Numerical Schemes for Conservation Laws (Wiley-Teubner Series, Advances in Numerical Mathematics)
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Book Description
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 schemes are also included. In the second part of the book the algorithms for scalar equations are generalized into systems of conversation laws in one- and multidimensions. The most powerful schemes for the discretization of systems are described and numerical examples are presented. In particular, local grid refinement has been taken into account. The initial boundary value problem is also considered for linear systems and nonlinear scalar conservation laws.
The publisher, John Wiley & Sons
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 schemes are also included. In the second part of the book the algorithms for scalar equations are generalized into systems of conversation laws in one- and multidimensions. The most powerful schemes for the discretization of systems are described and numerical examples are presented. In particular, local grid refinement has been taken into account. The initial boundary value problem is also considered for linear systems and nonlinear scalar conservation laws.
Numerical Schemes for Conservation Laws (Wiley-Teubner Series, Advances in Numerical Mathematics)
Numerical Schemes for Conservation Laws (Wiley-Teubner Series, Advances in Numerical Mathematics),Dietmar Kröner,John Wiley & Sons,0471967939,Applied,Boundary Value Problems,Conservation laws (Mathematics,Conservation laws (Mathematics),Dinosaurs & Prehistoric Creatures,Mathematics,Nature,Nature/Ecology,Numerical solutions,Partial Differential Equations,Applied mathematics,Differential equations,Mathematics / Applied
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