Finite Difference Computing with PDEs: A Modern Software Approach

Finite Difference Computing with PDEs: A Modern Software Approach

Finite Difference Computing

Vibration problems lead to differential equations with solutions that oscillate in time, typically in a damped or undamped sinusoidal fashion. Such solutions put certain demands on the numerical methods compared to other phenomena whose solutions are monotone or very smooth. Both the frequency and amplitude of the oscillations need to be accurately handled by the numerical schemes. The forthcoming text presents a range of different methods, from classical ones (Runge-Kutta and midpoint/Crank-Nicolson methods), to more modern and popular symplectic (geometric) integration schemes (Leapfrog, Euler-Cromer, and Störmer-Verlet methods), but with a clear emphasis on the latter

Hans Petter Langtangen ---, Svein Linge

https://link.springer.com/content/pdf/10.1007%2F978-3-319-55456-3.pdf

Spingger

2017

Baihaqi

Creative Commons

PDF

English

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