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181                <a class="reference internal" href="#">
182                    Вычислительная математика
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184            </li>
185        </ul>
186        <p aria-level="2" class="caption" role="heading"><span class="caption-text">I.🚀Основы вычислительной математики. Линейные модели</span></p>
187<ul class="nav bd-sidenav">
188<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem1/intro.html">1.1 Введение, Численное дифференцирование, Погрешности</a><input class="toctree-checkbox" id="toctree-checkbox-1" name="toctree-checkbox-1" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-1"><i class="fa-solid fa-chevron-down"></i></label><ul>
189<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/1.html">Введение</a></li>
190<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/2.html">Численное дифференцирование</a></li>
191<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/3.html">Погрешность метода</a></li>
192<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/4.html">Погрешность машинного округления</a></li>
193<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/5.html">Оптимальный шаг дифференцирования</a></li>
194<li class="toctree-l2"><a class="reference internal" href="Block1/Sem1/hw.html">Домашнее задание</a></li>
195</ul>
196</li>
197<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem2/intro.html">1.2 Нормы. Числа обусловленности</a><input class="toctree-checkbox" id="toctree-checkbox-2" name="toctree-checkbox-2" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-2"><i class="fa-solid fa-chevron-down"></i></label><ul>
198<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/1.html">Задачи вычислительной линейной алгебры</a></li>
199<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/2.html">Линейная алгебра (напоминание)</a></li>
200<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/3.html">Числа обусловленности</a></li>
201<li class="toctree-l2"><a class="reference internal" href="Block1/Sem2/hw.html">Домашнее задание</a></li>
202</ul>
203</li>
204<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem3/intro.html">1.3 Линейная регрессия. PCA</a><input class="toctree-checkbox" id="toctree-checkbox-3" name="toctree-checkbox-3" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-3"><i class="fa-solid fa-chevron-down"></i></label><ul>
205<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/1.html">Задача регрессии (аппроксимации)</a></li>
206<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/2.html">Линейная регрессия</a></li>
207<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/3.html">Метод главных компонент (PCA)</a></li>
208<li class="toctree-l2"><a class="reference internal" href="Block1/Sem3/hw.html">Домашнее задание</a></li>
209</ul>
210</li>
211<li class="toctree-l1 has-children"><a class="reference internal" href="Block1/Sem4/intro.html">1.4 Взвешенный МНК. Погрешности весов. Матричные разложения</a><input class="toctree-checkbox" id="toctree-checkbox-4" name="toctree-checkbox-4" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-4"><i class="fa-solid fa-chevron-down"></i></label><ul>
212<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/1.html">Матричные разложения</a></li>
213<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/2.html">Погрешности данных и весов</a></li>
214<li class="toctree-l2"><a class="reference internal" href="Block1/Sem4/hw.html">Домашнее задание</a></li>
215</ul>
216</li>
217</ul>
218<p aria-level="2" class="caption" role="heading"><span class="caption-text">II.✨Обработка данных и оптимизация. Нелинейные модели</span></p>
219<ul class="nav bd-sidenav">
220<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem1/intro.html">2.1 Байесовское оценивание. Регуляризация. Численное решение регрессии</a><input class="toctree-checkbox" id="toctree-checkbox-5" name="toctree-checkbox-5" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-5"><i class="fa-solid fa-chevron-down"></i></label><ul>
221<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/1.html">Критерии переобучения и регуляризация</a></li>
222<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/2.html">Теорема Байеса</a></li>
223
224<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/3.html">Градиентный спуск - численный способ минимизации Loss-a. Простейший случай</a></li>
225<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/4.html">Гиперпараметры и кросс-валидация</a></li>
226<li class="toctree-l2"><a class="reference internal" href="Block2/Sem1/hw.html">Домашнее задание</a></li>
227</ul>
228</li>
229<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem2/intro.html">2.2 Минимизация функции. Нелинейная регрессиÑ
229</a><input class="toctree-checkbox" id="toctree-checkbox-6" name="toctree-checkbox-6" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-6"><i class="fa-solid fa-chevron-down"></i></label><ul>
230<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/1.html">Локальная минимизация по одной переменной</a></li>
