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# TSInterpolate
Interpolate the solution computed during the previous step to an arbitrary location in the interval 
## Synopsis
```
#include "petscts.h"  
PetscErrorCode TSInterpolate(TS ts, PetscReal t, Vec U)
```
Collective


## Input Parameters

- ***ts -*** time stepping context
- ***t -*** time to interpolate to



## Output Parameter

- ***U -*** state at given time





## Developer Note
`TSInterpolate()` and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.


## See Also
 [](ch_ts), `TS`, `TSSetExactFinalTime()`, `TSSolve()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/interface/ts.c.html#TSInterpolate">src/ts/interface/ts.c</A>

## Examples
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex16.c.html">src/ts/tutorials/ex16.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex19.c.html">src/ts/tutorials/ex19.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex20.c.html">src/ts/tutorials/ex20.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex20adj.c.html">src/ts/tutorials/ex20adj.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex20fwd.c.html">src/ts/tutorials/ex20fwd.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex20opt_ic.c.html">src/ts/tutorials/ex20opt_ic.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/tutorials/ex20opt_p.c.html">src/ts/tutorials/ex20opt_p.c</A><BR>

## Implementations

<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/arkimex/arkimex.c.html#TSInterpolate_ARKIMEX">TSInterpolate_ARKIMEX in src/ts/impls/arkimex/arkimex.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/bdf/bdf.c.html#TSInterpolate_BDF">TSInterpolate_BDF in src/ts/impls/bdf/bdf.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/eimex/eimex.c.html#TSInterpolate_EIMEX">TSInterpolate_EIMEX in src/ts/impls/eimex/eimex.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/explicit/euler/euler.c.html#TSInterpolate_Euler">TSInterpolate_Euler in src/ts/impls/explicit/euler/euler.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/explicit/rk/rk.c.html#TSInterpolate_RK">TSInterpolate_RK in src/ts/impls/explicit/rk/rk.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/glee/glee.c.html#TSInterpolate_GLEE">TSInterpolate_GLEE in src/ts/impls/glee/glee.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/alpha/alpha1.c.html#TSInterpolate_Alpha">TSInterpolate_Alpha in src/ts/impls/implicit/alpha/alpha1.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/alpha/alpha2.c.html#TSInterpolate_Alpha">TSInterpolate_Alpha in src/ts/impls/implicit/alpha/alpha2.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/discgrad/tsdiscgrad.c.html#TSInterpolate_DiscGrad">TSInterpolate_DiscGrad in src/ts/impls/implicit/discgrad/tsdiscgrad.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/irk/irk.c.html#TSInterpolate_IRK">TSInterpolate_IRK in src/ts/impls/implicit/irk/irk.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/sundials/sundials.c.html#TSInterpolate_Sundials">TSInterpolate_Sundials in src/ts/impls/implicit/sundials/sundials.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/implicit/theta/theta.c.html#TSInterpolate_Theta">TSInterpolate_Theta in src/ts/impls/implicit/theta/theta.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/mimex/mimex.c.html#TSInterpolate_Mimex">TSInterpolate_Mimex in src/ts/impls/mimex/mimex.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/rosw/rosw.c.html#TSInterpolate_RosW">TSInterpolate_RosW in src/ts/impls/rosw/rosw.c</A><BR>
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/ts/impls/symplectic/basicsymplectic/basicsymplectic.c.html#TSInterpolate_BasicSymplectic">TSInterpolate_BasicSymplectic in src/ts/impls/symplectic/basicsymplectic/basicsymplectic.c</A><BR>


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[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/ts/interface/ts.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)