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Applied Mathematics

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Editors' choice journals - read highlighted articles

SN Partial Differential Equations and Applications (SN PDE) offers a single platform for all PDE-based research, bridging the areas of Mathematical Analysis, Computational Mathematics and applications of Mathematics in the Sciences. It thus encourages and amplifies the transfer of knowledge between scientists with different backgrounds and from different disciplines who study, solve or apply the same types of equations. SN PDE accepts both original research as well as review articles of high quality, providing thorough and fast peer-review.

"As a bridge between the different communities, the journal further invites dedicated Knowledge Transfer Papers: These may be interdisciplinary review papers highlighting different perspectives on the same type of equation, discussions of open problems and challenges in one community inviting research activity from another, and reviews of recent results written for non-experts amplifying the dissemination of knowledge."

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The Journal of Engineering Mathematics promotes the application of mathematics to problems from engineering and the applied sciences. It emphasizes the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science.

"Coverage includes: Mathematics, Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional-analytical methods, Numerical analysis, Computational methods."

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Applied Mathematics and Mechanics (English Edition) is a journal on applied mathematics and mechanics published in the People's Republic of China. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.

"Founded by Professor Weizang CHIEN in May 1980 as a quarterly, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985."

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The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Papers considered for publication must contain significant contributions and applications from a mathematical perspective.

"Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and mathematical analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering."

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Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods.

"Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics."

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The Journal of Mathematical Fluid Mechanics (JMFM) is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. 

“The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics and meet a wide readership." 

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The Journal of Applied Mathematics and Physics (ZAMP) publishes papers of high scientific quality in Fluid Mechanics, Mechanics of Solids and Differential Equations/Applied Mathematics.

“The readers of ZAMP will find not only articles in their own special field but also original work in neighbouring domains. This will lead to an exchange of ideas; concepts and methods which have proven to be successful in one field may well be useful to other areas. ZAMP attempts to publish articles reasonably quickly. Longer papers are published in the section Original Papers", shorter ones may appear under "Brief Reports" where publication is particularly rapid. The journal includes a "Book Review" section and provides information on activities (such as upcoming symposia, meetings or special courses) which are of interest to its readers." 

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Presents research results in Fourier analysis, as well as applicable mathematics having a significant Fourier analytic component. Also publishes select and readable surveys, which include historical articles, research tutorials, and expositions of specific topics

"Fully covers the extensive, intricate, and fundamental relationship between Fourier analysis and so many other areas within mathematics, engineering, and mathematical physics." 

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Editors' choice books - read highlighted chapters

Coordinate Systems for Games is ideal for a wide variety of researchers interested in game theory, including social scientists, economists, mathematicians, computer scientists, and more. The authors' approachable style also makes this accessible to an audience at any scale of experience, from beginning non-specialists to more practiced researchers

"This monograph develops a method of creating convenient coordinate systems for game theory that will allow readers to more easily understand, analyze, and create games at various levels of complexity. By identifying the unique characterization of games that separates the individual’s strategic interests from the group’s collective behavior, the authors construct a single analytical methodology that readers will be able to apply to a wide variety of games. With its emphasis on practicality and approachability, readers will find this book an invaluable tool, and a viable alternative to the ad hoc analytical approach that has become customary for researchers utilizing game theory."

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The SABR model introduced in Hagan et al. [39] is widely used by practitioners to capture skew and smile features observed in the interest rates implied volatilities.

"In this chapter, we analyze exactly solvable cases for the SABR model; free Normal SABR, Log-normal SABR, Normal SABR with positive rate and zero correlation between underlying and volatility, and a general zero correlation case."

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These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology.

“Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. " 

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This edited volume proposes a review of the Long-Term Care insurance; this issue is addressed both from a global point of view, (through a presentation of the risk of dependence associated with the aging of the population) and an actuarial point of view, (with the presentation of existing insurance products and actuarial techniques for pricing and reserving).

“It is the first book to be dedicated solely to long-term care insurance and aims to provide a valuable reference for all actuaries facing this issue. It is intended for both professionals and academics.." 

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This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism.

“Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty." 

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More chapters

Il libro è rivolto principalmente agli studenti delle Facoltà di Architettura e di Design e vuole costituire una introduzione alla rappresentazione parametrica di curve e superfici nel piano e nello spazio. Il testo è corredato da numerosi esercizi svolti che dimostrano l'applicazione delle tecniche proposte. Al fine di rendere ancora più concreta la trattazione, gli strumenti introdotti sono utilizzati per la soluzione di problemi di reale interesse applicativo, raccolti in schede denominate "Real-life application".

“Per consentire una fruizione pratica dei concetti sviluppati nel libro, molte delle immagini che illustrano gli esempi proposti sono corredate da un QR code che indirizza al materiale supplementare disponibile online." 

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The overarching aim of this open access book is to present self-contained theory and algorithms for investigation and prediction of electric demand peaks. A cross-section of popular demand forecasting algorithms from statistics, machine learning and mathematics is presented, followed by extreme value theory techniques with examples.

“While applied on individual loads, the techniques described in this book can be extended naturally to substations, or to commercial settings. Extreme value theory techniques presented can be also used across other disciplines, for example for predicting heavy rainfalls, wind speed, solar radiation and extreme weather events. The book is intended for students, academics, engineers and professionals that are interested in short term load prediction, energy data analytics, battery control, demand side response and data science in general." 

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This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation.

“Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics." 

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This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control).

