Everybody knows the importance of reducing the risks of climate change. Reducing CO2 emissions and noise levels in aviation remains today and tomorrow a great challenge. Innovations in Research and Industry are crucial towards reaching climate neutrality for aviation and modern Transport by 2050. Now, halfway to the target, scientists and engineers are delivering results for a greener aviation in the fields of propulsion systems (1), aerostructures (2), aerodynamics (3) and disruptive aircraft configurations (4). These innovative technologies are candidates for integration into modern transport systems within the next two decades. A critical question for sustaining growth in the aviation sector is: are the current digital methods and tools in development including Artificial Intelligence (AI) sufficiently advanced for mastering new numerical methods and tools to provide solutions to new challenges contributing to a decarbonated environment? This STS (two hours format) will consist of Keynote lectures presenting innovative numerical solutions contributing to first priority challenges in climate neutrality in the fields of (1), (2), (3) and (4).