This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and...
This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including t...
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail.
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a contribution to the highl...
