>\n<td>\u062d\u0644\u0648\u0644 \u0631\u064a\u0627\u0636\u064a\u0629 \u062f\u0642\u064a\u0642\u0629 \u0644\u0645\u0634\u0627\u0643\u0644 \u0645\u062d\u062f\u062f\u0629 \u062c\u064a\u062f\u0627.<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629<\/td>\n<td>\u0627\u0644\u062d\u0644\u0648\u0644 \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u064a\u0629.<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629<\/td>\n<td>\u0645\u0635\u0637\u0644\u062d \u0648\u0627\u0633\u0639 \u064a\u0634\u0645\u0644 \u062c\u0645\u064a\u0639 \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628.<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629<\/td>\n<td>\u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 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\u0627\u0644\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0648\u0627\u0644\u062a\u0639\u0644\u0645 \u0627\u0644\u0622\u0644\u064a \u0644\u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u062f\u0642\u0629 \u0648\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062a\u0646\u0628\u0624\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0627\u062d\u0635\u0627\u0621 \u0627\u0644\u0643\u0645\u064a\u0629<\/strong>: \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0625\u0645\u0643\u0627\u0646\u0627\u062a \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064a\u0629 \u0641\u064a \u062a\u0633\u0631\u064a\u0639 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0641\u0626\u0627\u062a \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0627\u0644\u0645\u0634\u0627\u0643\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0637\u0644\u0628 \u0627\u0644\u0645\u0646\u062e\u0641\u0636<\/strong>: \u062a\u0637\u0648\u064a\u0631 \u062a\u0642\u0646\u064a\u0627\u062a \u0641\u0639\u0627\u0644\u0629 \u0644\u062a\u0642\u0631\u064a\u0628 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0645\u0639 \u0627\u0646\u062e\u0641\u0627\u0636 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0623\u0648 \u0631\u0628\u0637\u0647\u0627 \u0628\u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0639\u062f\u062f\u064a\u0629<\/h2>\n<p>\u062a\u0644\u0639\u0628 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062f\u0648\u0631\u064b\u0627 \u0645\u0647\u0645\u064b\u0627 \u0641\u064a \u0633\u064a\u0627\u0642 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0639\u062f\u062f\u064a\u0629\u060c \u062e\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u0633\u064a\u0646\u0627\u0631\u064a\u0648\u0647\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0641\u064a\u0647\u0627 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u0645\u062d\u062f\u0648\u062f\u0629 \u0623\u0648 \u062a\u062a\u0637\u0644\u0628 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062a\u062e\u0635\u0635\u0629 \u062d\u0648\u0633\u0628\u0629 \u0645\u0648\u0632\u0639\u0629. \u0628\u0639\u0636 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644\u0647\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0623\u0648 \u0631\u0628\u0637\u0647\u0627 \u0628\u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0647\u064a:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0645\u0648\u0632\u0639\u0629<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0633\u0647\u064a\u0644 \u0627\u0644\u062a\u0646\u0641\u064a\u0630 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a \u0644\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0639\u0628\u0631 \u0639\u0642\u062f \u0645\u062a\u0639\u062f\u062f\u0629\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0645\u0648\u0627\u0631\u062f<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u064b\u0627\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0645\u0647\u0627\u0645 \u0627\u0644\u0631\u0642\u0645\u064a\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0639\u062f\u0645 \u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0647\u0648\u064a\u062a\u0647 \u0648\u0627\u0644\u0623\u0645\u0646<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0623\u0645\u0627\u0646 \u0648\u0625\u062e\u0641\u0627\u0621 \u0627\u0644\u0647\u0648\u064a\u0629 \u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062d\u0645\u0644<\/strong>: \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u062d\u0645\u0644 \u0627\u0644\u062d\u0633\u0627\u0628\u064a \u0628\u064a\u0646 \u062e\u0648\u0627\u062f\u0645 \u0645\u062a\u0639\u062f\u062f\u0629\u060c \u0645\u0645\u0627 \u064a\u0645\u0646\u0639 \u0627\u0644\u062a\u062d\u0645\u064a\u0644 \u0627\u0644\u0632\u0627\u0626\u062f \u0639\u0644\u0649 \u0639\u0642\u062f \u0645\u0639\u064a\u0646\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0631\u0648\u0627\u0628\u0637 \u0630\u0627\u062a \u0639\u0644\u0627\u0642\u0629<\/h2>\n<p>\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li><a href=\"http:\/\/numerical.recipes\" target=\"_new\" rel=\"noopener nofollow\">\u0648\u0635\u0641\u0627\u062a \u0631\u0642\u0645\u064a\u0629<\/a><\/li>\n<li><a href=\"http:\/\/mathworld.wolfram.com\/NumericalMethods.html\" target=\"_new\" rel=\"noopener nofollow\">\u0648\u0644\u0641\u0631\u0627\u0645 \u0645\u0627\u062b \u0648\u0648\u0631\u0644\u062f<\/a><\/li>\n<li><a