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https://viurrspace.ca/bitstream/handle/10613/16537/Feb16-1901.pdf?sequence=2

https://viurrspace.ca/bitstream/handle/10613/22793/May23-1885.pdf?sequence=2&isAllowed=y

https://viurrspace.ca/bitstream/handle/10613/22862/Feb12-1887.pdf?sequence=2

https://viurrspace.ca/bitstream/handle/10613/19841/Aug24-1894.pdf?sequence=2

https://viurrspace.ca/bitstream/handle/10613/12338/Mar17-1921.pdf?sequence=2&isAllowed=y

I consider the model of a differentiated duopoly with process R&D when goods are either substitute, complements or independent. I propose a non-cooperative two-stage game with two firms producing differentiated goods. In the first stage, firms decide their technologies and in the second stage, they compete in quantities or prices. I evaluate the social welfare within a framework of Cournot and Bertrand competition models with or without investment in research and development. I prove that the Cournot price can be lower than Bertrand price when the R&D technology is relatively inefficient; thus, Cournot market structure can generate larger consumer's surplus and welfare.

For each site (referred to by its SSSI and GCR names) each major and/or significant cave system is inventoried by way of an annotated outline map and appropriate text. Particular attention is paid to the more important and/or extensive groups of calcite speleothems and also the notable sections of undisturbed clastic sediments where known or identified. For both materials, their present state (as of 2001) is noted, but any monitoring exercise will have to start with a more detailed description for reference purposes. Locations of all significant sediments and deposits are indicated on the outline surveys. The scientific value of many caves lies in their passage morphology, as carved into the solid limestone. With rare exceptions, these features are not fragile and are barely impacted from cavers' visits. The main features are identified in this report, but without any attempt or need to detail most of them with reference to any future monitoring. For each site, the overall geological and geomorphological values are outlined only briefly by way of introduction. The reader is referred to Volume 12 of the Geological Conservation Review (Waltham et al., 1997), which contains fully referenced descriptions and evaluations of the geomorphological evolution of the sites. The results of explorations and research since 1997 are summarised in appropriately greater detail. The only references cited are those that post-date 1997 or are not cited in the GCR volume's extensive bibliography. Within nearly all the sites there are many smaller caves and potholes that add collectively to the scientific value of the site. Except for any with special significance, these are not described in detail but are all listed in Table 1 and described in Barrington and Stanton, (1977) and in Limestones and Caves of Wales (Ford, 1989). In particular, many sites are only of archaeological interest, and these are noted in Table 1, but are not dealt with here, as in many cases the entire cave is of interest. Furthermore, many caves contain small patches of undisturbed sediment and odd stalagmite deposits, whose scientific value is hard to quantify. Commonly, a stalagmite deposit may have little aesthetic value (for example if covered in sediment), but its potential scientific value may not be revealed unless a specific study is undertaken. Only some of the caves included in this report have had proper detailed geomorphological surveys, and even these will not have identified or reported all the significant features.

The power system networks in North America and Europe are the largest man-made interconnected systems in the world. Many power system applications rely on time consuming dynamic simulations of large-scale power systems in order to optimize the operation and ensure the reliability of the electricity network. Dynamic simulations of power systems involve the solution of a series of initial value, stiff, hybrid DAE systems over a time window. To achieve this, the time window is discretized and a new DAE system is formed and solved at each time step, with initial values taken from the previous time step solution. At each new time step, the DAE system to be solved can be different because of the discrete variables involved in the formulation (e.g. a differential equation can become algebraic and vice versa). A non-overlapping domain decomposition is proposed to speed up the solution of the DAE system using the Schur Complement Method. The special structure of the physical system helps define the domain partitioning scheme and eliminates the need for a partitioning algorithm. It allows the formulation and solution of the reduced system using sparse, direct solvers to obtain the interface variables. Afterward, the parallel evaluation of the internal subdomain variables is possible and efficient load balancing is achieved. Numerically, the method shows no convergence degradation when compared to the integrated method, which is traditionally used for solving power system DAEs. The aspects of decomposition, solution and optimization of the algorithm for the specific problem are discussed and results from the application of the DDM on realistic power system models are presented.

https://viurrspace.ca/bitstream/handle/10613/14393/Nov07-1918.pdf?sequence=2&isAllowed=y