Finite Difference Computing with PDEs: A Modern Software Approach

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Title

Finite Difference Computing with PDEs: A Modern Software Approach

Subject

Finite Difference Computing

Description

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

Creator

Hans Petter Langtangen ---, Svein Linge

Source

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

Publisher

Spingger

Date

2017

Contributor

Baihaqi

Rights

Creative Commons

Format

PDF

Language

English

Type

Textbooks

Files

Citation

Hans Petter Langtangen ---, Svein Linge, “Finite Difference Computing with PDEs: A Modern Software Approach,” Open Educational Resource (OER) - USK Library, accessed July 15, 2024, http://uilis.usk.ac.id/oer/items/show/3153.

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