The workshop is primarily based on the GNCS-funded project for 2026, "Approximation Theory and High-Performance Computing Techniques," and continues the legacy of the previous workshop, "Special Functions and Partial Differential Equations: Algorithms and Software Development," held in February 2025, making this its second edition.
The workshop aims to strengthen collaboration among researchers working in the field of special functions, fractional calculus, and numerical methods for differential equations, both on theoretical and computational aspects and on applications to real-world problems. Specifically, the topics covered include classical special functions and their generalizations; all aspects of fractional calculus, from analytical results to numerical simulations and modeling applications; and the theory and application of methods for ordinary differential equations and partial differential equations.
Specifically, the workshop aims to explore issues related to numerical methods for solving boundary value problems associated with partial differential equations, such as the numerical derivation of univariate functions and the interpolation of curves, or radial basis functions (RBFs). Finally, part of the research presented will focus on exploring the computational complexity and scalability of this tool, connecting it to high-performance computing (HPSC) resources.