**Session:** **Numerical Advances in Differential Equations**

The main aim of this session is to bring together researchers in the field of numerical methods for differential equations to present their recent results and exchange ideas for new developments in theory and related applications, with particular emphasis in areas such as ordinary and stochastic differential equations.

**Organizers:**

- Lidia Aceto,
*lidia.aceto@uniupo.it* - Carmela Scalone,
*carmela.scalone@univaq.it* - Zdzislaw Jackiewicz,
*jackiewicz@asu.edu*

**Talks:**

- P. Amodio,
*New Developments in the Numerical Solution of Sturm-Liouville Problems by High Order Finite Difference Schemes* - A. Andò,
*Convergence of the piecewise orthogonal collocation for computing periodic solutions of delay equations* - W. Auzinger,
*Adaptive Exponential Splitting* - S. Boscarino,
*Asymptotic preserving and asymptotic accurate schemes for hyperbolic systems with stiff hyperbolic or parabolic relaxation* - M. Braś,
*Search for implicit-explicit general linear methods with inherent Runge-Kutta stability* - D. Breda,
*Numerical computation of the basic reproduction number* - D. Conte,
*Multivalue numerical methods for stiff differential problems* - F.V. Difonzo,
*A numerical procedure for fractional-time-space differential equations with the spectral fractional Laplacian* - S. Di Giovacchino,
*Numerical conservations features of stochastic Hamiltonian systems* - C. Elia,
*Synchronous periodic orbits of PWS networks: theoretical and numerical aspects for asymptotic stability* - G. Giordano,
*Perturbative analysis of numerical discretization to stochastic Hamiltonian problems* - S. González Pinto,
*PDE-convergence of AMF-W methods for parabolic problems* - D. Hernández-Abreu,
*Generalized TASE-RK methods for stiff problems with application to the numerical solution of parabolic PDEs* - F. Iavernaro,
*A new framework for polynomial approximation to differential equations* - G. Izzo,
*Self Starting General Linear Methods for Ordinary Differential Equations* - D. Liessi,
*Investigating the stability of periodic neutral renewal equations via Floquet multipliers* - F. Mazzia,
*A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles* - P. Novati,
*On the computation of fractional power of operators* - G. Pagano,
*An extension of nonstandard finite differences with application to a vegetation model* - S.F. Pellegrino,
*Non-periodic spectral method for a nonlinear peridynamic model* - F. Pitolli,
*Numerical solution of the fractional diffusion equation by spline approximations* - L. Rández,
*Runge-Kutta schemes for the numerical solution of linear inhomogeneous IVPs* - C. Scalone,
*On the destabilisation linear stochastic differential systems with non-normal drift* - G. Settanni,
*Potentiality of the code HOFiD_bvp in solving different kind of second order bounday value problems* - I. Sgura,
*Matrix-Oriented Discretization Methods for Evolutionary Problems* - R. Vermiglio,
*Pseudospectral approximation of characteristic roots of equations with infinite delay* - E.B. Weinmüller,
*Effcient Approximation of Singular BVPs in ODEs* - M. Zennaro,
*On the minimum growth rate of solutions to linear switched systems*