An Introduction to Scientific Computing: Fifteen Computational Projects Solved with MATLAB
暫譯: 科學計算入門：十五個使用 MATLAB 解決的計算專案
Danaila, Ionut, Joly, Pascal, Kaber, Sidi Mahmoud
相關主題
商品描述
This book demonstrates scientific computing by presenting twelve computational projects spanning a broad spectrum of disciplines including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing and more. Each project guides the reader through typical steps of scientific computing, from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of results. The text teaches practical computational methods which are not usually available in basic textbooks: numerical checking of accuracy or stability, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. Programming techniques such as vectorial programming and memory storage optimization are addressed, and chapter-ending references form a guide for further reading. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.
商品描述(中文翻譯)
本書透過展示十二個計算專案，涵蓋流體力學、化學、彈性、熱科學、計算機輔助設計、信號與影像處理等廣泛的學科，來演示科學計算。每個專案引導讀者經歷科學計算的典型步驟，從問題的物理與數學描述，到數值公式化與程式設計，最後進行結果的關鍵討論。文本教授的實用計算方法通常在基礎教科書中無法獲得：準確性或穩定性的數值檢查、邊界條件的選擇、線性系統的有效求解、與精確解的比較等。書中還涉及向量程式設計和記憶體儲存優化等程式設計技術，章末的參考文獻為進一步閱讀提供指引。每個專案的最後部分包含所提議練習的解答，並指導讀者使用可在線獲得的MATLAB腳本。
作者簡介
Ionut Danaila is Professor of Applied Mathematics at the University of Rouen Normandy, Laboratoire de mathématiques Raphaël Salem, and former member of Laboratoire Jacques-Louis Lions, Sorbonne Université. He is co-author of two textbooks (in French) on scientific computing and one research monograph (on vortex ring models) for researchers and graduate students. His main research interests are in numerical analysis and modern scientific computing. He developed several numerical codes for applications in fluid mechanics, quantum physics and thermal sciences. Over the last decade, he headed two fundamental research projects on the mathematical modelling and high-performance simulation of quantum systems (Bose-Einstein condensates and superfluid helium).
Pascal Joly, now retired, was Research Scientist at Laboratoire Jacques-Louis Lions, Sorbonne Université and Centre national de la recherche scientifique (CNRS). His main research interests concern efficient algorithms in scientific computing (such as solving large sparse linear systems of equations), coding finite element methods for various industrial applications and exploring the wavelets theory in signal processing. He taught courses on numerical methods in various engineering schools and he is former deputy director of the Master of Sciences and Technology of the Université Pierre et Marie Curie for applied Mathematics.
Sidi-Mahmoud Kaber is Associate Professor of Applied Mathematics at Laboratoire Jacques-Louis Lions, Sorbonne Université. He is co-author of three textbooks in French and one in English on numerical analysis. His main research interests include approximation of singular functions and numerical schemes for parallel computing. He is very engaged in using programming and software in mathematics education.
Marie Postel is Associate Professor of Applied Mathematics at Laboratoire Jacques-Louis Lions, Sorbonne Université. She is co-author of two textbooks (in French) on numerical methods. Her research interests are currently mathematical modeling of biological systems, along with the numerical simulation and calibration of model using experimental data. She has designed several adaptive methods in scientific computing for PDEs using multiresolution analysis. She is currently the head of a master program in engineering mathematics, and teaches numerical methods for ODEs, PDEs and optimization at undergraduate and graduate level.
作者簡介(中文翻譯)
Ionut Danaila 是法國魯昂諾曼第大學應用數學教授，隸屬於拉法葉·薩勒數學實驗室，並曾是索邦大學雅克·路易·李昂實驗室的成員。他是兩本法文科學計算教科書的共同作者，以及一本針對研究人員和研究生的研究專著（關於渦環模型）。他的主要研究興趣在於數值分析和現代科學計算。他為流體力學、量子物理和熱科學的應用開發了幾個數值代碼。在過去十年中，他負責了兩個關於量子系統（玻色-愛因斯坦凝聚和超流氦）數學建模和高效能模擬的基礎研究項目。
Pascal Joly 現已退休，曾任索邦大學雅克·路易·李昂實驗室及法國國家科學研究中心（CNRS）的研究科學家。他的主要研究興趣涉及科學計算中的高效算法（例如解決大型稀疏線性方程組）、為各種工業應用編碼有限元素方法，以及在信號處理中探索小波理論。他在多所工程學校教授數值方法課程，並曾擔任皮埃爾與瑪麗·居里大學應用數學碩士學位課程的副主任。
Sidi-Mahmoud Kaber 是索邦大學雅克·路易·李昂實驗室的應用數學副教授。他是三本法文和一本英文數值分析教科書的共同作者。他的主要研究興趣包括奇異函數的近似和並行計算的數值方案。他非常積極地在數學教育中使用程式設計和軟體。
Marie Postel 是索邦大學雅克·路易·李昂實驗室的應用數學副教授。她是兩本法文數值方法教科書的共同作者。她目前的研究興趣是生物系統的數學建模，以及使用實驗數據進行模型的數值模擬和校準。她設計了幾種針對偏微分方程的自適應方法，並使用多解析度分析。她目前是工程數學碩士課程的負責人，並在本科和研究生階段教授常微分方程、偏微分方程和優化的數值方法。
