Improvement of stability in moving particle semi‐implicit method

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Meshfree Methods: Progress Made after 20 Years (2017, unknown): “More recently, several stability enhancements have been proposed for this method (Ataie-Ashtiani and Farhadi 2006; Khayyer and Gotoh 2010, 2011; Kondo and Koshizuka 2011).”
Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, unknown): “The ECS scheme could be considered as an enhanced and updated version of the scheme proposed by Kondo and Koshizuka (2011).”
Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, methodology): “(28) proposed by Kondo and Koshizuka [44].”
Least squares moving particle semi-implicit method (2014, methodology): “A noteworthy feature of them is that they divide a continuum domain into discrete subdivision usually called mesh/grid, which requires connec- T. Tamai (B) · S. Koshizuka Graduate School of Engineering, The University of Tokyo, 7-3-1,Hongo, Bunkyo-ku, Tokyo 113-8656, Japan e-mail: tasuku@mps.q.t.u-t”
A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves (2016, background): “Khayyer et al. (2009) replaced the source term by a higher-order source term, while Kondo and Koshizuka (2011), Khayyer and Gotoh (2011), Khayyer and Gotoh (2013), Gotoh and Khayyer (2016) and Gotoh et al. (2014) introduced an error-compensating term (including a highorder main term and two…”