implicit runge-kutta schemes for optimal control problems with evolution equations

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Page 1: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 1/25

Page 2: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 2/25

Page 3: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 3/25

Page 4: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 4/25

Page 5: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 5/25

Page 6: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 6/25

Page 7: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 7/25

Page 8: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 8/25

Page 9: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 9/25

Page 10: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 10/25

Page 11: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 11/25

Page 12: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 12/25

Page 13: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 13/25

Page 14: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 14/25

Page 15: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 15/25

Page 16: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 16/25

Page 17: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 17/25

Page 18: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 18/25

Page 19: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 19/25

Page 20: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 20/25

Page 21: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 21/25

Page 22: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 22/25

Page 23: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 23/25

Page 24: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 24/25

Page 25: Implicit Runge-Kutta schemes for optimal control problems with evolution equations

8/18/2019 Implicit Runge-Kutta schemes for optimal control problems with evolution equations

http://slidepdf.com/reader/full/implicit-runge-kutta-schemes-for-optimal-control-problems-with-evolution-equations 25/25