Elements of Applied Mathematics. Herbert E. Cobb

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Applied Mathematics

Computation and continuation of traveling waves in phase field models: The computation of certain traveling waves has been shown to correspond to that of heteroclinic connections between equilibrium points of a dynamical system (see [10], [17]). The problem of computation and continuation of connecting orbits between equilibrium points and periodic orbits can be fully understood from [3],[4], a...

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Applied mathematics.

Mathematical models are widely used throughout science and engineering in fields as diverse as physics, bioinformatics, robotics, image processing, and economics. Despite the broad range of applications, there are a few essential techniques used in addressing most problems. The Applied Mathematics major provides a foundation in these mathematical techniques and trains the student to use them in...

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Quarterly of Applied Mathematics

Carroll has shown three qualitatively different cases of behavior in the load-expansion relation for the inflation of hollow incompressible isotropic elastic spheres. Each of these cases was related to material response in uniaxial compression (or equal biaxial extension). For "type A" materials, load increases monotonically with expansion; for "type B" materials, load increases monotonically a...

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Quarterly of Applied Mathematics

The mass, momentum, and energy conservation requirements at wave fronts (or surfaces of discontinuity) are reduced to a form suitable for use in the coupled thermoplastic analysis. Constitutive equations are introduced in these relations, and, for one-dimensional situations, it is shown that an isothermal (or adiabatic) wave front separating regions of elastic and plastic behavior will propagat...

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Quarterly of Applied Mathematics

This paper deals with the response of an incompressible laminar boundary layer on a circular cylinder due to small periodic velocity fluctuations. These fluctuations may arise from the motion of the cylinder or be contained within the free stream. A perturbation solution employing the method of matched asymptotic expansions is given for the case of high reduced frequencies. These results are co...

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ژورنال

عنوان ژورنال: The School Review

سال: 1912

ISSN: 0036-6773

DOI: 10.1086/435897