Пусть
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
. Тогда сеть узлов будет иметь следующие координаты:
![](data:image/png;base64,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)
и
![](data:image/png;base64,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)
Для сокращения введём обозначение
![](data:image/png;base64,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)
Применяя формулу (15) к каждому из прямоугольников крупной сети, будем иметь (рис.6):
![](data:image/png;base64,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)
Отсюда, делая приведение подобных членов, окончательно находим:
![](data:image/png;base64,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)
(16)
где коэффициенты
![](data:image/png;base64,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)
являются соответствующими элементами матрицы
![](data:image/png;base64,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)
Если область интегрирования
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAPCAYAAADtc08vAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAC6SURBVDjLY2hsbGSgBDPQzAAgYMSFCRpQneViJMvA8Bqo+B8U/0ewZV975NUb4jQgx022mIHB+E5sfb0kiN/RkcbjZuxWm9bRwUPQCw3Rxj5AzXdhmpENlXXLKcZrAMgmDxmGPdgUgl1lHLUQrwH1eR6GsgyyN5H9R8hgLAYwvDGObvBBVlAfaewLDLg36Abj9AKDjMeetPJyXlB0QcKE4R+6oTgDsb4+VtKYgeEOIsoQsUH/lDh0DAAAuZRQ58IzZUMAAAAASUVORK5CYII=)
– произвольная, то строим параллелепипед
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAATCAYAAAAAn1R6AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFxSURBVEjH7VZBbsIwENze4QEg/AjYL6AoB/qAJso1B4S4cPABVSa3XPqH8o7yESR4AbwhYCcxcd3YckkvrhJpLol3d3Y9OwpkWQa+wlvi/5c8f15UeEM+QthzwrcaRQmM9t5MvmoAzwljo12MC9EIxruFP+TraTOWjBDgTILVxlVmXWTnmqc1WJKVk2brcEoAribytcwKIybhIaV06EJ8u5zPeK2LEt9IF8glXLOplXwlEy4ZSseUpsNwAgcg4Vea54NnrveRj0vQdm4VkA0/d5Ln8jwdBBi8m+pakjw6vv3FsoqcNtmZGrTF/XghuhWTFgGuE3NBKT2MPtq+qTVbB2kYXnsRIEehLV37nciLXBgzY2N1TdemWsmXnYoFq3Wmuk4XiFs0kZCGoA+JveGrvqRG8pQmY90SK+mQ63y5nT1rb2UOy8LLCUtXEjEVcShst64vaWNvGH8qtnlS3/3aKh2c6ludEo3r9H+VPfmefIU71y3vqA2TVfsAAAAASUVORK5CYII=)
, стороны которого параллельны осям координат (рис. 83). Рассмотрим вспомогательную функцию
