Hong Xiao – författare

Water Environment Modeling covers the formulations and applications of mathematical models that simulate water flow and chemical transport in rivers, lakes, groundwater, estuaries, coastal, and ocean waters. These models are used to evaluate the response of water environment to human interventions and serve as useful analytical tools for water pollution control and resource management.

Simple and comprehensive modeling techniques and their practical applications are presented with examples and exercises, most of which are derived from actual case studies. In general, simple models can be solved analytically and comprehensive models require numerical solutions. While simple models are usually adopted for preliminary assessment of a particular water environment, comprehensive models are used to provide detailed spatial and temporal variations of pollutants in complex environments. The system-based models in the forms of integral equations are introduced as an alternative modeling approach.

This textbook is ideal for advanced undergraduate students and graduate students in civil and environmental engineering and related academic fields. It is also suitable as a reference book for practicing engineers and scientists.

Authors:

Clark C.K. Liu is Emeritus Professor of the Department of Civil and Environmental Engineering at University of Hawaii and former Environmental Engineering Director of US National Science Foundation.

Pengzhi Lin is Professor of State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University. He is the author of Numerical Modeling of Water Waves (CRC Press, 2008).

Hong Xiao is Professor and Vice Director of Hydroinformatics Institute of the State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University.

Water Environment Modeling covers the formulations and applications of mathematical models that simulate water flow and chemical transport in rivers, lakes, groundwater, estuaries, coastal, and ocean waters. These models are used to evaluate the response of water environment to human interventions and serve as useful analytical tools for water pollution control and resource management.

Simple and comprehensive modeling techniques and their practical applications are presented with examples and exercises, most of which are derived from actual case studies. In general, simple models can be solved analytically and comprehensive models require numerical solutions. While simple models are usually adopted for preliminary assessment of a particular water environment, comprehensive models are used to provide detailed spatial and temporal variations of pollutants in complex environments. The system-based models in the forms of integral equations are introduced as an alternative modeling approach.

This textbook is ideal for advanced undergraduate students and graduate students in civil and environmental engineering and related academic fields. It is also suitable as a reference book for practicing engineers and scientists.

Authors:

Clark C.K. Liu is Emeritus Professor of the Department of Civil and Environmental Engineering at University of Hawaii and former Environmental Engineering Director of US National Science Foundation.

Pengzhi Lin is Professor of State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University. He is the author of Numerical Modeling of Water Waves (CRC Press, 2008).

Hong Xiao is Professor and Vice Director of Hydroinformatics Institute of the State Key Laboratory of Hydraulics and Mountain River Engineering at Sichuan University.

Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play  an important role in signal processing, Fourier analysis, and  approximation theory. While historically the numerical evaluation  of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any  other class of special functions. As a result, PSWFs have been becoming a popular computational tool.

The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.