Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Numerical Models for Differential Problems (Hardcover, 3rd ed. 2017)
Loot Price: R3,118
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Numerical Models for Differential Problems (Hardcover, 3rd ed. 2017)
Series: MS&A, 16
Expected to ship within 10 - 15 working days
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In this text, we introduce the basic concepts for the numerical
modeling of partial differential equations. We consider the
classical elliptic, parabolic and hyperbolic linear equations, but
also the diffusion, transport, and Navier-Stokes equations, as well
as equations representing conservation laws, saddle-point problems
and optimal control problems. Furthermore, we provide numerous
physical examples which underline such equations. We then analyze
numerical solution methods based on finite elements, finite
differences, finite volumes, spectral methods and domain
decomposition methods, and reduced basis methods. In particular, we
discuss the algorithmic and computer implementation aspects and
provide a number of easy-to-use programs. The text does not require
any previous advanced mathematical knowledge of partial
differential equations: the absolutely essential concepts are
reported in a preliminary chapter. It is therefore suitable for
students of bachelor and master courses in scientific disciplines,
and recommendable to those researchers in the academic and
extra-academic domain who want to approach this interesting branch
of applied mathematics.
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