Visualisation methods such as t-SNE and UMAP are widely used in research, yet they often lead to misinterpretations due to distortion. The authors introduce a statistical framework to detect ...

The governing nonlinear ordinary differential equations representation is fixed numerically by the weighted residual method (Galerkin method) The computed results are visualized graphically, and the ...

However, the problem of resonances and their corrections remains a critical pitfall of perturbative methods. Recent works have highlighted the sensitivity of band intensities to even subtle resonance ...

A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, ...

West Virginia University researchers are changing how college mathematics is taught by evaluating and sharing a model for ...

Today, people use complex computing networks to search for prime numbers with millions of digits. But early mathematicians ...

In collaboration with Chicago Booth, the Master’s Program in Computer Science (MPCS) offers a distinctive joint MBA/MPCS ...

SEAS will continue to offer concurrent master’s programs in Applied Math, Applied Physics, Computer Science, and Environmental Science and Engineering. —Staff writer Xinni (Sunshine ...

The existence of a small parameter in the wave equation (as a factor multiplying the time derivative) suggests the idea of applying a singular perturbation method to get the stability of the full ...

a significant optimal energy control is proposed, and existence and uniqueness of the optimal energy control are demonstrated. Eventually, an approximation theorem for minimum energy control is proved ...

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary ...

Centre d'analyse et Mathématique Sociales (CAMS, UMR 8557, CNRS EHESS), École des Hautes études en sciences sociales, 54, bd Raspail F-75270 Paris Cedex 06, France Centre d'analyse et Mathématique ...