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  • Uncertainty Quantification in Computational Fluid Dynamics

    Series series Mathematics and Statistics (R0)
    Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo ... Read more

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    Series series Physics and Astronomy (R0)
    This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook.When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly ... Read more

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  • Nuclear Computational Science

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    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 ... Read more

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  • Introduction to Modern Fortran for the Earth System Sciences

    Series series Earth and Environmental Science (R0)
    This work provides a short "getting started" guide to Fortran 90/95. The main target audience consists of newcomers to the field of numerical computation within Earth system sciences (students, researchers or scientific programmers). Furthermore, readers accustomed to other programming languages may also benefit from this work, by discovering how some programming techniques they are familiar with ... Read more

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  • Numerical Approximation Methods

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    Series series Mathematics and Statistics (R0)
    This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques that are now formally collected as well as original methods developed by the author that do not appear in the literature.This book contains an extensive ... Read more

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  • Flux-Corrected Transport

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    Series series Physics and Astronomy (R0)
    Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design ... Read more

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  • Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

    by V.V. Aristov ...
    Series series Physics and Astronomy (R0)
    This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of ... Read more

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  • Spectral Methods for Non-Standard Eigenvalue Problems

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    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 ... Read more

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  • Methods of Applied Mathematics with a Software Overview

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    Series series Mathematics and Statistics (R0)
    This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of ... Read more

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  • Modeling, Simulation and Optimization of Complex Processes HPSC 2015

    Proceedings of the Sixth International Conference on High Performance Scientific Computing, March 16-20, 2015, Hanoi, Vietnam

    Series series Springer Nature Proceedings excluding Computer Science
    This proceedings volume highlights a selection of papers presented at the Sixth International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam on March 16-20, 2015. The conference was jointly organized by the Heidelberg Institute of Theoretical Studies (HITS), the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the ... Read more

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  • Computing Qualitatively Correct Approximations of Balance Laws

    Exponential-Fit, Well-Balanced and Asymptotic-Preserving

    by 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 ... Read more

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  • 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 ... Read more

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