Full Description
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.
Contents
Chapter 1 Structured backward error for the WKB method: Part I: Problems Without Turning Points.- Chapter 2 Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction.- Chapter 3 A Piecewise Deterministic Approach for Parameter Estimation in Multi-Dimensional Stochastic Differential Equations.- Chapter 4 Impact of spatial coarsening on Parareal convergence for the linear advection equation.- Chapter 5 Seven things I would have liked to know when starting to work on Domain Decomposition.
