14 citations · 32 across the 12 of their papers we have counts for
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math.NA2025
Numerical reconstruction of Schrödinger equations with quadratic nonlinearities
Khaoula El Maddah, Matti Lassas, Teemu Tyni
We introduce a numerical framework for reconstructing the potential in two dimensional semilinear elliptic PDEs with power type nonlinearities from the nonlinear Dirichlet to Neuma…
math.AP2025
Gaussian beam interactions and inverse source problems for nonlinear wave equations
Matti Lassas, Tony Liimatainen, Valter Pohjola +1
We study the inverse source problem for the semilinear wave equation \[ (\Box_g + q_1)u + q_2 u^2 = F, \] on a globally hyperbolic Lorentzian manifold. We demonstrate that the coef…
math.NA2025
X-ray imaging from nonlinear waves: numerical reconstruction of a cubic nonlinearity
Suvi Anttila, Markus Harju, Teemu Tyni
We study an inverse boundary value problem for the nonlinear wave equation in dimensions. The objective is to recover an unknown potential from the associated Dir…