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Differential Equations

  • Partial Differential Equations with Fourier Series and Boundary Value Problemsby Nakhle H. Asmar

    Dover Publications 2017; US$ 59.95

    This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book... more...

  • Stochastic Differential Equationsby Michael J. Panik

    Wiley 2017; US$ 135.00 US$ 117.00

    A beginner’s guide to stochastic growth modeling The chief advantage of stochastic growth models over deterministic models is that they combine both deterministic and stochastic elements of dynamic behaviors, such as weather, natural disasters, market fluctuations, and epidemics. This makes stochastic modeling a powerful tool in the hands... more...

  • Differential Equationsby Christian Constanda

    Springer International Publishing 2017; US$ 50.60

    This book offers a simple, no-frills approach to differential equations, with some 400 exercises that can be solved without a calculating device. Each worked example includes Mathematica commands for checking results and generating graphical representations. more...

  • Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$by Serena Dipierro; MarÝa Medina; Enrico Valdinoci

    Scuola Normale Superiore 2017; US$ 21.52

    These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary. The results presented are original, but no particular prerequisite or knowledge... more...

  • Combinatorics and Complexity of Partition Functionsby Alexander Barvinok

    Springer International Publishing 2017; US$ 72.13

    Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial  structure of complicated systems. The main focus of the book is on efficient ways to compute (approximate) various partition functions, such as permanents, hafnians and their higher-dimensional versions, graph... more...

  • Surveys in Differential-Algebraic Equations IVby Achim Ilchmann; Timo Reis

    Springer International Publishing 2017; US$ 96.90

    The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of... more...

  • Functional and Impulsive Differential Equations of Fractional Orderby Ivanka Stamova; Gani Stamov

    CRC Press 2017; US$ 139.95

    The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, andáfractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating... more...

  • Theory of Stabilization for Linear Boundary Control Systemsby Takao Nambu

    CRC Press 2017; US$ 179.95

    This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading... more...

  • Modern Solvers for Helmholtz Problemsby Domenico Lahaye; Jok Tang; Kees Vuik

    Springer International Publishing 2017; US$ 91.52

    This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering... more...

  • Pricing Derivatives Under LÚvy Modelsby Andrey Itkin

    Springer New York 2017; US$ 64.60

    This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. The method, based on pseudo-differential operators and several original contributions to the theory of finite-difference schemes, is new as applied... more...