231<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/2.html">Локальная минимизация по нескольким переменным</a></li>
232<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/3.html">Нелинейная регрессия</a></li>
233<li class="toctree-l2"><a class="reference internal" href="Block2/Sem2/hw.html">Домашнее задание</a></li>
234</ul>
235</li>
236<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem3/intro.html">2.3 Нелинейные уравнения и системы.</a><input class="toctree-checkbox" id="toctree-checkbox-7" name="toctree-checkbox-7" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-7"><i class="fa-solid fa-chevron-down"></i></label><ul>
237<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/1.html">Нелинейные уравнения одной переменной</a></li>
238
239<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/2.html">Нелинейные системы уравнений</a></li>
240<li class="toctree-l2"><a class="reference internal" href="Block2/Sem3/hw.html">Домашнее задание</a></li>
241</ul>
242</li>
243<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem4/intro.html">2.4 Кластеризация</a><input class="toctree-checkbox" id="toctree-checkbox-8" name="toctree-checkbox-8" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-8"><i class="fa-solid fa-chevron-down"></i></label><ul>
244<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/1.html">Кластеризация - что это и где нужно</a></li>
245<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/2.html">Методы кластеризации</a></li>
246<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/3.html">Оценка качества кластеризации</a></li>
247<li class="toctree-l2"><a class="reference internal" href="Block2/Sem4/hw.html">Домашнее задание</a></li>
248</ul>
249</li>
250<li class="toctree-l1 has-children"><a class="reference internal" href="Block2/Sem5/intro.html">2.5* Классификация. Нейронки</a><input class="toctree-checkbox" id="toctree-checkbox-9" name="toctree-checkbox-9" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-9"><i class="fa-solid fa-chevron-down"></i></label><ul>
251<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/1.html">Задача классификации</a></li>
252<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/2.html">Построение многослойного персептрона</a></li>
253<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/3.html">Обучение перспетрона</a></li>
254
255<li class="toctree-l2"><a class="reference internal" href="Block2/Sem5/hw.html">Домашнее задание</a></li>
256</ul>
257</li>
258</ul>
259<p aria-level="2" class="caption" role="heading"><span class="caption-text">III.🌀Вычислительная линейная алгебра</span></p>
260<ul class="nav bd-sidenav">
261<li class="toctree-l1 has-children"><a class="reference internal" href="Block3/Sem1/intro.html">3.1 Итерационные методы для решения СЛАУ</a><input class="toctree-checkbox" id="toctree-checkbox-10" name="toctree-checkbox-10" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-10"><i class="fa-solid fa-chevron-down"></i></label><ul>
262<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/1.html">Прямые методы решения СЛАУ.</a></li>
263<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/2.html">Двухслойные итерационные схемы</a></li>
264<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/3.html">Многослойные итерационные схемы</a></li>
265<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/4.html">Сравнение итерационного метода Якоби и прямого метода Гаусса</a></li>
266
267<li class="toctree-l2"><a class="reference internal" href="Block3/Sem1/hw.html">Домашнее задание</a></li>
268</ul>
269</li>
270<li class="toctree-l1 has-children"><a class="reference internal" href="Block3/Sem2/intro.html">3.2 Проблема собственных значений</a><input class="toctree-checkbox" id="toctree-checkbox-11" name="toctree-checkbox-11" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-11"><i class="fa-solid fa-chevron-down"></i></label><ul>
271<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/1.html">Степенной метод и определения</a></li>
272<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/2.html">QR алгоритм</a></li>
273<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/3.html">Другие методы</a></li>
274<li class="toctree-l2"><a class="reference internal" href="Block3/Sem2/hw.html">Домашнее задание</a></li>
275</ul>
276</li>
277</ul>
278<p aria-level="2" class="caption" role="heading"><span class="caption-text">IV.🧮Вычислительный математический анализ</span></p>
279<ul class="nav bd-sidenav">
280<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem1/intro.html">4.1 Интерполяция</a>
280<input class="toctree-checkbox" id="toctree-checkbox-12" name="toctree-checkbox-12" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-12"><i class="fa-solid fa-chevron-down"></i></label><ul>
281<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/1.html">Задача интерполяции. Полиномиальная интерполяция</a></li>
282<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/2.html">Погрешности алгебраической интерполяции</a></li>
283<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/3.html">Интерполяция сплайном</a></li>
284<li class="toctree-l2"><a class="reference internal" href="Block4/Sem1/hw.html">Домашнее задание</a></li>
285</ul>
286</li>
287<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem2/intro.html">4.2 Численное интегрирование</a><input class="toctree-checkbox" id="toctree-checkbox-13" name="toctree-checkbox-13" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-13"><i class="fa-solid fa-chevron-down"></i></label><ul>
288<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/1.html">Квадратуры Ньютона</a></li>
289<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/2.html">Практическая оценка погрешности</a></li>
290<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/3.html">Квадратуры Гаусса</a></li>
291<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/4.html">Интегралы с особенностями</a></li>
292<li class="toctree-l2"><a class="reference internal" href="Block4/Sem2/hw.html">Домашнее задание</a></li>
293</ul>
294</li>
295<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem3/intro.html">4.3 Пределы и ряды</a><input class="toctree-checkbox" id="toctree-checkbox-14" name="toctree-checkbox-14" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-14"><i class="fa-solid fa-chevron-down"></i></label><ul>
296<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/1.html">Численное интегрирование на разностных схемах</a></li>
297<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/2.html">Расчёт бесконечных сумм</a></li>
298<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/3.html">Быстрое вычисление пределов</a></li>
299<li class="toctree-l2"><a class="reference internal" href="Block4/Sem3/hw.html">Домашнее задание</a></li>
300</ul>
301</li>
302<li class="toctree-l1 has-children"><a class="reference internal" href="Block4/Sem4/intro.html">4.4 Дискретное преобразование Фурье</a><input class="toctree-checkbox" id="toctree-checkbox-15" name="toctree-checkbox-15" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-15"><i class="fa-solid fa-chevron-down"></i></label><ul>
303<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/1.html">Дискретное преобразование Фурье</a></li>
304<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/2.html">Быстрое преобразование Фурье (FFT)</a></li>
305<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/3.html">Анализ сезонности во временных рядах (реальный пример)</a></li>
306<li class="toctree-l2"><a class="reference internal" href="Block4/Sem4/hw.html">Домашнее задание</a></li>
307</ul>
308</li>
309</ul>
310<p aria-level="2" class="caption" role="heading"><span class="caption-text">V.🥓Дифференциальные уравнения</span></p>
311<ul class="nav bd-sidenav">
312<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem1/intro.html">5.1 ОДУ. Задача Коши</a><input class="toctree-checkbox" id="toctree-checkbox-16" name="toctree-checkbox-16" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-16"><i class="fa-solid fa-chevron-down"></i></label><ul>
313<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/1.html">Дискретизация Задачи Коши. Частный случай, общий подход</a></li>
314<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/2.html">Дискретизация Задачи Коши. Общая теория дискретизации ОДУ.</a></li>
315<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/3.html">Исследование схем на устойчивость</a></li>
316<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/4.html">Жесткие системы</a></li>
317<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/5.html">Одношаговые методы Рунге-Кутта</a></li>
318<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/6.html">Многошаговые методы</a></li>
319<li class="toctree-l2"><a class="reference internal" href="Block5/Sem1/hw.html">Домашнее задание</a></li>
320
321
322
323</ul>
324</li>
325<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem2/intro.html">5.2 ОДУ. Краевая задача</a><input class="toctree-checkbox" id="toctree-checkbox-17" name="toctree-checkbox-17" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-17"><i class="fa-solid fa-chevron-down"></i></label><ul>
326<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/1.html">Линейная краевая задача</a></li>
327
328
329<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/2.html">Нелинейная краевая задача</a></li>
330
331<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/3.html">Аппроксимация граничных условий</a></li>
332
333<li class="toctree-l2"><a class="reference internal" href="Block5/Sem2/hw.html">Домашнее задание</a></li>
334</ul>
335</li>
336<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem3/intro.html">5.3 УРЧП. Метод конечных разностей</a><input class="toctree-checkbox" id="toctree-checkbox-18" name="toctree-checkbox-18" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-18"><i class="fa-solid fa-chevron-down"></i></label><ul>
337<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/1.html">Формулировка УРЧП. Классификация</a></li>
338<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/2.html">Параболический тип. Общие принципы метода конечных разностей</a></li>
339
340
341
342
343
344<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/3.html">Эллиптический тип</a></li>
345<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/4.html">Гиперболические уравнения</a></li>
