Tensor extrapolation methods with applications

Fundamental Methods of Numerical Extrapolation With Applications

Extrapolation is an incredibly powerful technique for increasing speed and accuracy in various numerical tasks in scientific computing. As we will see, extrapolation can transform even the most mundane of algorithms (such as the Trapezoid Rule) into an extremely fast and accurate algorithm, increasing the rate of convergence by more than one order of magnitude. Within this paper, we will first ...

Practical Extrapolation Methods - Theory and Applications

Practical extrapolation methods : theory and applications / Avram Sidi. p. cm. – (Cambridge monographs on applied and computational mathematics) Includes bibliographical references and index.

1 Tensor models : solution methods and applications

Review of two vector extrapolation methods of polynomial type with applications to large-scale problems

An important problem that arises in different areas of science and engineering is that of computing limits of sequences of vectors {xn}, where xn ∈CN with N very large. Such sequences arise, for example, in the solution of systems of linear or nonlinear equations by fixed-point iterative methods, and limn→∞xn are simply the required solutions. Inmost casesof interest, these sequences converge t...

Extensions: Extrapolation Methods for CAD

Many operations within a solid modeling application, notably applying thickness (shelling) or blending edges ( lleting), encounter di culties during topology resolution. In order to create a solid object, certain faces have to be intersected but the geometry is such that no intersection curve can be computed. The solution is to "extend" one or both faces. This means that one has to extrapolate ...