Luis Caffarelli has been awarded the most prestigious prize in mathematics for his work on nonlinear partial differential equations, which have many applications in the real world ...

We compare the Ostrowski efficiency of some methods for solving systems of nonlinear equations without explicitly using derivatives. The methods considered include the discrete Newton method, ...

We propose and analyze a numerical method for solving the nonlinear Poisson equation −Δu = f (·, u) on the unit disk with zero Dirichlet boundary conditions. The problem is reformulated as a nonlinear ...