Alexei Filinkov – författare
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4 produkter
4 produkter
936 kr
Skickas inom 10-15 vardagar
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularization methods. Semigroup and distribution methods restore well-posedness, in a modern weak sense. Regularization methods provide approximate solutions to ill-posed problems. Although these approaches were extensively developed over the last decades by many researchers, nowhere could one find a comprehensive treatment of all three approaches.Abstract Cauchy Problems: Three Approaches provides an innovative, self-contained account of these methods and, furthermore, demonstrates and studies some of the profound connections between them. The authors discuss the application of different methods not only to the Cauchy problem that is not well-posed in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations.Accessible to nonspecialists and beginning graduate students, this volume brings together many different ideas to serve as a reference on modern methods for abstract linear evolution equations.
2 534 kr
Kommande
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in numerous mathematical models in physics, engineering, and finance can be approached in a variety of ways. The authors structured these approaches, identifying three main strategies for dealing with ill‑posed problems: semigroup methods, abstract distribution methods, and regularization methods. Semigroup and distribution methods restore well-posedness, in a modern weak sense. Regularization methods provide approximate solutions to ill-posed problems. Although these approaches have been extensively developed by many researchers, a comprehensive treatment of all three approaches has hitherto been unforthcoming. Abstract Cauchy Problems: Three Approaches, now in its second edition, provides an innovative, self-contained account of these methods and, furthermore, demonstrates and studies some of the profound connections between them. The authors discuss the application of different methods not only to the Cauchy problem that is not well-posed in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations.The second edition addresses several recent developments not included in the original book, including new applications of semigroup, distribution and regularization methods to partial differential equations, to pseudo-differential equations and to stochastic problems.The second edition continues to be useful for mathematical modellers in physics, biology, engineering and finance, and to be accessible to nonspecialists and graduate students.
2 604 kr
Skickas inom 10-15 vardagar
Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed problems-involved in a numerous mathematical models in physics, engineering, and finance- can be approached in a variety of ways. Historically, there have been three major strategies for dealing with such problems: semigroup, abstract distribution, and regularization methods. Semigroup and distribution methods restore well-posedness, in a modern weak sense. Regularization methods provide approximate solutions to ill-posed problems. Although these approaches were extensively developed over the last decades by many researchers, nowhere could one find a comprehensive treatment of all three approaches.Abstract Cauchy Problems: Three Approaches provides an innovative, self-contained account of these methods and, furthermore, demonstrates and studies some of the profound connections between them. The authors discuss the application of different methods not only to the Cauchy problem that is not well-posed in the classical sense, but also to important generalizations: the Cauchy problem for inclusion and the Cauchy problem for second order equations.Accessible to nonspecialists and beginning graduate students, this volume brings together many different ideas to serve as a reference on modern methods for abstract linear evolution equations.
Information and Influence: Collective Information Processing under Societal Threat
Inbunden, Engelska, 2026
1 646 kr
Kommande
How can we ensure that societies adapt to the threats confronting us in the 21st Century? From climate change to civil unrest and extremism, solving these complex societal threats will require coordinated collective responses at a scale not otherwise seen in the 21st Century. Yet recent world events involving political interference and misinformation demonstrate that the process of collective adaptation can be fragile and easily disrupted. This book offers a timely and compelling theoretical framework to make sense of the individual and group processes, and societal regulatory mechanisms critical to the process of collective adaptation. Namely, the Societal Threat, Psychosocial Security, and Collective Information Processing (SPCIS, pronounced species) theoretical framework. Drawing upon expertise ranging across the cognate disciplines, this book distils critical insights from contemporary scholarship to discuss the psychological processes involved in the way people think, feel, and act when faced with societal threats, how public discourse can be harnessed to make sense of threats, and the role of public institutions in facilitating and creating adaptive responses to threats. Offering a unique perspective on critical junctures and opportunities, this book highlights what is needed to achieve the adaptation necessary to address current and future societal threats.