TSALPHA — PETSc 3.23.0 documentation

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# TSALPHA

ODE/DAE solver using the implicit Generalized-Alpha method [JWH00] [CH93] for first-order systems

## References

[CH93]

J. Chung and G. M. Hulbert. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-alpha method. Journal of Applied Mechanics, 60(2):371–375, 06 1993. URL: https://doi.org/10.1115/1.2900803, arXiv:https://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/60/2/371/5463014/371\_1.pdf, doi:10.1115/1.2900803.

[JWH00]

K.E. Jansen, C.H. Whiting, and G.M. Hulbert. A generalized-alpha method for integrating the filtered Navier–Stokes equations with a stabilized finite element method. Computer Methods in Applied Mechanics and Engineering, 190(3):305–319, 2000.

## See Also

TS: Scalable ODE and DAE Solvers, `TS`, `TSCreate()`, `TSSetType()`, `TSAlphaSetRadius()`, `TSAlphaSetParams()`

## Level

beginner

## Location

src/ts/impls/implicit/alpha/alpha1.c

## Examples

src/ts/tutorials/ex31.c

Index of all TS routines
Table of Contents for all manual pages
Index of all manual pages