href=\"https:\/\/ocw.mit.edu\/courses\/mathematics\/18-336-numerical-methods-for-partial-differential-equations-spring-2009\/\" target=\"_new\" rel=\"noopener nofollow\">\u0645\u0639\u0647\u062f \u0645\u0627\u0633\u0627\u062a\u0634\u0648\u0633\u062a\u0633 \u0644\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627 OpenCourseWare \u2013 \u0627\u0644\u0637\u0631\u0642 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0644\u0623\u062c\u0647\u0632\u0629 PDE<\/a><\/li>\n<\/ol>\n<p>\u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0623\u062d\u062f\u062b\u062a \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u062b\u0648\u0631\u0629 \u0641\u064a \u0627\u0644\u0639\u0644\u0648\u0645 \u0648\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629\u060c \u0645\u0645\u0627 \u0645\u0643\u0646\u0646\u0627 \u0645\u0646 \u0645\u0639\u0627\u0644\u062c\u0629 \u0627\u0644\u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0645\u0639\u0642\u062f\u0629 \u0627\u0644\u062a\u064a \u0642\u062f \u062a\u0643\u0648\u0646 \u0645\u0633\u062a\u0639\u0635\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062d\u0644. \u0645\u0646 \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0625\u0644\u0649 \u062a\u062d\u0633\u064a\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629\u060c \u062a\u0633\u062a\u0645\u0631 \u0627\u0644\u0623\u0633\u0627\u0644\u064a\u0628 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 \u0641\u064a \u062f\u0641\u0639 \u0627\u0644\u0627\u0628\u062a\u0643\u0627\u0631 \u0639\u0628\u0631 \u0645\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a\u060c \u0645\u0639 \u0622\u0641\u0627\u0642 \u0645\u062b\u064a\u0631\u0629 \u0644\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062a\u0642\u062f\u0645 \u0641\u064a \u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u062d\u0648\u0633\u0628\u0629.<\/p>","protected":false},"featured_media":469035,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-478239","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Numerical Method: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What are numerical methods, and how do they work?","answer":"<p>Numerical methods are mathematical techniques used to approximate solutions for complex problems that lack exact analytical solutions. They involve converting continuous mathematical models into discrete form, applying iterative algorithms to refine approximations, and evaluating convergence and errors to ensure accuracy.<\/p>"},{"question":"How did numerical methods originate, and when were they first mentioned?","answer":"<p>Numerical methods have ancient roots, with early civilizations like the Babylonians and Greeks using numerical approximations for celestial calculations. The formal development of numerical methods took shape with the emergence of digital computers in the mid-20th century, thanks to pioneers like John von Neumann and Alan Turing.<\/p>"},{"question":"What are the key features and advantages of numerical methods?","answer":"<p>Numerical methods offer versatility, efficiency, and flexibility in handling a wide range of complex real-world problems. They allow error control and numerical stability, ensuring accurate and stable results for various applications in science, engineering, finance, and more.<\/p>"},{"question":"What types of numerical methods exist, and where are they applied?","answer":"<p>Numerical methods encompass diverse techniques, including Newton-Raphson for root finding, finite element methods for structural analysis, and Monte Carlo simulation for probabilistic analysis. These methods find applications in engineering, physics, finance, computer graphics, and more.<\/p>"},{"question":"What challenges and problems are associated with numerical methods?","answer":"<p>While powerful, numerical methods come with challenges, such as striking a balance between accuracy and computational efficiency, ensuring numerical stability, handling convergence issues, and addressing boundary conditions effectively.<\/p>"},{"question":"What does the future hold for numerical methods?","answer":"<p>The future of numerical methods is promising, driven by advances in high-performance computing, machine learning integration, quantum computing, and reduced-order modeling. These developments will enable tackling even more complex problems efficiently.<\/p>"},{"question":"How are proxy servers associated with numerical methods?","answer":"<p>Proxy servers play a crucial role in numerical methods, facilitating distributed computing, resource management, enhanced security, anonymity, and load balancing for efficient execution of numerical algorithms.<\/p>"},{"question":"Where can I find more information about numerical methods?","answer":"<p>For more in-depth insights into numerical methods, you can explore resources such as Numerical Recipes, Wolfram MathWorld, and MIT OpenCourseWare's Numerical Methods for PDEs course.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/478239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/478239\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media\/469035"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=478239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}