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Engineering Book recommendation - Mech. Eng.

  1. Mar 21, 2015 #1
    Hi everyone,

    I'm currentyly doing my master in Control Systems (mechanical engineering), and since I'm nearly graduating I was contemplating at what I've learned so far. Upon doing so, I realized that there where some areas I seriously lack knowledge in areas that I assume are important.

    Therefore, I was wandering if someone could recommend me a book regarding:

    * Numerical Methods
    I often use the matlab ODE solvers, but I've no idea what's "under the hood". Hence, I'm looking for a book to bolster my numerical method skills, one that can teach me what's inside such a solver and how to build one myself (for when the matlab licence expires).


    * Partial Differential Equations
    Since almost everything I model, before simplification, is a PDE, I think a basic knowledge is advisable. Even if only to simulate the system and check that the simplification is indeed justified. Apart from that, I'm just very interested in this topic :-)


    Although googeling for books have yielded many results, I do not know which one suits my need/level, so that's why I'm looking for recommedations from engineers.

    With kind regards,
    Jo
     
  2. jcsd
  3. Mar 22, 2015 #2
    I like old books, and I would recommend Hildebrand's Numerical Analysis book.
     
  4. Mar 31, 2015 #3
    ODE and PDE solvers are very problem-dependent; their numerical behavior can vary to a large extent depending on particular physical properties on the original model. If, for example, you are interested in modeling of plates and/or shells, their mathematical models are often described by biharmonic PDEs. A special numerical method exists for such cases, call the Finite Element Method. You may want to have a look at the following book:
    http://members.ozemail.com.au/~comecau/quad_shell.htm
    There is also a page on amazon.com devoted to that book, with reviews:
    https://www.amazon.com/Computational-Geometry-Surfaces-Application-Analysis/dp/0646930818
     
    Last edited by a moderator: May 7, 2017
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