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Numerical Solution of Differential Equations
This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB® codes, all available online.
Numerical Solution of Differential Equations
A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.
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Moving Interface Problems and Applications in Fluid Dynamics
This volume is a collection of research papers presented at the program on Moving Interface Problems and Applications in Fluid Dynamics, which was held between January 8 and March 31, 2007 at the Institute for Mathematical Sciences (IMS) of the National University of Singapore. The topics discussed include modeling and simulations of biological flow coupled to deformable tissue/elastic structure, shock wave and bubble dynamics and various applications including biological treatments with experimental verification, multi-medium flow or multi-phase flow and various applications including cavitation/supercavitation, detonation problems, Newtonian and non-Newtonian fluid, and many other areas. Readers can benefit from some recent research results in these areas.
Computational Sciences - Modelling, Computing and Soft Computing
This book constitutes revised and selected papers of the First International Conference on Computational Sciences - Modelling, Computing and Soft Computing, held in Kozhikode, Kerala, India, in September 2020. The 15 full papers and 6 short papers presented were thoroughly reviewed and selected from the 150 submissions. They are organized in the topical secions on computing; soft computing; general computing; modelling.
Nonlocal Modeling, Analysis, and Computation
Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and...
The Talent of Shu
The Talent of Shu reconstructs the intellectual world of early medieval Sichuan through a critical biography of Qiao Zhou, a noted classicist, historian, and official of Shu-Han. Countering conceptions of Sichuan as an intellectual backwater, author J. Michael Farmer provides an analytical narrative history of the significant intellectual and scholarly activity in the region during the late second through third centuries CE. Qiao Zhou stands as an apt figure to represent the intellectual world of third-century Sichuan. An heir to a long-standing regional intellectual tradition, he was trained in political prophesy, canonical studies, and ancient history, and in true Confucian fashion, employed these skills in the service of the state. While some of Qiao's scholarship, as well as his political engagement, was conservative, he also stands as an innovator in the fields of canonical and historical criticism and local history. As such, he embodies not only the scholarly tradition of Sichuan, but also the intellectual transitions of the age.
Cold Mountain Poems
This book unveils the legendary life and the mystic poems of the iconic Chinese Tang poet Han-shan (known by his pen name “Cold Mountain”) and investigates the dissemination and reception of the Cold Mountain Poems (CMPs) attributed to him. Han-shan and the CMPs are amongst the most legendary literary landscapes and cultural memories in the history of world scholarly exchange. The maniac poet recluse hidden in the Cold Mountains, the delicate poetic realms of Confucianism, Buddhism, Zen and Taoism contained in the Cold Mountain Poems, and the incredible pervasiveness of its text travel and canon construction worldwide, as well as the profound impact of CMPs on comparative literature, wor...
Index Medicus
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
