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math.NA2026
When does least-squares residual minimization solve a differential equation?
Carlos Esteve-Yagüe, Richard Tsai, Stanley Osher
Least-squares residual minimization approximates a differential equation through an optimization problem. This paper investigates the conditions required to transition from station…
math.NA2026
Solving Hamilton-Jacobi equations by residual minimization of monotone finite-difference discretizations
Olivier Bokanowski, Carlos Esteve-Yagüe, Richard Tsai
We introduce a method for solving Hamilton--Jacobi equations, both inviscid and viscous, by minimizing the squared residuals of monotone finite-difference discretizations on grids…