Principles of Classical Mechanics

Part of the Scientific Computation book series (SCIENTCOMP)


In this chapter, we will present some important concepts of classical mechanics.

For further reading about the following discussion on classical mechanics, one should consider the book by Goldstein (2002).

Although Newton’s equations of motion are often used as a start to understanding the basis of molecular dynamics method presented in the next chapters, many other advanced simulation techniques use the Lagrangian and Hamiltonian formalism of classical mechanics.


  1. Goldstein, H.: Classical Mechanics, 2nd edn. Addison-Wesley, San Francisco (2002)zbMATHGoogle Scholar
  2. Tuckerman, M.E., Mundy, C.J., Martyna, G.J.: On the classical statistical mechanics of non-Hamiltonian systems. Europhys. Lett. 45, 149–155 (1999)ADSCrossRefGoogle Scholar
  3. Tuckerman, M.E., Liu, Y., Ciccotti, G., Martyna, G.J.: Non-Hamiltonian molecular dynamics: generalizing Hamiltonian phase space principles to non-Hamiltonian systems. J. Chem. Phys. 115(4), 1678–1702 (2001)ADSCrossRefGoogle Scholar

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Authors and Affiliations

  1. 1.Computer EngineeringInternational Balkan UniversitySkopjeNorth Macedonia
  2. 2.Advanced Computing Research CenterUniversity of New York TiranaTiranaAlbania

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