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Wiener–Hopf method has been conceived around 90 years ago and since then has shaped many areas of modern analysis. Recently, the method has received a new boost following the progress in matrix factorisation theory that was intensively discussed on the INI Programme "Bringing pure and applied analysis together via the Wiener-Hopf technique, its generalisations and applications" (link https://www.newton.ac.uk/event/wht/) in 2019. During the programme, new ideas and concepts have been identified and a direction of the further method development and its impactful applications have been determined and the Wiener–Hopf type methods enables researchers to solve numerous physical, natural technological and financial problems motivated by real world applications. This follow up Workshop will consider a progress made for last five years in both the theory and applications. In theoretical development, there has been significant progress towards numerical and approximate solutions to various classes of Wiener–Hopf and Riemann–Hilbert problems. The following topics will be discussed during the follow up Workshop: constructive factorisation effective approximate procedure stability analysis efficient numerical schemes and approaches In area of practical applications participants will address acoustics and aeroacoustics physics (fast dynamic processes in complex materials and structures e.g. metamaterials) elasticity and electromagnetism dynamic fracture and phase transition mechanisms problems from structural, mechanical, maritime and environmental engineering biomedicine and biophysics The aim of the follow up Workshop is not only to bring the community together again but to identify and target novel challenging problems arising on the interface between different disciplines. This extra focus will help boost the progress in those disciplines and will open new collaboration opportunities. This will build upon the progress made since the parent programme. We will make a particular effort to invite and integrate the young researchers giving them an opportunity to present.