This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known.

This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions.

... nonlinear unsteady aerodynamic modeling using a surrogate - based recurrence framework . AIAA Journal , 48 ( 10 ) ... preserving H∞ performance . IEEE Transactions on Automatic Control , 43 ( 7 ) : 858–871 , 1998 . [ 283 ] D. E. ...

The collection features both well-established streams of research as well as novel areas and emerging fields of investigation.

Using important examples, this book showcases the potential of the latest data-based and data-driven methodologies for filter and control design.

This book is intended for graduates, postgraduates and researchers in the sciences and engineering, and also for users from other fields who have collected data and who wish to identify models to help to understand the dynamics of their ...

... Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains. Paperbackshop UK Import, 2013. → [16] J. Bongard and H. Lipson, Automated reverse engineering of nonlinear dynamical systems, Proc ...

Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward.

... data by sparse identification of nonlinear dynamical systems. Proc Natl Acad Sci U.S.A 113:3932–3937 11. Cavagna A ... driven granular fluids. Phys Rev Lett 102:098001 16. Flyvbjerg H (1998) Error estimates on averages of ...

This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells.