PatternFormer learns a parameter-to-solution-set operator by autoregressively generating latent solution fields, recovering multiple coexisting steady states of nonlinear PDEs in a single forward pass.
Matrix-oriented discretization methods for reaction–diffusion PDEs: comparisons and applications.Computers and Mathematics with Applications, 79: 2067–2085, 2020
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PatternFormer: Learning Multiple Solution Patterns in Reaction--Diffusion Systems
PatternFormer learns a parameter-to-solution-set operator by autoregressively generating latent solution fields, recovering multiple coexisting steady states of nonlinear PDEs in a single forward pass.