Results 21 to 30 of about 653,908 (276)

Computable error bounds for collocation methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideration of the involved differential operator, related matrices and the ...
A. H. Ahmed
doaj   +1 more source

Cross-product cubature error bounds [PDF]

open access: yesMathematics of Computation, 1970
This paper is concerned with cross-product cubature rules. We use Sard’s Kernel Theorem [ 10 ] [10] to express the cross-product cubature error in terms of one variable kernels. This simplified representation of the error is then used to derive cubature error bounds analogous to those obtained by Secrest and ...
openaire   +2 more sources

Higher-order error bound for the difference of two functions

open access: yesJournal of Inequalities and Applications, 2018
Error bounds play an important role in the research of mathematical programming. Using some techniques of nonsmooth analysis, we establish some results on the existence of higher-order error bounds for difference functions with set constraints.
Hui Huang, Mengxue Xia
doaj   +1 more source

Validation of Voting Committees [PDF]

open access: yes, 1997
This article contains a method to bound the test errors of voting committees with members chosen from a pool of trained classifiers. There are so many prospective committees that validating them directly does not achieve useful error bounds.
Bax, Eric
core   +4 more sources

Perturbations of an Ostrowski type inequality and applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
doaj   +1 more source

Realistic computable error bounds for three dimensional finite element analyses in linear elasticity [PDF]

open access: yes, 2011
We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions.
Ainsworth, Mark   +1 more
core   +1 more source

Error bounds for general mixed quasivariational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
It is well known that mixed quasivariational inequalities are equivalent to the implicit fixed-point problems. We use this alternative equivalent formulation to suggest and consider some merit functions for general mixed quasivariational inequalities. We
Muhammad Aslam Noor, Khalida Inayat Noor
doaj   +1 more source

Improved Error Bounds Based on Worst Likely Assignments

open access: yes, 2015
Error bounds based on worst likely assignments use permutation tests to validate classifiers. Worst likely assignments can produce effective bounds even for data sets with 100 or fewer training examples.
Bax, Eric
core   +1 more source

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