https://uynajgi.github.io/yuulibrary/tags/Matlab.htmlRecent content in Matlab on Yuunagi LibraryHugozh-CN© YuunagiFri, 17 Jul 2026 23:03:29 +0800https://uynajgi.github.io/yuulibrary/books/numerical-computation/index.htmlMon, 06 Jul 2026 00:00:00 +0000https://uynajgi.github.io/yuulibrary/books/numerical-computation/index.html<section class="book-cover"> <h1 class="book-cover-title">数值计算</h1> <p class="book-cover-subtitle">数值分析基础与 Matlab 实践</p> <p class="book-cover-author">同济大学计算数学教研室 编著</p> </section> <h2 id="目录">目录<a class="anchor" href="#%e7%9b%ae%e5%bd%95">#</a></h2> <div class="book-toc-list"> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/preface.html"> <span class="toc-row-title">前言</span> <span class="toc-row-desc">同济大学《数值计算》教材前言——编写动机、内容范围与读者对象。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch01.html"> <span class="toc-row-title">第1章 · 科学计算与 Matlab</span> <span class="toc-row-desc">科学计算的意义、误差基础知识（误差来源、度量、有效数字、浮点数系），以及 Matlab 软件入门。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch02.html"> <span class="toc-row-title">第2章 · 线性方程组的直接解法</span> <span class="toc-row-desc">高斯消去法、矩阵的三角分解（LU、LDU、Crout、Cholesky、追赶法），以及方程组的性态与条件数。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch03.html"> <span class="toc-row-title">第3章 · 多项式插值与样条插值</span> <span class="toc-row-desc">多项式插值（Lagrange、Neville、Newton、差商）与样条插值（三次样条、边界条件）。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch04.html"> <span class="toc-row-title">第4章 · 函数逼近</span> <span class="toc-row-desc">函数逼近：最佳一致逼近（Chebyshev 多项式）、最佳平方逼近、最小二乘拟合与正交多项式。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch05.html"> <span class="toc-row-title">第5章 · 数值积分与数值微分</span> <span class="toc-row-desc">数值积分（Newton-Cotes、复化公式、Romberg、Gauss 型积分、Monte Carlo）与数值微分。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch06.html"> <span class="toc-row-title">第6章 · 线性方程组的迭代解法</span> <span class="toc-row-desc">线性方程组的迭代解法：Jacobi、Gauss-Seidel、SOR、最速下降、共轭梯度、GMRES、预处理技术。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch07.html"> <span class="toc-row-title">第7章 · 非线性方程求根</span> <span class="toc-row-desc">非线性方程求根：二分法、不动点迭代、迭代加速、牛顿法、割线法，以及非线性方程组与最小二乘。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch08.html"> <span class="toc-row-title">第8章 · 矩阵特征值与特征向量的计算</span> <span class="toc-row-desc">矩阵特征值与特征向量的计算：乘幂法、反幂法、原点平移，以及 QR 方法。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/ch09.html"> <span class="toc-row-title">第9章 · 常微分方程初边值问题数值解</span> <span class="toc-row-desc">常微分方程初边值问题数值解：Euler 公式、龙格-库塔方法、线性多步法、预估校正、有限差分法。</span> <span class="toc-row-arrow">›</span> </a> <a class="toc-row" href="https://uynajgi.github.io/yuulibrary/books/numerical-computation/index_term.html"> <span class="toc-row-title">索引</span> <span class="toc-row-desc">《数值计算》全书术语索引（按拼音/字母排序）。</span> <span class="toc-row-arrow">›</span> </a> </div>