![](data:image/png;base64,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)
В таком случае, очевидно, имеем:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaEAAAAxCAYAAABzuRY1AAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAtrSURBVHja7V09jxQ3GJ6kTtKGIGargFLQcLOUJCnQ3FxC0hFlGJ2iCHRSyGkKQNoCwR4dBfyAUEEVKNJQJBJQpCVN2kQ5/kDupPwCIGvPvl6P155Pe9e3+xSP4HZ3PK897+P3w689wZ07dwIAAAAAWAaqvwyCdxiWLqQncgDAKugw+AQcCSO0l0UXJor6NgjCwyQfn1mWgL7IAQCroMOyLOev3tzA8wG8NELj8fZHURC8mijrG4Yo27uwDOF8kQMAeurwvg867JMsAFBphJi3FMa7133wIH2QAwBWQYcXIcvduzvvbQ6iB9uj0XE8f6CzEdqNw+s+EMcXOQBgFXTYtSzjPDkThsmTzWjwIAyDvxFpAZ2N0KUoeOQDcXyRAwBWQYddy8KNUBAcsPWmwSD4C0YI6GWEgujSIx9I40IOU3UQKob6jYdvVVc+yOMLl1zJoo4xS8clg+FP2+PxR+CXXY75WNVoQyazsp5IXuzcvfve0kljWY7RaPs4Lc7KXiH7fCPYeK4jzzqCLWLz8WiY259WXb3xQW98kscXLrmQRS50mHDpRv1vo2fgl2ZMGnBsbzv6UujzaPS+D/JPZXrdV6a1MkLFxBr+wcpk+SQVJs9Z28WEFe2DIPPplUEw+KtpKa9va3g+yLOqRqiYQMOXKpfMDsGEXyhW6MWxPAmvMX32KRqyIdPcBzycPhG8WDZxXMihy4kLjx8GyEiSMNj4o258+PMKwye+7OXyQR5fuORClqbrS4iAmnIselllpNnz2wrDxz7t7bIlk1lZg+jVMhXHphzMSo/T6CvelvKgdWTS5Tnb5D77Xu8SXWRjEYVpLYGu5ZPNYPMBm+CW2X+f5PGFSzZlYWM2jWxeNYlsTMYKHJuPKBjHTNcxfR4Okp9Y2mvZfbct08obocIjDp4Xu8QZZmk3OT1XTh2wzXyz3e3is4qUg63rXaKrbLpoiCkXT+9M89S76dmUkUi+B3lIi1ifcS0PEUqHdTFCVVwyRUEqv1Q9ZM9kZtiarXmI9ZGO1zvlGK2TzMtWuXaiRkPsuiwKHpb1OXso2mrZvi2OpfUyRWWZNmtlWotIiDwy1ZsXHp2mffL+q6KAKvS93iXaykYnV1DJrTjJYnrttDT3UC7JLd8je+g0naGX58CWPGIyMMEwhqsYCZm4ZHZ6zBETef/0TNp68n2vd4m2slGRR5SOvxLFU9PISOjz5Ltl9X0q3z9BlMoy/ctkont3lWktjJA6iZYmJkP7NLF2Xdjue71ThWopG40f+714LtIkJHbJS+O4qP77Js+qGyExWTbYAyT4ZTBCNLn25NiBxxw7aLpoT+Maxtu3SZ/pOlH2Lo2j1P6NhaSVWQQ8NUC2ZVoPI2RYXK8yQnR/mWxt8q6669u24XpsdbLVGSFd9Mg/Uzxj9R6u+t1Vnro+Ix3XjktdjBBNbuTht9UR9XrvOGaQrdIIDU//oo5Zoc/lyELXvmOO7beRiT5f6pqQaTNo002iNgnMyaDJ/1el4/I4ujIcho9pMmsrj3q9rGjqHiUX49dWNuqfTi45klRTMbpUnHqPurHr09cu8qikqXsWy07H2dAFW7KYuNQpHVc8k5/Z+I1GO+8X603NCh7U66nf6t6lKm4sgGM/z0U0U31T2yO5P/44+LPUHykVJ1+TJ2cvy+3P1uv049enr1z/e8hUFw06UVZd6sNUIlp4S/NH3FstTKiYXNWFU1pUY7+ns7DYwhpTqvN5fk5O85gqQkzXnzsX32LXqmXhajs2xq+tbOz6cZp8yv6dI4jk/dKkL/LC4fC3YTh8nOXJF0k6/tR0j93k9A+fHBs+VZ9l375q5Pm1iTx1ffYl+ugyPrqSWWuFCQYumb378KUqT62OSIvzpkmyCcdoI6iuHV3qSEzkygI/X+sIwgO5H7WyJfm1Qratxxd3dj5oxrHo5efD4OlUn9+V9Tndjb8s6bOmfTY/qSkyG30tjFDaXqaJUYq/jn+kAgrT2JmJ06OSiSpVVGUtqpfKFTUFceaPlbe1r6F4AOHfpv0icgkpyVKKfopqoDe0HkJGaHZO1ozUddeX7xve50qpacc0foVHXj9+XWXLomi8vR1dYUooj5dcwDBru6ioy8fpSe55Tv6fJeHYfI/vbqnrNHb7WlTsNJenus9WjZADLunGp5hA9K9oKE06HWWhjZVtxonJKXvCJOO8B1/WkZIOS5Nq9fXqGIX34u/i73XtUBWb6qWLcdXck1JftCjfVrai4i26TfomT/S0mD9ru9DnqzcvnuIFAZP/y/pM7W+FwTNqn0eTGiMk9bUUGabmvr6W03xlmTYlmTZJpte0XqTIdEPi17+sv+L7cPM5Gb/ANDGvyokJdRVgpjJS06SiRkLk2bSVK0uSy9SvPu1UpRratMkJk2SXsyzbkj+3dZyRrlhg2TD1eZE63HR9yQc+daksNEVDrvklc8wHflXpW5vje2rb1xghH/jVKh2nKqu86W/RE0tX0pDhuXn1/Aavva+Rr6mHV4qEKPfcofyaebdKufO+zTLuLm3qKo3aVEIdRSO0iOoqVYfFBr/J38Jz5vjwPzkV5QLcy2/Jp7ZcquJXnSEy8auLcSaOzUqLu7VTwa/WbVJEIUck1JZawLAKRkjX38ZGiBYf8738WN3EIXKyDqKmNouguhRGm/PgmhwvYmMi5Sc3WCSELVBOOY7iW8L5sHjcio8vOyv12dEmP1mHVf2Rjxbivzu98bsrLnXlUxcu9eZXTx2h6kivOTbRN1sRkK9GiK0JNeFXpfejvonRlDpgv3fx7hDfNnqKHfkdTz4Q6zIevl6Z524nEwRVwjjxwj06ZXva59su+6zqsMon7sBFl+7TaQ/sO1dc8pFPlTrS0SkoR5fecaykb7aNpI3xs97fiUFMZ4UN79QaIfoRkYUqOkopnuLhlo+/mZApivMrtoRX5fCVNADQRodlPpWjjOAt/cY2l8AnwHuulMPl4ugTWnCjCi45jUCLTaVQe+rR2RBIJwceFHCUYNJh4pMcWZ/N8m/l075tcqnkPBayfAY+Ad4aIbmckEJ2UdtOxQmTEI+fa6QUKtj03nRyAMBRgkmH5UhIVB2ORsfpvUe018lmJAQ+AUfGCOkgh+9iPUSzQOkyjw0AqwKxwVI5OUPsiZke/gguATBCJS+q+sVgVSXcAACU+VT1EjC5fBvjBcAINTAyPu79AACfYTI0orwWXAJghAAAAABgwUaIeWhxnH9z1DuUx/E38CaBZUc74BIAdIiE+IZFj3a0twWv3IuyMR4ssGwcdS7xNHyU3cazBBZqhOQznqpe4tUFcze23L54Rzs8N8CHSRxcAoD2Rkh4QLOTESyhfEx+6fh9W+h4lA4AOI0mHHBJrq5zwiWPjlYC1tAIuYB47Wu2d4EfVQKDAQDgEgDcWXB1nPoqZgAAusHloasAsLJGCAAAAACcGCEXp/8CwLoCfAJghFqA56lPBC/onLm6Kp6mfwPAOoLWfcAnAEaog+cmqnWkBVN+cOPW1r2iUih6xUo/Zy94Cw9Z5RzbGLexwU77Lf7GwwEQCUl8kirW5vg0Gh2fvcwtPGTVc4xPURQ8o78xpsAaGaH0ZJqPT6pRkmx8ZA+Pve6a3gWfpsVrjnGKMAAjVPDp5tWLp+b4xF/NoOcTM1DgE7C2RmjisR3q9hjIr4Sgl3bJeyiIJDKhAGDdjZCIgJRXNev4xE8LUfjEoiN6TxHGFFibSEh+QZdKGvYZfU/HmlAklGXZlvw9Hg6ASKg9nygSAp+AtTNCxUvvov10nJ7hHpmyJjQhxFv5ZIPZmlDxWZ6d/Zb+RvoAWHfwfUAyn5Q1IfV0g9maUPEZ+ASsnRGqgpw+AAAAfAKAhRkhaSF1HwciAgD4BAALj4QAAAAAAEYIAAAAgBECAAAAAIb/AX7Hme+uFBbtAAAAAElFTkSuQmCC)
Последний интеграл приближённо может быть вычислен по общей кубатурной формуле (16).
