5 papers
Efficient Computation of Arbitrary-Order Directional Derivatives in Multiple Directions via Generalized Dual Numbers
F. Peñuñuri, K. B. Cantún-Avila, O. Carvente +1
Arbitrary-order directional derivatives along multiple (possibly distinct) directions are computed through a generalized dual-number formulation for both scalar- and vector-valued…
Dual Numbers for Arbitrary Order Automatic Differentiation
F. Peñuñuri, K. B. Cantún-Avila, R. Peón-Escalante
Dual numbers are a well-established tool for computing derivatives and constitute the basis of forward-mode automatic differentiation. While the theoretical framework for computing…
Future Circular Collider Feasibility Study Report: Volume 2, Accelerators, Technical Infrastructure and Safety
M. Benedikt, F. Zimmermann, B. Auchmann +1461
In response to the 2020 Update of the European Strategy for Particle Physics, the Future Circular Collider (FCC) Feasibility Study was launched as an international collaboration ho…
Future Circular Collider Feasibility Study Report: Volume 3, Civil Engineering, Implementation and Sustainability
M. Benedikt, F. Zimmermann, B. Auchmann +1461
Volume 3 of the FCC Feasibility Report presents studies related to civil engineering, the development of a project implementation scenario, and environmental and sustainability asp…
Future Circular Collider Feasibility Study Report: Volume 1, Physics, Experiments, Detectors
M. Benedikt, F. Zimmermann, B. Auchmann +1461
Volume 1 of the FCC Feasibility Report presents an overview of the physics case, experimental programme, and detector concepts for the Future Circular Collider (FCC). This volume o…