In this chapter we study one of the fundamental problems of numerical analysis, namely the numerical solutions of nonlinear equations. Most equations arising in practice are nonlinear and are rarely ...

Researchers at the University of Tsukuba have created a new method for deriving approximate linear equations to complicated nonlinear problems. Using simulation results, they show that the model ...

Providing an introduction to the vast subject of initial and initial-boundary value problems for PDEs, this invaluable text explains what well-posedness or ill-posedness means and how it can be ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...