Computational Modeling and Mathematics Applied to the Physical Sciences
Publisher: National Academy Press 1984
Number of pages: 108
As illustration, we examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability. We examine modeling problems and algorithms adapted both to specific features of the desired solution and to the computer architecture. We also examine computer architecture and component design and manufacture as a mathematical modeling problem.
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by James Nearing - Dover Publications
Infinite series, complex algebra, differential equations, Fourier series, vector spaces, operators and matrices, multivariable calculus, vector calculus, partial differential equations, numerical analysis, tensors, complex variables, and more.
by Mihir Sen, Joseph M. Powers - University of Notre Dame
Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. Directed at first year graduate students in engineering and undergraduates who wish to become better prepared for graduate studies.
by Francesco Mainardi (ed.) - MDPI AG
Fractional calculus is allowing integrals and derivatives of any positive order. It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type ...
by N. L. Carothers - Bowling Green State University
The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.