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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
An Introductory Guide to Computational Methods for the Solution of Physics Problems: With Emphasis on Spectral Methods

An Introductory Guide to Computational Methods for the Solution of Physics Problems: With Emphasis on Spectral Methods

Rawitscher, George
Dos Santos Filho, Victo
Peixoto, Thiago Carvalho

Paperback

Technology & EngineeringGeneral SciencePhysics

ISBN10: 3319427024
ISBN13: 9783319427027
Publisher: Springer Nature
Published: Oct 25 2018
Pages: 221
Weight: 0.75
Height: 0.51 Width: 6.14 Depth: 9.21
Language: English
This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for anysuch drawbacks.

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