Scientific Computing and Software

This volume presents a curated collection of contributions from the Go20 Conference on Scientific Computing and Software, held May 20–24, 2024, in Gozo, Malta. Go20 is an exclusive, invitation-only event limited to 20 participants, designed to foster deep exchange among leading experts from academia, industry, and the public sector. With no parallel sessions and 45-minute talks by every attendee, the conference offers an intensive forum for sharing cutting-edge research. All papers included in this proceedings underwent rigorous peer review. The topics reflect the forefront of scientific computing, emphasizing both theoretical advances and their realization in software—bridging abstract algorithms with practical implementation. Areas of focus include: Perturbations and backward error analysis Domain decomposition techniques Superconvergence of non-stiffly accurate implicit Runge–Kutta methods for index-2 DAEs Parallel-in-time spectral deferred correction and collocation methods Computational approaches for physiological dysfunctions and clinical medicine Parameter estimation for multidimensional stochastic differential equations Novel operator-splitting and fractional-step methods for real and complex PDEs These contributions advance the rapidly evolving field of scientific computing, addressing challenges with profound societal impact—from healthcare and medicine to climate modeling and data-driven decision-making. By highlighting the interplay between theory and software, this book serves as a valuable resource for researchers seeking insight into state-of-the-art methods and their practical applications. Researchers and practitioners in scientific computing, numerical analysis, and applied mathematics—both academic and non-academic—will find this volume an essential reference for the latest developments in algorithms and software for differential equations and linear systems.