Optimal Rules with Polynomial Precision for Hubert Spaces Possessing Reproducing Kernel Functions. II. Error Bounds.
Optimal snapshot location for computing POD basis functions
The construction of reduced order models for dynamical systems using proper orthogonal decomposition (POD) is based on the information contained in so-called snapshots. These provide the spatial distribution of the dynamical system at discrete time instances. This work is devoted to optimizing the choice of these time instances in such a manner that the error between the POD-solution and the trajectory of the dynamical system is minimized. First and second order optimality systems are given. Numerical...
Optimal Solution of Nonlinear Equations Satisfying a Lipschitz Condition.
Optimal solution of some two-point boundary value problem
Optimal Successive Overrelaxation Iterative Methods fo P-Cyclic Matrices.
Optimal Tikhonov approximation for a sideways parabolic equation.
Optimal traffic assignment in a SS/TDMA frame : a new approach by set covering and column generation
Optimal Transformations for Scalar Sequences.
Optimal uncertainty quantification for legacy data observations of Lipschitz functions
We consider the problem of providing optimal uncertainty quantification (UQ) – and hence rigorous certification – for partially-observed functions. We present a UQ framework within which the observations may be small or large in number, and need not carry information about the probability distribution of the system in operation. The UQ objectives are posed as optimization problems, the solutions of which are optimal bounds on the quantities of interest; we consider two typical settings, namely parameter...
Optimale Approximation linearer Funktionale auf periodischen Funktionen.
Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf periodischen Funktionen. - Optimal Approximation with Side Conditions to Linear Functionals on Periodic Functions.
Optimale Differentiations- und Integrationsformeln in C0 [a, b]. - Optimal Differentiation and Integration Formulas in C0 [a, b].
Optimale Fehlerabschätzungen mit dualen Funktionalen bei semilineraen Randwertaufgaben gewöhnlicher Differentialgleichungen.
Optimale Interpolations- und Approximationssysteme.
Optimale Koeffizienten bezüglich zusammengesetzter Zahlen.
Optimale Quadraturformeln mit semidefiniten Kernen.
Optimale Quadraturformeln mit semidefiniten Peano-Kernen. - Optimal Integration Formulas with Semidefinite Peano-Kernels.
Optimale Runge-Kutta-Verfahren der Ordnung 2 und 3.
Optimale Verfahren zur numerischen Integration von Anfangswertproblemen.
Optimalité du procédé d’Aitken pour l’accélération de la convergence linéaire