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  • An Introduction to Neural Network Methods for Differential Equations

    Series series Engineering (R0)
    This book introduces a variety of neural network methods for solving differential equations arising in science and engineering. The emphasis is placed on a deep understanding of the neural network techniques, which has been presented in a mostly heuristic and intuitive manner. This approach will enable the reader to understand the working, efficiency and shortcomings of each neural network ... Leer más

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  • Spectral Methods for Non-Standard Eigenvalue Problems

    Fluid and Structural Mechanics and Beyond

    Series series Mathematics and Statistics (R0)
    This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solve non-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their ... Leer más

    $920 MXN

  • Fluid-structure Interactions

    Models, Analysis and Finite Elements

    Series series Mathematics and Statistics (R0)
    This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described ... Leer más

    $2,391 MXN

  • Computing Qualitatively Correct Approximations of Balance Laws

    Exponential-Fit, Well-Balanced and Asymptotic-Preserving

    de Laurent Gosse ...
    Series series Mathematics and Statistics (R0)
    Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving ... Leer más

    $1,656 MXN

  • Questions About Elastic Waves

    Series series Mathematics and Statistics (R0)
    This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the ... Leer más

    $1,288 MXN

  • Multi-Band Effective Mass Approximations

    Advanced Mathematical Models and Numerical Techniques

    Series series Mathematics and Statistics (R0)
    This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum ... Leer más

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  • The Courant–Friedrichs–Lewy (CFL) Condition

    80 Years After Its Discovery

    This volume comprises a carefully selected collection of articles emerging from and pertinent to the 2010 CFL-80 conference in Rio de Janeiro, celebrating the 80th anniversary of the Courant-Friedrichs-Lewy (CFL) condition. A major result in the field of numerical analysis, the CFL condition has influenced the research of many important mathematicians over the past eight decades, and this work is ... Leer más

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  • Inverse Problems for Partial Differential Equations

    de Victor Isakov ...
    Series series Mathematics and Statistics (R0)
    This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new ideas include use of the stationary phase method in the two-dimensional elliptic problems and of multi ... Leer más

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  • Nuclear Computational Science

    A Century in Review

    Series series Engineering (R0)
    Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown.Nuclear Computational Science: A Century ... Leer más

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  • Slow Viscous Flow

    Leonardo wrote, “Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics”; replace “Mechanics” by “Fluid mechanics” and here we are.- From the Preface to the Second EditionAlthough the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and ... Leer más

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  • Innovative Algorithms and Analysis

    Edición de Laurent Gosse, Roberto Natalini ...
    Series series Mathematics and Statistics (R0)
    This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:Lagrangian discretizations and wavefront tracking for ... Leer más

    $1,840 MXN

  • 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 ... Leer más

    $1,288 MXN