Aref Jeribi Bücher

Focusing on finite element methods, this book serves as a comprehensive resource for graduate students and researchers in applied mathematics, physics, and engineering. It covers the nodal method for various geometries, explores error estimation between exact and approximate solutions, and addresses the approximation of positive symmetric first-order systems. Additionally, it delves into continuous and discontinuous approximation methods tailored for the transport equation, culminating in linear systems that facilitate practical applications.

Focusing on spectral theory, this volume delves into linear operators on Banach spaces, exploring essential spectra and their generalizations. It offers a thorough survey of significant results related to different types of essential spectra, making it a valuable resource for those studying this advanced mathematical field.

Focusing on spectral theory, this book explores key topics such as the completeness of generalized eigenvectors, Riesz bases, and semigroup theory. It addresses recent advancements in perturbed non-self-adjoint operators, including their eigenvalue behavior and applications in physical problems like sound radiation from vibrating plates. The content is designed for students and researchers in spectral theory, pure analysts, and mathematicians, offering a blend of theoretical insights and practical implications in mathematical physics and mechanics.