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  • The Oxford Handbook of the Foundations and Regulation of Generative AI

    Series series Oxford Handbooks
    Generative AI technology holds immense transformative potential, with applications spanning from text generation to image creation and scientific discovery. Yet, its rapid development and adoption have introduced significant legal and ethical concerns, such as potential cybersecurity risks, misinformation, unsustainability, and algorithmic discrimination. The Oxford Handbook of the Foundations and ... Read more

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  • Trends in PDE Constrained Optimization

    Series series Mathematics and Statistics (R0)
    Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with ... Read more

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  • Presage

    Presage: This is a collection of love stories inspired by real life. In these pages, the reader will discover tales that explore the different facets of love. Some stories take the form of fables, weaving deep metaphors, while others are accompanied by morals that invite reflection. Through each story, this work seeks to show the transformative power of love and how, in its different forms, it ... Read more

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  • The Finite Element Method: Theory, Implementation, and Applications

    Series series Mathematics and Statistics (R0)
    This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a ... Read more

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  • Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

    In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

    Series series Springer Nature Proceedings excluding Computer Science
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    This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured ... Read more

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  • Analysis and Numerics of Partial Differential Equations

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    This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the ... Read more

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