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Lecture Notes on Numerical Methods for Hyperbolic Equations (Hardcover)
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Lecture Notes on Numerical Methods for Hyperbolic Equations (Hardcover)
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This volume contains the lecture notes of the Short Course on
Numerical Methods for Hyperbolic Equations (Faculty of Mathematics,
University of Santiago de Compostela, Spain, 2-4 July 2011). The
course was organized in recognition of Prof. Eleuterio Toro's
contribution to education and training on numerical methods for
partial differential equations and was organized prior to the
International Conference on Numerical Methods for Hyperbolic
Equations: Theory and Applications, which honours Professor Toro in
the month of his 65th birthday. These lecture notes on selected
topics in numerical methods for hyperbolic equations are from
renowned academics in both theoretical and applied fields, and
include contributions on: -- Nonlinear hyperbolic conservation laws
-- First order schemes for the Euler equations -- High-order
accuracy: monotonicity and non-linear methods -- High-order schemes
for multidimensional hyperbolic problems -- A numerical method for
the simulation of turbulent mixing and its basis in mathematical
theory Lectures on Numerical Methods for Hyperbolic Equations is
intended primarily for research students and post-doctoral research
fellows.Some background knowledge on the basics of the theoretical
aspects of the partial differential equations, their physical
meaning and discretization methods is assumed. The Short Course you
are organizing not only matches perfectly well the problems I am
trying to address in my PhD but also provides a unique opportunity
to look at these challenges from the point of view of world class
leaders in the field of hyperbolic equations. (A. Warzynski,
University of Leeds, UK)
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