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Marked progresses have been made for propagation and inundation modeling, multi-physics simulations such as sediment transport modeling and real-time forecast and warning. During the last 10 years, tsunami numerical modeling has been improved, validated and applied to better predict tsunami’s behavior and impacts, with aids from the groundbreaking data of the 2011 Tohoku earthquake tsunami. The topic includes improvements in tsunami numerical modeling including multi-physics simulations, applications to source modeling, hazard assessment and real-time forecast and warning. This paper reviews achievements and findings from studies associated with numerical modeling of tsunami since the 2011 Tohoku earthquake, and addresses challenges for future advances. The instability and inhomogeneity in stress fields may play a major role in the nucleation of megathrust earthquakes. The seismicity in subduction zones may depend on the strength of the stress field as well as the lateral gradient in the stress field. The cumulative Coulomb stress changes for 120 years are comparable among subduction zones. Descendant large earthquakes dominantly occurred in the regions with large lateral gradients of cumulative Coulomb stress changes induced by precedent earthquakes. The cumulative Coulomb stress changes reach up to the order of tens to hundreds of bar at the convergent plate boundaries. The circum-Pacific region is divided by eight subregions. We stack the induced Coulomb stress changes for optimally oriented reverse faults. We assess the global stress perturbation induced by 1,636 earthquakes combining 1,457 earthquakes with moment magnitudes greater than or equal to (Formula presented.) 7.0 and 179 earthquakes with moment magnitudes (Formula presented.) 6.4–6.9 in 1900–2020. This study investigates the influence of precedent earthquakes on the induction of forthcoming earthquakes around the circum-Pacific plate boundaries. Local and regional earthquakes may modulate the stress environment fractionally that affects the nucleation of next earthquakes. Megathrust earthquake occurrence is dependent on the physical properties and stress environments of convergent plate boundaries. Davies, 2013), (d) plate speeds (Ide, 2013), (e) plate ages (Müller et al., 2008), (f) slab dipping angles (Gudmundsson & Sambridge, 1998), and (g) thermal parameters. We collect the source parameters (event magnitudes, fault lengths, fault widths, slip amounts) and focal mechanism solutions of large earthquakes in 1900-2020 from Global Centroid Moment Tensor (CMT) catalog (as well as available resources Asano et al., 2005 Baba et al., 2002 Courboulex et al., 1997 Elliott et al., 2010 Engdahl & Villaseñor, 2002 Fujii & Satake, 2013 Fukuyama & Irikura, 1986 Hartzell & Langer, 1993 Hayes, 2017 Hernandez et al., 2001 Ichinose et al., 2002Ichinose et al.,, 2003Ji et al., 2002 Johnson & Satake, 1999 Kobayashi & Koketsu, 2005 Lay et al., 2005 Mai & Thingbaijam, 2014 Mendoza, 1993Mendoza,, 1995Mendoza & Hartzell, 1989Mendoza et al., 1994 Moreno et al., 2010 Nagai et al., 2001 Okuwaki & Yagi, 2002 Ozawa et al., 2011 Plafker, 1965 Ross et al., (Kreemer et al., 2014), (c) heat flows (J. We divide the plate boundaries around the circum-Pacific seismic zone into eight subregions (Figure 2a).