“The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms." 

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Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on "Stochastic models of epidemics" which took place in Ziguinchor, Senegal, December 5–16, 2015. The text is divided into four parts, each based on one of the courses given at the school: homogeneous models (Tom Britton and Etienne Pardoux), two-level mixing models (David Sirl and Frank Ball), epidemics on graphs (Viet Chi Tran), and statistics for epidemic models (Catherine Larédo).

“The CIMPA school was aimed at PhD students and Post Docs in the mathematical sciences. Parts (or all) of this book can be used as the basis for traditional or individual reading courses on the topic. For this reason, examples and exercises (some with solutions) are provided throughout." 

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This book provides an introduction to topics in non-equilibrium quantum statistical physics for both mathematicians and theoretical physicists. The first part introduces a kinetic equation, of Kolmogorov type, which is needed to describe an isolated atom (actually, in experiments, an ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its excited state(s) together with the random emission of fluorescence photons which put it back into its ground state. 

“The quantum kinetic theory developed in the second part is an extension of Boltzmann's classical (non-quantum) kinetic theory of a dilute gas of quantum bosons. This is the source of many interesting fundamental questions, particularly because, if the temperature is low enough, such a gas is known to have at equilibrium a transition, the Bose–Einstein transition, where a finite portion of the particles stay in the quantum ground state. An important question considered is how a Bose gas condensate develops in time if its energy is initially low enough." 

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Artificial intelligence and neural networks offer a powerful alternative to statistical methods for analyzing data. This book reviews some of the most recent developments in neural networks, with a focus on applications in actuarial sciences and finance.

“The third volume of the trilogy simultaneously introduces the relevant tools for developing and analyzing neural networks, in a style that is mathematically rigorous and yet accessible. The authors proceed by successive generalizations, requiring of the reader only a basic knowledge of statistics." 

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This book contains three well-written research tutorials that will allow the reader to easily get to the forefront of current research in multi-agent optimization. These tutorials cover topics that have not yet found their way in standard books and offer the reader the unique opportunity to be guided by major researchers in the respective fields. Multi-agent optimization, lying at the intersection of classical optimization, game theory, and variational inequality theory, is at the forefront of modern optimization and has recently undergone a dramatic development. It seems timely to provide an overview that describes in detail ongoing research and important trends.

“This book concentrates on Distributed Optimization over Networks; Differential Variational Inequalities; and Advanced Decomposition Algorithms for Multi-agent Systems. This book will appeal to both mathematicians and mathematically oriented engineers and will be the source of inspiration for PhD students and researchers." 

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More articles available for until March 31st

BIT was started by Carl Erik Fröberg in 1961. The name is an acronym for "Tidskrift för Informationsbehandling" read backwards. From the outset, a wide area of computer science and technology was covered, but since 1992 the focus has been on Numerical Mathematics.

"BIT publishes original research papers in the rapidly developing field of numerical analysis. The essential areas covered by BIT are development and analysis of numerical methods as well as the design and use of algorithms for scientific computing. Topics emphasized by BIT include numerical methods in approximation, linear algebra, and ordinary and partial differential equations."

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Numerische Mathematik publishes papers of the very highest quality presenting significantly new and important developments in all areas of Numerical Analysis.

“"Numerical Analysis" is here understood in its most general sense, as that part of Mathematics that covers:1. The conception and mathematical analysis of efficient numerical schemes actually used on computers (the "core" of Numerical Analysis) 2. Optimization and Control Theory 3. Mathematical Modeling 4. The mathematical aspects of Scientific Computing" 

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As in many areas of science, mathematics has also gained an unprecedented importance in geosciences. The complexity of the processes within the Earth, at its surface, and in the atmosphere can only be described, modelled, mapped, and understood by means of modern mathematical methodologies.

“GEM – The International Journal on Geomathematics encourages interdisciplinary research in this respect. It publishes high quality peer-reviewed mathematical papers which are (also) relevant in Earth sciences. This includes all kinds of mathematical methodologies (algebraic, analytic, computational, numerical, operator-theoretic, optimization-based, statistical, stochastic etc.) in every possible discipline of geosciences (such as, but not exclusively, climatology, exploration, fractured porous media modelling, geodynamics, geology, geomagnetics, hydrology, oceanography, satellite data analysis, seismology, solid Earth physics, and time series analysis) but also planetary sciences and cosmology." 

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The Journal publishes carefully selected articles covering all aspects of water waves, both theoretical (including rigorous mathematics, mathematical modelling and numerical simulations) and practical (including laboratory and field work, computational techniques and statistical data analysis).

"The journal is distinguished by a strictly interdisciplinary focus, and all authors are expected to write an introduction explaining the main findings of their article in terms accessible to non-specialists, and placing the results in a broader context. Contributions featuring a combination of different methodologies are especially welcome." 

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The mission of the Journal of Nonlinear Science is to publish papers that augment the fundamental ways we describe, model, and predict nonlinear phenomena. It features papers that make an original contribution to at least one technical area and illuminate issues beyond that area's boundaries.

"Papers can be oriented toward theory, experimentation, algorithms, numerical simulations, or applications as long as the work is creative and sound. In turn, papers oriented toward experimentation, numerical simulations, or applications must not simply report results without an indication of what a theoretical explanation might be." 

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The journal is published by the Institute of Mathematics, Czech Academy of Sciences and distributed by Springer.

More information is available at the publishers' website via the following link:
http://am.math.cas.cz/ 

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