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tst_backward_euler


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 -- Function File: [OUT,NITER] = tst_backward_euler(CIRSTRUCT,X,T,TOL,
          MAXIT,PLTVARS,VERBOSITY,DAE_FUN)

     Perform a transient simulation of the system described by CIRSTRUCT over
     the time interval T using the backward Euler algorithm.

     The initial value for the state vector is computed by solving a steady
     state problem at T(1), with starting guess X.

     TOL and MAXIT are parameters passed to ‘nls_newton_raphson’.

     The output OUT will contain the value of the state vector at each point of
     T.

     The optional parameter VERBOSITY controls the amount of output produced:

        − if verbosity(1) != 0, information on the progress of the algorithm are
          output at runtime
        − if verbosity(2) != 0, the plot of the variables whose names are listed
          in PLTVARS is produced after the computation

     For special purposes one may need to pass modified jacobian and residual
     functions.  This can be done via the cell array of function handles
     DAE_FUN.

     Such functions should have the same input and output parameter list as the
     default sub-functions TSTBWEFUNJAC0,TSTBWEFUNRES0,
     TSTBWEFUNJAC,TSTBWEFUNRES.

     The optional output NITER returns the number of Newton iterations needed to
     reach convergence.

     See also: tst_daspk,tst_theta_method,tst_odepkg,nls_newton_raphson.


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Perform a transient simulation of the system described by CIRSTRUCT over the
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tst_daspk


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 -- Function File: [OUT] = tst_daspk (CIRSTRUCT,X,T,TOL,MAXIT,
          PLTVARS,VERBOSITY,DASKOPTS,DAE_FUN);

     Perform a transient simulation of the system described by CIRSTRUCT over
     the time interval T using ‘daspk’.

     The initial value for the state vector is computed by solving a steady
     state problem at T(1), with starting guess X.

     TOL and MAXIT are parameters passed to ‘nls_newton_raphson’.

     The output OUT will contain the value of the state vector at each point of
     T.

     Extra options for ‘daspk’ can be passed as name/value pairs in the
     cellarray DASKOPTS.

     The optional parameter VERBOSITY controls the amount of output produced:

        − if verbosity(1) != 0, information on the progress of the algorithm are
          output at runtime
        − if verbosity(2) != 0, the plot of the variables whose names are listed
          in PLTVARS is produced after the computation

     For special purposes one may need to pass modified jacobian and residual
     functions.  This can be done via the cell array of function handles
     DAE_FUN.

     Such functions should have the same input and output parameter list as the
     default sub-functions TSTBWEFUNJAC0,TSTBWEFUNRES0,
     TSTBWEFUNJAC,TSTBWEFUNRES.

     See also:
     tst_backward_euler,tst_odepkg,tst_theta_method,nls_newton_raphson,daspk.


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tst_odepkg


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 -- Function File: [OUT, [TOUT]] = tst_odepkg (CIRSTRUCT,X,T,TOL,MAXIT,
          PLTVARS,SOLVER,ODESTRUCT,VERBOSITY);

     Perform a transient simulation of the system described by CIRSTRUCT over
     the time interval T using the ‘odepkg’ DAE solver specified in SOLVER.

     Pssible values for SOLVER are ‘ode2r’, ‘ode5r’, ‘oders’ or ‘odesx’.

     The initial value for the state vector is computed by solving a steady
     state problem at T(1), with starting guess X.

     TOL and MAXIT are parameters passed to ‘nls_newton_raphson’.

     If one output is requested OUT will contain the value of the state vector
     at each point of T.

     If two outputs are requested OUT will contain the value of the state vector
     at each point of TOUT.

     Extra options for options for the solver can be passed to the solver via
     ODESTRUCT.

     The optional parameter VERBOSITY controls the amount of output produced:

        − if verbosity(1) != 0, information on the progress of the algorithm are
          output at runtime
        − if verbosity(2) != 0, the plot of the variables whose names are listed
          in PLTVARS is produced after the computation

     See also:
     tst_backward_euler,tst_theta_method,tst_daspk,nls_newton_raphson,odepkg,odeset,@
     ode2r,ode5r,oders,odesx.


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tst_theta_method


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 -- Function File: [OUT,NITER] = tst_theta_method (CIRSTRUCT,X,T,TOL,
          MAXIT,THETA,PLTVARS, VERBOSITY);

     Perform a transient simulation of the system described by CIRSTRUCT over
     the time interval T using the theta-method with parameter THETA.

     The initial value for the state vector is computed by solving a steady
     state problem at T(1), with starting guess X.

     TOL and MAXIT are parameters passed to ‘nls_newton_raphson’.

     The output OUT will contain the value of the state vector at each point of
     T.

     The optional parameter VERBOSITY controls the amount of output produced:

        − if verbosity(1) != 0, information on the progress of the algorithm are
          output at runtime
        − if verbosity(2) != 0, the plot of the variables whose names are listed
          in PLTVARS is produced after the computation

     The optional output NITER returns the number of Newton iterations needed to
     reach convergence.

     See also: tst_backward_euler,tst_daspk,tst_odepkg,nls_newton_raphson.


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