3 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…
math.NA2023
On iterative methods based on Sherman-Morrison-Woodbury splitting
Dimitrios Mitsotakis
We consider a new splitting based on the Sherman-Morrison-Woodbury formula, which is particularly effective with iterative methods for the numerical solution of large linear system…