相關主題
商品描述
This book provides a pragmatic, methodical and easy-to-follow presentation of numerical methods and their effective implementation using MATLAB, which is introduced at the outset. The author introduces techniques for solving equations of a single variable and systems of equations, followed by curve fitting and interpolation of data. The book also provides detailed coverage of numerical differentiation and integration, as well as numerical solutions of initial-value and boundary-value problems. The author then presents the numerical solution of the matrix eigenvalue problem, which entails approximation of a few or all eigenvalues of a matrix. The last chapter is devoted to numerical solutions of partial differential equations that arise in engineering and science. Each method is accompanied by at least one fully worked-out example showing essential details involved in preliminary hand calculations, as well as computations in MATLAB. This thoroughly-researched resource:
商品描述(中文翻譯)
本書提供了一個務實、系統化且易於遵循的數值方法介紹,以及如何有效地使用 MATLAB 實現這些方法,MATLAB 在書中一開始就被介紹。作者介紹了解決單變量方程和方程組的技術,接著是數據的曲線擬合和插值。本書還詳細涵蓋了數值微分和積分,以及初值問題和邊界值問題的數值解。接下來,作者介紹了矩陣特徵值問題的數值解,這涉及到對矩陣的幾個或所有特徵值的近似。最後一章專門討論在工程和科學中出現的偏微分方程的數值解。每種方法都附有至少一個完整的範例,顯示了初步手動計算和 MATLAB 計算中涉及的基本細節。這本經過深入研究的資源: