1 Table of Contents: “...1 Introduction and Motivation -- 2 Parametrized Differential Equations -- 3 Reduced Basis Methods...”

2 Subjects: “...Differential Equations...”

3 Subjects: “...Differential Equations...”

4 Subjects: “...Differential Equations...”

5 Subjects: “...differential equations...”

6 Subjects: “...ordinary differential equations...”

7 “... in the way uncertainty quantification problems in the partial differential equation setting are solved...”

8 “... modeling to different parametric partial differential equations problems with an increasing degree...”

9 “... partial differential equations also with sparse and noisy data in high-dimensional parameter spaces...”

10 “... and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential...”