Scientific Computing: An Introductory Survey

Scientific Computing: An Introductory Survey
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发表时间:
1996-12
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通讯作者:
Michael T. Heath;Eric M. Munson
Michael T. Heath;Eric M. Munson
中科院分区:
其他
文献类型:
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作者:
Michael T. Heath;Eric M. Munson

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出自出版商:这本书概括介绍了解决科学计算中所有主要问题的数值方法,包括线性和非线性方程、最小二乘法、特征值、最优化、内插、积分、常微分方程式和偏微分方程式、快速傅立叶变换和随机数发生器。这本书的内容全面而简洁,面向软件,并与各种软件包和编程语言兼容。这本书收录了160多个例子、500个复习问题、240个练习和200个计算机问题。第二版的变化包括:扩展的动机讨论和例子;所有主要算法的正式陈述;扩展对每一类问题的存在、唯一性和条件性的讨论,以便学生能够识别好的和不好的问题公式并理解所产生的结果的相应质量;以及扩展了几个主题的覆盖范围,特别是特征值和约束最优化。这本书包含了丰富的材料,可用于计算机科学、数学或工程学的各种一到两个学期的课程。它的全面性和现代观点,以及提供的软件指针,也使其成为需要解决计算问题的实践专业人员的非常有用的参考。
From the Publisher: "This book presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinear equations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems." "Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results producted; and expanded coverage of several topics, particularly eigenvalues and constrained optimization." The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.