346<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/5.html">Сходимость разностных схем</a></li>
347
348
349<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/6.html">Задание краевых условий на криволиÐ
349½ÐµÐ¹Ð½Ð¾Ð¹ границе</a></li>
350<li class="toctree-l2"><a class="reference internal" href="Block5/Sem3/hw.html">Домашнее задание</a></li>
351</ul>
352</li>
353<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem4/intro.html">5.4 УРЧП. Finite Element Method</a><input class="toctree-checkbox" id="toctree-checkbox-19" name="toctree-checkbox-19" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-19"><i class="fa-solid fa-chevron-down"></i></label><ul>
354<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/1.html">Теория метода конечных элементов (FEM)</a></li>
355<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/2.html">Библиотека FEniCS</a></li>
356<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/3.html">Пример. Уравнение Пуассона</a></li>
357<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/4.html">Пример. Нелинейное уравнение Пуассона</a></li>
358<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/5.html">Пример. Уравнение теплопроводности</a></li>
359<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/6.html">Пример. Уравнение Навье-Стокса</a></li>
360<li class="toctree-l2"><a class="reference internal" href="Block5/Sem4/hw.html">Домашнее задание</a></li>
361</ul>
362</li>
363<li class="toctree-l1 has-children"><a class="reference internal" href="Block5/Sem5/intro.html">5.5* Нейросетевые методы для решения ДУ</a><input class="toctree-checkbox" id="toctree-checkbox-20" name="toctree-checkbox-20" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-20"><i class="fa-solid fa-chevron-down"></i></label><ul>
364<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/1.html">Теоретическое введение</a></li>
365<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/2.html">ОДУ первого порядка</a></li>
366<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/3.html">ОДУ второго порядка</a></li>
367<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/4.html">УРЧП</a></li>
368<li class="toctree-l2"><a class="reference internal" href="Block5/Sem5/5.html">Современные подходы и применения</a></li>
369</ul>
370</li>
371</ul>
372<p aria-level="2" class="caption" role="heading"><span class="caption-text">VI.🎲Случайные процессы</span></p>
373<ul class="nav bd-sidenav">
374<li class="toctree-l1 has-children"><a class="reference internal" href="Block6/Sem1/intro.html">6.1 Основы метода Монте-Карло</a><input class="toctree-checkbox" id="toctree-checkbox-21" name="toctree-checkbox-21" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-21"><i class="fa-solid fa-chevron-down"></i></label><ul>
375<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/1.html">«Школьный» пример. Вычисление числа <span class="math notranslate nohighlight">\(\pi\)</span></a></li>
376<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/2.html">Интегрирование методом Монте-Карло</a></li>
377
378
379<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/3.html">Монте-Карло для генерации точек из распределений (сэмплирование)</a></li>
380
381
382<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/4.html">Нахождение физических величин с помощью Монте-Карло. Модель Изинга</a></li>
383<li class="toctree-l2"><a class="reference internal" href="Block6/Sem1/hw.html">Домашнее задание</a></li>
384</ul>
385</li>
386<li class="toctree-l1 has-children"><a class="reference internal" href="Block6/Sem2/intro.html">6.2* Renforcement Learning</a><input class="toctree-checkbox" id="toctree-checkbox-22" name="toctree-checkbox-22" type="checkbox"/><label class="toctree-toggle" for="toctree-checkbox-22"><i class="fa-solid fa-chevron-down"></i></label><ul>
387<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/1.html">Мотивация</a></li>
388<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/2.html">Основные определения. Value iteration</a></li>
389
390<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/3.html">Q-Learning</a></li>
391<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/4.html">Approximate Q-Learning</a></li>
392<li class="toctree-l2"><a class="reference internal" href="Block6/Sem2/hw.html">Домашнее задание</a></li>
393</ul>
394</li>
395</ul>
396
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531    <h1>Вычислительная математика</h1>
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545  <section class="tex2jax_ignore mathjax_ignore" id="id1">
546<h1>Вычислительная математика<a class="headerlink" href="#id1" title="Link to this heading">#</a></h1>
547<p>Это бета-версия сайта пилотного курса вычислительной математики МФТИ. Сайт будет редактироваться, расширяться и дополняться.</p>
