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    Series series Mathematics and Statistics (R0)
    This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct ... Leer más

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  • Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

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  • Approximation with Positive Linear Operators and Linear Combinations

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  • Symmetric Discontinuous Galerkin Methods for 1-D Waves

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  • Extremal Polynomials and Riemann Surfaces

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    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

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    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 ... Leer más

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