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The purpose of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties and to demonst...
Fundamentals in Single Domains
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientifi...
When Big Data and Mathematical Models Meet
Covid-19 has shown us the importance of mathematical and statistical models to interpret reality, provide forecasts, and explore future scenarios. Alg...
Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that...
Data, Numerical Approximation, Clinical Applications
Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical d...
In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parab...
Evolution to Complex Geometries and Applications to Fluid Dynamics
Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics cont...
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their ...
This introduction to Scientific Computing illustrates several numerical methods for the computer solution of certain classes of mathematical problems....
An Introduction
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (...
Cetraro, Italy 2018
This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection be...
Analysis, Approximation, and Applications
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the author...
C.I.M.E. Summer School, Cetraro, Italy 2009
This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (I...
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathemati...
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform ...
Modeling and simulation of the circulatory system
Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes. This book offers a mathematically...
The Sixth International Conference on Domain Decomposition, June 15-19, 1992, Como, Italy
This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Developments in th...