2.5 Принципы построения программ с автоматическим выбором шага
При написании программ численного интегрирования желательно, чтобы для любой функции распределение узлов являлось оптимальным или близким к нему. Однако в случае резко меняющихся функций возникают некоторые проблемы. Если первоначальная сетка, на которой исследуется подынтегральная функция, частая, то сильно загружается память ЭВМ; если она редкая, то не удаётся хорошо аппроксимировать оптимальное распределение узлов на участках резкого изменения подынтегральной функции. Рассмотрим некоторые из процедур распределения узлов интегрирования, обеспечивающие лучшее приближение к оптимальному распределению узлов для функций с особенностями.
Пусть на элементарном отрезке интегрирования
![](data:image/png;base64,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)
вычисляется приближённое значение интеграла
![](data:image/png;base64,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)
и мера погрешности
![](data:image/png;base64,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)
. Требуется вычислить
![](data:image/png;base64,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)
. Первая процедура, которую естественно назвать
горизонтальной, определяется заданием параметров
![](data:image/png;base64,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)
. Полагаем
![](data:image/png;base64,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)
. Предположим, что каким-то образом уже вычислено приближённое значение интеграла
![](data:image/png;base64,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)
. Программа располагает в каждый момент времени некоторым значением
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAZCAYAAADTyxWqAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAEXSURBVEjH5ZU9bsIwFMdfdy5A5Tf2AMnzGSwLMVdqrGxVpsgLA+MjWxYOwMhWztCsXTgDN+gd0sapLEWGVjhhqYjkIR5++n/42VBVFdxqwZ3Cuu/Brckw5nxOAKcO9oWqXE1WVtfFTCMetOVkMoytThD1oajr2WRYqXA1tBiT39lGRrAns1n2dgU0Lj/3P6qAFNL3F7ZPPrdQ6dWwjaElULbPCLcOFFvGmUUp5c7bii0jsIhH1IZ/K+N6WKDCw7U1C6Xsczglf8JCFT0c4BOATjnzPNxHKd/CCKIO5Q8oPTr4pQiiYFbRq2/WNz4aZog4X68fnSoQuglbjoL1EIBWCPFxaSpGXYK9wkEpo2CDeW1vpuz/PSjfM6O0vAAlPgIAAAAASUVORK5CYII=)
, с которым надо начинать считать оставшуюся часть интеграла. Вычисляем величину
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAAZCAYAAACl8achAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAHcSURBVFjD7VcxbsIwFP3d6QFAMXcgZu2GUiNRdS4oG2KoUBaGDB0MW4b2EGztFQprh3KCVoITtGeA2k4DUbCdn0gVpQXJCzzbz++9/21gMpnAsY2jI3wi/edIi88ZBpPg8vA/TjgM/ZoL7sznvGrDUIClILt2Lq8jhQ/D2kFIj3u0A0CXNsKc+1UXyIIFvKHwhM2CoHVBgLzL70qRTmzDWLxPxq6wHF0KU+INR3vzA9Yg4C5083OsHZwzB+bSNjE2QLtTLGkTmbQY/IZeCSdWpigMPTLS7WlWSp10Z5EkAUA+TZaZLNf9HkWDCiMwU0KooY+QSW30pnE+YUN74w4yyytMNGzuSR6iQFfZPcFoi8PmgyiqFCWynZ+DNRHSYbIx01sncpwF5qlSmLSl0AqTzmYZu0HReOjcLB2PWKU4u6rCBeE61N90RWVqg6hC1LhZqhC3i7Xb98kNJZu9To14QfggzeYjIewpi7G1PJ2bpVsedrG0AnJh7eVgUdtEBnv9F86ZHIFH+7v+TR5Mh0xHKyF6d9tyCdBXRAEuTZ0FDUyPHqVc3mL4YqLPvk/78c2a/xZReAum1EPou1jXjuO8YA75a97TsnMoxZFt8OCkU2+H9VEpffqP+B9IfwF9FGErurtT/AAAAABJRU5ErkJggg==)
, соответствующую отрезку
![](data:image/png;base64,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)
. Если оказалось
![](data:image/png;base64,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)
, то вычисляем приближённое значение
![](data:image/png;base64,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)
и полагаем
![](data:image/png;base64,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)
. Мы получили приближённое значение величины
![](data:image/png;base64,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)
. В случае
![](data:image/png;base64,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)
полагаем
![](data:image/png;base64,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)
, в противном случае полагаем
![](data:image/png;base64,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)
. Мы готовы к следующему шагу. Если оказалось
![](data:image/png;base64,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)
, то принимаем
![](data:image/png;base64,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)
за новое значение величины
![](data:image/png;base64,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)
и возвращаемся к исходной позиции: вычислено значение интеграла
![](data:image/png;base64,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)
и задан шаг
![](data:image/png;base64,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)
. Начальные условия для применения процедуры:
![](data:image/png;base64,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)
Процедура должна также иметь блок окончания работы: если оказалось, что
![](data:image/png;base64,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)
, то следует положить
![](data:image/png;base64,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)
. Установилась практика брать
![](data:image/png;base64,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)
.