548<p>Программа курса разработана для ЛФИ совместно с кафедрой вычислительной физики МФТИ. Курс ориентирован на развитие у студентов навыков практического решения задач вычислительной физики и обучение численным методам решения задач математического анализа, линейной алгебры, обработки данных и вероятностного моделирования. Программу, задания и данный сайт составили ассистент кафедры вычислительной физики <a class="reference external" href="https://repetit.ru/repetitor.aspx?id=8224">Воронцов Игорь Андреевич</a> и аспирант <a class="reference external" href="https://vk.com/rfrelpes">Лукьянчук Вячеслав Георгиевич</a>. В рамках курса предусмотрена 1 пара лекций и 1 пара семинаров в неделю, а также есть записанные лекции и разбор дополнительных задач (см. ссылкb ниже).</p>
549<p>Полезные ссылки:</p>
550<ul class="simple">
551<li><p><a class="reference external" href="https://vk.com/video/&#64;club101906738">Записи лекций и семинаров (VK)</a></p></li>
552<li><p><a class="reference external" href="https://www.youtube.com/playlist?list=PLJ27PpiH6Dw3S9TzwQ02LKHCURkh_-BP9">Записи лекций и семинаров (YouTube)</a></p></li>
553<li><p><a class="reference external" href="https://disk.yandex.ru/d/lzrdasKofnU71w">Материалы семинаров (2024-2025)</a></p></li>
554</ul>
555<p>Для связи обращаться к <a class="reference external" href="https://t.me/Igor_Vorontsov">Воронцову Игорю</a></p>
556<div class="toctree-wrapper compound">
557<p aria-level="2" class="caption" role="heading"><span class="caption-text">I.🚀Основы вычислительной математики. Линейные модели</span></p>
558<ul>
559<li class="toctree-l1"><a class="reference internal" href="Block1/Sem1/intro.html">1.1 Введение, Численное дифференцирование, Погрешности</a></li>
560<li class="toctree-l1"><a class="reference internal" href="Block1/Sem2/intro.html">1.2 Нормы. Числа обусловленности</a></li>
561<li class="toctree-l1"><a class="reference internal" href="Block1/Sem3/intro.html">1.3 Линейная регрессия. PCA</a></li>
562<li class="toctree-l1"><a class="reference internal" href="Block1/Sem4/intro.html">1.4 Взвешенный МНК. Погрешности весов. Матричные разложения</a></li>
563</ul>
564</div>
565<div class="toctree-wrapper compound">
566<p aria-level="2" class="caption" role="heading"><span class="caption-text">II.✨Обработка данных и оптимизация. Нелинейные модели</span></p>
567<ul>
568<li class="toctree-l1"><a class="reference internal" href="Block2/Sem1/intro.html">2.1 Байесовское оценивание. Регуляризация. Численное решение регрессии</a></li>
569<li class="toctree-l1"><a class="reference internal" href="Block2/Sem2/intro.html">2.2 Минимизация функции. Нелинейная регрессиÑ
569</a></li>
570<li class="toctree-l1"><a class="reference internal" href="Block2/Sem3/intro.html">2.3 Нелинейные уравнения и системы.</a></li>
571<li class="toctree-l1"><a class="reference internal" href="Block2/Sem4/intro.html">2.4 Кластеризация</a></li>
572<li class="toctree-l1"><a class="reference internal" href="Block2/Sem5/intro.html">2.5* Классификация. Нейронки</a></li>
573</ul>
574</div>
575<div class="toctree-wrapper compound">
576<p aria-level="2" class="caption" role="heading"><span class="caption-text">III.🌀Вычислительная линейная алгебра</span></p>
577<ul>
578<li class="toctree-l1"><a class="reference internal" href="Block3/Sem1/intro.html">3.1 Итерационные методы для решения СЛАУ</a></li>
579<li class="toctree-l1"><a class="reference internal" href="Block3/Sem2/intro.html">3.2 Проблема собственных значений</a></li>
580</ul>
581</div>
582<div class="toctree-wrapper compound">
583<p aria-level="2" class="caption" role="heading"><span class="caption-text">IV.🧮Вычислительный математический анализ</span></p>
584<ul>
585<li class="toctree-l1"><a class="reference internal" href="Block4/Sem1/intro.html">4.1 Интерполяция</a></li>
586<li class="toctree-l1"><a class="reference internal" href="Block4/Sem2/intro.html">4.2 Численное интегрирование</a></li>
587<li class="toctree-l1"><a class="reference internal" href="Block4/Sem3/intro.html">4.3 Пределы и ряды</a></li>
588<li class="toctree-l1"><a class="reference internal" href="Block4/Sem4/intro.html">4.4 Дискретное преобразование Фурье</a></li>
589</ul>
590</div>
591<div class="toctree-wrapper compound">
592<p aria-level="2" class="caption" role="heading"><span class="caption-text">V.🥓Дифференциальные уравнения</span></p>
593<ul>
594<li class="toctree-l1"><a class="reference internal" href="Block5/Sem1/intro.html">5.1 ОДУ. Задача Коши</a></li>
595<li class="toctree-l1"><a class="reference internal" href="Block5/Sem2/intro.html">5.2 ОДУ. Краевая задача</a></li>
596<li class="toctree-l1"><a class="reference internal" href="Block5/Sem3/intro.html">5.3 УРЧП. Метод конечных разностей</a></li>
597<li class="toctree-l1"><a class="reference internal" href="Block5/Sem4/intro.html">5.4 УРЧП. Finite Element Method</a></li>
598<li class="toctree-l1"><a class="reference internal" href="Block5/Sem5/intro.html">5.5* Нейросетевые методы для решения ДУ</a></li>
599</ul>
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602<p aria-level="2" class="caption" role="heading"><span class="caption-text">VI.🎲Случайные процессы</span></p>
603<ul>
604<li class="toctree-l1"><a class="reference internal" href="Block6/Sem1/intro.html">6.1 Основы метода Монте-Карло</a></li>
605<li class="toctree-l1"><a class="reference internal" href="Block6/Sem2/intro.html">6.2* Renforcement Learning</a></li>
606</ul>
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