1 Part I Basic concepts and examples of environmental and industrial interest.- 2 Motivation.- 3 Hyperbolic conservation laws. Basic concepts and examples.- 4 Types of solutions to hyperbolic systems of conservation laws.- 5 Biographical summary of Professor Peter Lax.- 6 Part II Finite volume methods applied to the hyperbolic conservation laws.- 7 1D hyperbolic linear systems.- 8 1D Non-linear hyperbolic systems.- 9 Biographical summary of Professor Sergei Konstantinovich Godunov.- 10 Part III MATLAB codes for the studied methods.- 11 Codes for the linear transport equation.- 12 Codes for the Burgers equation.- 13 Biographical summary of Professor Eleuterio Francisco Toro.
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