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<html>
<title>TS</title><body bgcolor="FFFFFF">
<div id="version" align=right><b>petsc-3.7.5 2017-01-01</b></div>
<div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.7.5 v3.7.5 docs/manualpages/concepts/ts.html "><small>Report Typos and Errors</small></a></div>
<h2>TS</h2>
<menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex1.c.html"><CONCEPT>pseudo-timestepping</CONCEPT></A>
<menu>
Solves the time independent Bratu problem using pseudo-timestepping.</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex1f.F.html"><CONCEPT>pseudo-timestepping</CONCEPT></A>
<menu>
<BR>
Solves the time dependent Bratu problem using pseudo-timestepping<BR>
<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex1.c.html"><CONCEPT>nonlinear problems</CONCEPT></A>
<menu>
Solves the time independent Bratu problem using pseudo-timestepping.</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex1f.F.html"><CONCEPT>nonlinear problems</CONCEPT></A>
<menu>
<BR>
Solves the time dependent Bratu problem using pseudo-timestepping<BR>
<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16adj.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16opt_ic.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16opt_p.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex19.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves the van der Pol DAE.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex2.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves a time-dependent nonlinear PDE. Uses implicit<BR>timestepping. Runtime options include:<BR>
-M <xg>, where <xg> = number of grid points<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20adj.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR></menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20opt_ic.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.<BR></menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20opt_p.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex21.c.html"><CONCEPT>time-dependent nonlinear problems</CONCEPT></A>
<menu>
Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit<BR>timestepping. Runtime options include:<BR>
-M <xg>, where <xg> = number of grid points<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
-ul : lower bound<BR>
-uh : upper bound<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex3.c.html"><CONCEPT>time-dependent linear problems</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex4.c.html"><CONCEPT>time-dependent linear problems</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex5.c.html"><CONCEPT>time-dependent linear problems</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex6.c.html"><CONCEPT>time-dependent linear problems</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex3.c.html"><CONCEPT>heat equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex4.c.html"><CONCEPT>heat equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex5.c.html"><CONCEPT>heat equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex6.c.html"><CONCEPT>heat equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex3.c.html"><CONCEPT>diffusion equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex4.c.html"><CONCEPT>diffusion equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex5.c.html"><CONCEPT>diffusion equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex6.c.html"><CONCEPT>diffusion equation</CONCEPT></A>
<menu>
Solves a simple time-dependent linear PDE (the heat equation).<BR>Input parameters include:<BR>
-m <points>, where <points> = number of grid points<BR>
-time_dependent_rhs : Treat the problem as having a time-dependent right-hand side<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16.c.html"><CONCEPT>van der Pol equation</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16adj.c.html"><CONCEPT>van der Pol equation</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16opt_ic.c.html"><CONCEPT>van der Pol equation</CONCEPT></A>
<menu>
Solves an ODE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16opt_p.c.html"><CONCEPT>van der Pol equation</CONCEPT></A>
<menu>
Solves an ODE-constrained optimization problem -- finding the optimal stiffness parameter for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex19.c.html"><CONCEPT>van der Pol DAE</CONCEPT></A>
<menu>
Solves the van der Pol DAE.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20.c.html"><CONCEPT>van der Pol equation DAE equivalent</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20adj.c.html"><CONCEPT>van der Pol equation DAE equivalent</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR></menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20opt_ic.c.html"><CONCEPT>van der Pol equation DAE equivalent</CONCEPT></A>
<menu>
Solves a DAE-constrained optimization problem -- finding the optimal initial conditions for the van der Pol equation.<BR></menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20opt_p.c.html"><CONCEPT>van der Pol equation DAE equivalent</CONCEPT></A>
<menu>
Solves the van der Pol equation.<BR>Input parameters include:<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex21.c.html"><CONCEPT>Variational inequality nonlinear solver</CONCEPT></A>
<menu>
Solves a time-dependent nonlinear PDE with lower and upper bounds on the interior grid points. Uses implicit<BR>timestepping. Runtime options include:<BR>
-M <xg>, where <xg> = number of grid points<BR>
-debug : Activate debugging printouts<BR>
-nox : Deactivate x-window graphics<BR>
-ul : lower bound<BR>
-uh : upper bound<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex26.c.html"><CONCEPT>solving a system of nonlinear equations (parallel multicomponent example);</CONCEPT></A>
<menu>
Transient nonlinear driven cavity in 2d.<BR> <BR>
The 2D driven cavity problem is solved in a velocity-vorticity formulation.<BR>
The flow can be driven with the lid or with bouyancy or both:<BR>
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid<BR>
-grashof <gr>, where <gr> = dimensionless temperature gradent<BR>
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio<BR>
-contours : draw contour plots of solution<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex26.c.html"><CONCEPT>multicomponent</CONCEPT></A>
<menu>
Transient nonlinear driven cavity in 2d.<BR> <BR>
The 2D driven cavity problem is solved in a velocity-vorticity formulation.<BR>
The flow can be driven with the lid or with bouyancy or both:<BR>
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid<BR>
-grashof <gr>, where <gr> = dimensionless temperature gradent<BR>
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio<BR>
-contours : draw contour plots of solution<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex26.c.html"><CONCEPT>differential-algebraic equation</CONCEPT></A>
<menu>
Transient nonlinear driven cavity in 2d.<BR> <BR>
The 2D driven cavity problem is solved in a velocity-vorticity formulation.<BR>
The flow can be driven with the lid or with bouyancy or both:<BR>
-lidvelocity <lid>, where <lid> = dimensionless velocity of lid<BR>
-grashof <gr>, where <gr> = dimensionless temperature gradent<BR>
-prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio<BR>
-contours : draw contour plots of solution<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex31.c.html"><CONCEPT>ex31.c</CONCEPT></A>
<menu>
Solves the ordinary differential equations (IVPs) using explicit and implicit time-integration methods.<BR></menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex16adj.c.html"><CONCEPT>adjoint sensitivity analysis</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR>Input parameters include:<BR>
-mu : stiffness parameter<BR>
</menu>
<LI><A HREF="../../../src/ts/examples/tutorials/ex20adj.c.html"><CONCEPT>adjoint sensitivity analysis</CONCEPT></A>
<menu>
Performs adjoint sensitivity analysis for the van der Pol equation.<BR></menu>
</menu>
</body>
</html>
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