This book systematically studies upwind methods for initial value problems for scalar conservation laws in one- and multidimensions. The mathematical theory of convergence theory and of a priori error estimates is presented in detail for structure (finite difference methods) as well as for unstructured grids (finite volume methods). Higher order ...
The book concerns theoretical and numerical aspects of systems of conservation laws, which can be considered as a mathematical model for the flows of inviscid compressible fluids.Five leading specialists in this area give an overview of the recent results, which include: kinetic methods, non-classical shock waves, viscosity and relaxation methods, ...
Scientific computing, which involves the analysis of complex systems in real applications with numerical simulations, is an important area of research in itself, in relation to theoretical investigations and physical experiments. In many cases, the underlying mathematical models consist of large systems of partial differential equations, which ...
This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the Stuttgart High Performance Computing Center (HLRS) for the year 2007. The reports cover all fields of computational science and engineering, ranging from CFD and computational physics and chemistry to computer ...
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