This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

This multidisciplinary book provides a systematic introduction to the analysis of passive sensor array imaging using ambient noise sources.

Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.

Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.

This book, meant for graduate students and researchers, explores the connections between numerical approximation and statistical inference from a game and decision theoretic perspective, and illustrates these interplays by addressing problems related to numerical homogenization, operator adapted wavelets, and fast solvers.