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The book highlights methods such as the steepest descent method, Newton method, conjugate direction method, conjugate gradient methods, quasi-Newton methods, rank one correction formula, DFP method, BFGS method and their algorithms, convergence analysis, and proofs.
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This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Soc. "Making it an ideal first... Læs mere
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This text, the ideal student companion to the topic, explains all the core numerical techniques a physicist should know, as well as how to control errors, retain stability, and merge computations. It includes appendices full of additional detail and advice.
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While many problems can be solved at the undergraduate level, a numberof challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.
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This book presents 57 peer-reviewed papers from the 12th Conference on Traffic and Granular Flow (TGF) held in Washington, DC, in July 2017.
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Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume.
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This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines.
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Highlighting the central role of statistics and data analysis methods in the era of Data Science, the contributions offer an essential overview of the latest developments in various areas of statistics research.
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The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method.
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This book contains contributions from computational biomechanics specialists who present and exchange opinions on the opportunities for applying their techniques to computer-integrated medicine, including computer-aided surgery and diagnostic systems.
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The calculus of finite differences is here treated thoroughly and clearly by one of the leading American experts in the field of numerical analysis and computation. The theory is... Læs mere