It has been shown by Novikov [Funct. Anal. Appl. 8, 236 (1974)], Dubrovin e t a l. [Russian Math. Surveys 31, 59 (1976)], Lax [Commun. Pure Appl. Math. 28, 141 (1975)], McKean and van Moerbeke [Inv.

burger_eqn.json: Example data related to the Burger Equation. wave_eqn.json: Example data related to the Wave Equation. To run the project, you can use the example notebooks in the src\solver ...

Abstract: This paper mainly discusses the application of multivariate Gaussian measure to KdV and Burgers equation. This paper used generalized polynomial chaos expansion (PCE) method and constructed ...

Many approximate solutions of the time-dependent Schrödinger equation can be formulated as exact solutions of a nonlinear Schrödinger equation with an effective Hamiltonian operator depending on the ...

Abstract: A numerical approach based on Gaussian Process Regression (GPR) is presented to predict the wavefield and estimate the model parameters of two dimensional (2D) acoustic wave equation with ...