Другая процедура, которую можно назвать вертикальной, определяется заданием числа
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAYCAYAAAAYl8YPAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADnSURBVEjHY2hsbGSgFmYYNWwkGAYEjMiYbMPKy9N4PWQY9gAN+QfF/2XdcopJNqy+PlbSmIHhLkwzlH+HwTh6AemG5XkYyjIYn4wtL5cixYtYDQNpbog29oF7kQgXYTWsoyONBxxWBAzA5VoUTo6bbDGDjMeetI4OHlwawWqALsYWISicaGOGBWDDyst5QYYANZYwMMi+9sirN4SHp3FUL4gdZSzbCxPHahg85uBJAmEQzFXG0Q0+IDYoXNFdR1IKz3MzTkF2pbFbXgrZhlHVZbAwA4UnwTAjBoMjCRSbHnlFo+UZ5RgA+eSPe1apcMUAAAAASUVORK5CYII=)
и заключается в следующем. Пусть на каком-то шаге возникает необходимость вычисления интеграла по отрезку разбиения
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACUAAAAVCAYAAADB5CeuAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAGQSURBVEjHY2hsbGQYbHjQOQjFUUDAiIxpYhmS2fjsAhMdHWk8HjIMe4AK/gPxPwZZj91pHR081HRQQ7SxD9hsGY898W6ytWA2lI9uF6qjjKMW0jJactxki2XdcoqR+QPqKLAdsrIrPfLqDanmKHLSG7Ke+vpYSWM591nIDqDIUeXlabzQNAdOB8bRDT7EOCjKmGEhLI3mRJpGoptPtqOqs1yMZBkYXst65BXB0wWUjQuXl8dKGTMw3GUwjl4A4tfneRgCzXiD7hmyHAUOcqDhyImTqLQDNgviIJiYu5zxrNj6ekmKHQXJxsZ30Q0jnPVR9dRHGvtiiwWyHAXWhCZGKKGD0xGSHmj0v8GWDsl3FMjX5eVSIMeA+UgFK7bcCHMUSBzsIFmTbSayJiui8zy8PCLr7Sh2FKRsYdgNy3XICRyaeF8DHX0HJarg4pBcl1cfqQpMl3ew1RI0KTzB5U+khx1ygUhqCU+Uo4gtIKE58w5yLiPVQ0BHleB3FFI00aJCxkyruO0a3O2pUUcNRUcBAF8TQXeTQqwBAAAAAElFTkSuQmCC)
:
![](data:image/png;base64,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)
; вычисляется величина
![](data:image/png;base64,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)
, соответствующая этому отрезку. Если она оказалась меньше
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAAYCAYAAAAYl8YPAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAADnSURBVEjHY2hsbGSgFmYYNWwkGAYEjMiYbMPKy9N4PWQY9gAN+QfF/2XdcopJNqy+PlbSmIHhLkwzlH+HwTh6AemG5XkYyjIYn4wtL5cixYtYDQNpbog29oF7kQgXYTWsoyONBxxWBAzA5VoUTo6bbDGDjMeetI4OHlwawWqALsYWISicaGOGBWDDyst5QYYANZYwMMi+9sirN4SHp3FUL4gdZSzbCxPHahg85uBJAmEQzFXG0Q0+IDYoXNFdR1IKz3MzTkF2pbFbXgrZhlHVZbAwA4UnwTAjBoMjCRSbHnlFo+UZ5RgA+eSPe1apcMUAAAAASUVORK5CYII=)
, то этот интеграл вычисляется по соответствующей формуле и программа переходит к следующему справа отрезку разбиения. В противном случае отрезки
