Dwight Look College of EngineeringDwight Look College of Engineeringhttp://hdl.handle.net/1969.1/24972015-03-28T00:35:55Z2015-03-28T00:35:55ZLectures on Applied Mathematics Part 2: Numerical Analysishttp://hdl.handle.net/1969.1/1537592015-03-25T05:50:09Z2015-03-24T00:00:00ZLectures on Applied Mathematics Part 2: Numerical Analysis
This book is designed to be a continuation of the textbook, Lectures on Applied Mathematics Part I: Linear Algebra which can also be downloaded at http://rbowen.tamu.edu. This textbook evolved from my teaching an undergraduate Numerical Analysis course to Mechanical Engineering students at Texas A&M University. That course was one of the courses I was allowed to teach after my several years out of the classroom. It tries to utilize rigorous concepts in Linear Algebra in combination with the powerful computational tools of MATLAB to provide undergraduate students practical numerical analysis tools. It makes extensive use of MATLAB's graphics capabilities and, to a limited extent, its ability to animate the solutions of ordinary differential equations. It is not a textbook that tries to be comprehensive as a source of MATLAB information. It does contain a large number of links to MATLAB's extensive online resources. This information has been invaluable to me as this work was developed. The version of MATLAB used in the preparation of this textbook is MATLAB 2014b. This version implements a new graphics system. As a result, when earlier versions are utilized with this textbook, small changes in the script may be required to cause the script in the textbook to execute.
2015-03-24T00:00:00ZLectures on Applied Mathematics Part 1: Linear Algebrahttp://hdl.handle.net/1969.1/947722014-01-23T07:03:03Z2014-01-22T00:00:00ZLectures on Applied Mathematics Part 1: Linear Algebra
Chap. 1: Elementary Matrix Theory; Chap. 2: Vector Spaces;
Chap. 3: Linear Transformations;
Chap. 4: Vector Spaces with Inner Product; Chap. 5: Eigenvalue Problems; Chap. 6: Additional Topics Relating to Eigenvalue Problems
It is common for Departments of Mathematics to offer a junior-senior level course on Linear Algebra. This book represents one possible course. It evolved from my teaching a junior level course at Texas A&M University during the several years I taught after I served as President. I am deeply grateful to the A&M Department of Mathematics for allowing this Mechanical Engineer to teach their students.
This book is influenced by my earlier textbook with C.-C Wang, Introductions to Vectors and Tensors, Linear and Multilinear Algebra. This book is more elementary and is more applied than the earlier book. However, my impression is that this book presents linear algebra in a form that is somewhat more advanced than one finds in contemporary undergraduate linear algebra courses. In any case, my classroom experience with this book is that it was well received by most students. As usual with the development of a textbook, the students that endured its evolution are due a statement of gratitude for their help.
2014-01-22T00:00:00ZQuantifying the effect of land use and land cover changes on green water and blue water in northern part of Chinahttp://hdl.handle.net/1969.1/941732011-05-06T14:32:22Z2009-06-12T00:00:00ZQuantifying the effect of land use and land cover changes on green water and blue water in northern part of China
Changes in land use and land cover (LULC) have been occurring at an accelerated pace in northern parts of China. These changes are significantly impacting the hydrology of these parts, such as Laohahe Catchment. The hydrological effects of these changes occurring in this catchment were investigated using a semi-distributed hydrological model. The semi-distributed hydrological model was coupled with a two-source potential evaportranspiration (PET) model for simulating daily runoff. Model parameters were calibrated using hydrometeorological and LULC data for the same period. The LULC data were available for 1980, 1989, 1996 and 1999. Daily streamflow measurements were available from 1964 to 2005 and were divided into 4 periods: 1964–1979, 1980–1989, 1990–1999 and 2000–2005. These periods represented four different LULC scenarios. Streamflow simulation was conducted for each period under these four LULC scenarios. The results showed that the change in LULC influenced evapotranspiration (ET) and runoff. The LULC data showed that from 1980 to 1996 grass land and water body had decreased and forest land and crop land had increased. This change caused the evaporation from vegetation interception and vegetation transpiration to increase, whereas the soil evaporation tended to decrease. Thus during the period of 1964–1979 the green water or ET increased by 0.95%, but the blue water or runoff decreased by 8.71% in the Laohahe Catchment.
2009-06-12T00:00:00ZKinematic wave model for transient bed profiles in alluvial channels under nonequilibrium conditionshttp://hdl.handle.net/1969.1/941702011-05-06T14:32:22Z2007-12-27T00:00:00ZKinematic wave model for transient bed profiles in alluvial channels under nonequilibrium conditions
Transient bed profiles in alluvial channels are generally modeled using diffusion (or dynamic) waves and assuming equilibrium between detachment and deposition rates. Equilibrium sediment transport can be considerably affected by an excess (or deficiency) of sediment supply due to mostly flows during flash floods or floods resulting from dam break or dike failure. In such situations the sediment transport process occurs under nonequilibrium conditions, and extensive changes in alluvial river morphology can take place over a relatively short period of time. Therefore the study and prediction of these changes are important for sustainable development and use of river water. This study hence developed a mathematical model based on the kinematic wave theory to model transient bed profiles in alluvial channels under nonequilibrium conditions. The kinematic wave theory employs a functional relation between sediment transport rate and concentration, the shear-stress approach for flow transport capacity, and a relation between flow velocity and depth. The model satisfactorily simulated transient bed forms observed in laboratory experiments.
An edited version of this paper was published by AGU. Copyright 2007 American Geophysical Union.
2007-12-27T00:00:00Z