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# TSALPHA
ODE/DAE solver using the implicit Generalized-Alpha method for first-order systems 


## References

- **** -*** K.E. Jansen, C.H. Whiting, G.M. Hulber, "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, 305-319, 2000.
DOI: 10.1016/S0045-7825(00)00203-6.
- **** -*** J. Chung, G.M.Hubert. "A Time Integration Algorithm for Structural
Dynamics with Improved Numerical Dissipation: The Generalized-alpha
Method" ASME Journal of Applied Mechanics, 60, 371:375, 1993.



## See Also
 [](ch_ts), `TS`, `TSCreate()`, `TSSetType()`, `TSAlphaSetRadius()`, `TSAlphaSetParams()`

## Level
beginner

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/alpha/alpha1.c.html#TSALPHA">src/ts/impls/implicit/alpha/alpha1.c</A>

## Examples
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex31.c.html">src/ts/tutorials/ex31.c</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/ts/impls/implicit/alpha/alpha1.c)


[Index of all TS routines](index.md)  
[Table of Contents for all manual pages](/manualpages/index.md)  
[Index of all manual pages](/manualpages/singleindex.md)