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- W2260214844 abstract "Four types of global error for initial value problems are considered in a common framework. They include classical forward error analysis and shadowing error analysis together with extensions of both to rescaling of time. To determine the amplification of the local error that bounds the global error we present a linear analysis similar in spirit to condition number estimation for linear systems of equations. We combine these ideas with techniques for dimension reduction of differential equations via a boundary value formulation of numerical inertial manifold reduction. These global error concepts are exercised to illustrate their utility on the Lorenz equations and inertial manifold reductions of the Kuramoto-Sivashinsky equation." @default.
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- W2260214844 date "2015-11-28" @default.
- W2260214844 modified "2023-09-27" @default.
- W2260214844 title "Global Error Analysis and Inertial Manifold Reduction" @default.
- W2260214844 hasPublicationYear "2015" @default.
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