Abstract Systems of reaction–diffusion partial differential equations (RD-PDEs) are widely
applied for modeling life science and physico-chemical phenomena. In particular, the …

Riccati differential equations arise in many different areas and are particularly important
within the field of control theory. In this paper we consider numerical integration for large …

A large class of differential Riccati equations (DREs) satisfy positivity property in the sense
that the time-dependent solution preserves for any time its symmetric and positive …

This thesis is concerned with the low-rank approximation of time-dependent high-
dimensional matrices and tensors that can be given explicitly or are the unknown solution to …

In this paper a nonlinear Euler-Poisson-Darboux system is considered. In a first part, we
proved the genericity of the hypergeometric functions in the development of exact solutions …

In this paper, we consider a modified Douglas splitting method for a class of differential
matrix equations, including differential Lyapunov and differential Riccati equations. The …