Numerical methods for conservation laws and related equations

Numerical methods for conservation laws and related equations

These notes present numerical methods for conservation laws and related time dependent nonlinear partial differential equations. The focus is on both simple scalar problems as well as multi dimensional systems.

Author(s): Siddhartha Mishra

103 Pages

Lecture Notes on Hyperbolic Conservation Laws

These notes provide an introduction to the theory of hyperbolic systems of conservation laws in one space dimension.

Author(s): Alberto Bressan

84 Pages

Conservation Laws PDF 179P

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Author(s): NA

NA Pages

Applications Of Variational Principles To Dynamics And Conservation Laws In Physics (PDF 24P)

This note covers the following topics: introduction, calculus of variations basics, the action, Lagrangian and lagrangian density, particles, fields, canonical variables, the euler-lagrange equations and dynamics in particles, fields, Noether's theorem and conservation laws.

Author(s): Daniel J Older

24 Pages

Viscous Conservation Laws Scalar Laws (PDF 78P)

This note covers the following topics: Hyperbolic conservation laws, stability of hyperbolic waves, heat equation, burgers waves, burgers greens functions, stability of diffusion waves, stability of shock waves, estimates of the greens function, stability of rarefaction waves, stability of rarefaction waves.

Author(s): Tai-ping Liu, Shih-hsien Yu and Yanni Zeng

78 Pages

Class Notes Conservation Laws

This note covers the following topics: Conserved Quantities, Energy and Momentum, Charge, Angular Momentum, Particle categories, Leptons and Lepton Number, Baryons and Baryon Number.

Author(s): Maurice Barnhill

NA Pages

Lectures in Symmetries and Conservation Laws

This note covers the following topics: Groups, Clebsch Gordon coeffs, Hadrons States and Consequences of Group Theory.

Author(s): Stephen Haywood

NA Pages

Conservation Laws [PDF]

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Author(s): NA

NA Pages