Perspectives on Enclosure Methods
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Beschreibung
Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.
Introduction to a most advanced research field in scientific computing Interesting applications Latest research results
Autor*in
Ulrich Kulisch
Themen in »Perspectives on Enclosure Methods«
Boundary value problem Eigenvalue Factor algorithms calculus computation derivative differential equation finite element method mathematics numerical analysis numerics optimization ordinary differential equation scientific computing