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From 15th ISeminar 2011/12 Operator Semigroups for Numerical Analysis
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Lecture 1:
What is the Topic of this Course?
Lecture 2:
Fundamentals of One-Parameter Semigroups
Lecture 3:
Approximation of Semigroups - Part 1
Lecture 4:
The Lax Equivalence Theorem
Lecture C:
Exercises
Lecture 5:
Approximation of Semigroups - Part 2
Lecture 6:
The Lumer-Phillips Theorem
Lecture 7:
Complex Powers of Closed Operators
Lecture 8:
Intermediate Spaces
Lecture 9:
Analytic Semigroups
Lecture 10:
Operator Splitting
Lecture 11:
Operator Splitting with Discretisations
Lecture 12:
Rational Approximations
Lecture 13:
Rational Approximations and Analytic Semigroups
Lecture 14:
Outlook
Appendix A :
Basic Space Discretisation Methods
Appendix B :
Basic Time Discretisation Methods
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