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAApCAYAAACC0PFZAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAJRSURBVGje7Zk9coJAFMc3vTmAjmuXA5glrVVGdzJ6AGRsLTIOjQVFitWOJgeIlXbxBCn0KHiC5Awx7AoGGD52QXABi1dQuL4f7+u/D7BcLkFdrbbgN/hKwQBwR6128AsNDW3wI2jj/dQ0G6WEF4lc0GZ9OIf92byUkTfNaWPQQasJIc00v8UQbrFOutLAu3XIE1FReO/ZhEyaqDNY8aZ87vCGMb3HbbC3nful9Yi0xfBS8BR4jMCGnW3X+Ux9UgEab6To9m+vz48QgB+3BqPq0Rs9+rIYvGG04jLGMCYtBMABIG1Nn4mOu/S/kl5uIfAsBW3neJqPhsDayQzXjr5nB9BX2zSbPFFO2ytyHDvoIOoMD0TY2URFI9GUzw2epnjQmUs1PFbnnrPTprwP3ltjWWbtGZ5Gx6ld9gzxLqkTi8CzDk/BofKlQOVT0/ELVklPZNr468itNw5Hk2cu2Ll1yys82O86ykccvBPpb9dPnagPdn+xwnw+BcHpIyHKL7KJVMnYS7jBp4S/VD8oHbyoUqsMPK9Sqxy8iFKLGpnXsszwaZRaQKpezTLDp1VqlUj7JKVWlu6fCj5Oqf0rLWSl2byUXuQwfa3insjqSGp43lR2JoEVvG8XufbiPS8Z3pPeWS82GZcg1llMqWSU/XYZzSTt5tZxPFc1KQ18sHcUcdmSekQFtza1gXcjX4u0D93YQLzNs/FKnPLwPW/9IK0oKWJnIF+6q2hEZbQrdOg+IWwrWzl49vHhtEH2mPjHj9LB+9RYzOeq2sz52tX8Db4g+wPFwnDL8t/mEgAAAABJRU5ErkJggg==)
и
![](data:image/png;base64,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)
объявляются отрезками разбиения, и программа обращается к вычислению интеграла по левому из этих отрезков. В начале работы программа обращается к вычислению исходного интеграла
![](data:image/png;base64,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)
. Некоторым недостатком этой процедуры является необходимость запоминания отрезков разбиения, интегрирование по которым на данный момент не произведено.
3 Список использованной литературы.
1. Бахвалов Н.С. Численные методы. т.1 – М.: Наука. 1975.
2. Демидович Б.П., Марон И.А. Основы вычислительной математики. – М.: Наука, 1966.
3. Калиткин Н.Н Численные методы. – М.: Наука, 1978.
4. Мусіяка В.Г. Основи чисельних методів механіки. – Дніпропетровськ: Видавництво ДДУ, 1993.
4 Практическая часть
4.1 Решение задачи
Наложим на область G прямоугольную сетку с шагами
и
, вследствие чего получим внутреннюю прямоугольную ячейку с площадью
и координатами центра
и две граничные треугольные ячейки с площадями и координатами центров соответственно
,
и
. Не учитывая граничные ячейки, получаем:
. Дополнение от граничных ячеек:
.Окончательно получаем:
![](data:image/png;base64,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)
4.2 Блок-схема программы
За программой и блок-схемой по данной теме обращайтесь по адресу: shuric_1@mail.ru
4.4 Результаты решения
Расчёт проводился при точности eps=1E-6.
Интеграл равен: 0.221612
Количество ячеек равно 8525.