Verified Computations using Taylor Models and Their Applications.- Introduction to the IEEE 1788-2015 Standard for Interval Arithmetic.- Formal Correctness of Comparison Algorithms between binary64 and decimal64 Floating-Point Numbers.- Sound Numerical Computations in Abstract Acceleration.- Studying the numerical quality of an industrial computing code: a case study on Code_Aster.- Challenges and Tool Implementation of Hybrid Rapidly-Exploring Random Trees.- Rigorous Reachability Analysis and Domain Decomposition of Taylor Models.- A Study of Model-Order Reduction Techniques for Verification.