*Edited by Bruno Carpentieri*

Tis book contains well-writen monographs within the broad spectrum of applied mathematics, ofering an interesting reading of some of the current trends and problems in this fascinating and critically important feld of science to a broad category of researchers and practitioners. Recent developments in high-performance computing are radically changing the way we do numerics. As the size of problems is expected to grow very large in the future, the gap between fast and slow algorithms is growing rapidly. Novel classes of numerical methods with reduced computational complexity are therefore needed to make the rigorous numerical solution of difcult problems arising in an industrial seting more afordable. Te book is structured in four distinct parts, according to the purpose and approaches used in the development of the contributions, ranging from optimization techniques to graph-oriented approaches and approximation theory, providing a good mix of both theory and practice.

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