2 papers
math.NA2023
The complex-step Newton method and its convergence
Dimitrios Mitsotakis
Considered herein is a modified Newton method for the numerical solution of nonlinear equations where the Jacobian is approximated using a complex-step derivative approximation. We…
math.AP2023
Mechanical balance laws for two-dimensional Boussinesq systems
Chourouk El Hassanieh, Samer Israwi, Henrik Kalisch +2
Most of the asymptotically derived Boussinesq systems of water wave theory for long waves of small amplitude fail to satisfy exact mechanical conservation laws for mass, momentum a…