Error estimates for other a/c coupling methods
Error estimates of finite element methods for fractional stochastic Navier–Stokes equations
... Full list of author information is available at the end of the article Abstract Based on the Itô’s isometry and the properties of the solution operator defined by the Mittag-Leffler function, this paper gives a detailed ...
15
Error estimates of finite element methods for nonlinear fractional stochastic differential equations
... element methods and then study the space semidis- crete scheme and derive error estimates for the standard Galerkin finite element method with smooth initial ...strong error estimates ...
20
Optimal order a posteriori error estimates for a class of Runge–Kutta and Galerkin methods
... posteriori error estimates, which exhibit optimal global order, for a class of time stepping methods of any order that include Runge–Kutta Collocation (RK-C) methods and the continuous ...
31
ERROR ESTIMATES FOR SEMI-DISCRETE GAUGE METHODS FOR THE NAVIER-STOKES EQUATIONS : FIRST-ORDER
... gauge methods is that no boundary condition is imposed on p and that we are free to choose a convenient boundary condition for the non-physical variable φ which, in view of ...
23
CAVEAT ON THE ERROR ANALYSIS FOR STEREOLOGICAL ESTIMATES
... Statistical methods for error analysis familiar to most biological researchers are based on independent random sampling, however systematic random sampling, which is usually more efficient, is almost always ...
5
A crucial theoretical step in designing these methods are a posteriori error estimates that relate the error to quantities that are computable in terms of the discrete solution and data
... • Since we use the continuous maximum principle to deal with barrier functions, our current results are neither restricted to polynomial degree one nor impose any geometric mesh constraints such as weak acuteness. We ...
21
A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods
... posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...posteriori error estimates for both the state and the ...
14
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems
... priori error estimates in the H 1 and L 2 norms where first given by Douglas and Dupont ...an error estimate for the L ∞ norm (without numerical ...
32
Some Newton-like methods with sharper error estimates for solving operator equations in Banach spaces
... Theorem 3.1 Let F be a Fréchet differentiable operator defined on an open convex subset D of a Banach space X with values in a Banach space Y... (3 : 11).[r] ...
20
Pricing and hedging of financial derivatives using a posteriori error estimates and adaptive methods for stochastic differential equations
... where L is defined in (1.4). In this article we focus on numerical algorithms for stochastic differential equations, with control of the errors, using which we can calculate, simultaneously, the quantities u ( t , x , ( ...
30
PARTIAL DIFFERENTIATION AND ERROR ESTIMATES. Partial derivatives are of-
... . 32. The two partial derivatives are f x (x, y) = 2x − 6 and f y (x, y) = 3y 2 , so the normal direction to the tangent plane is (2x − 6, 3y 2 , − 1). In order for the tangent plane to be equal or parallel to the plane ...
5
On calculating estimates of stratified error-components models
... an error-components model, it can produce negative variance estimates (see Meng and van Dyk, ...ed error-components model, for there may be several component variances and the likelihood becomes ...
10
FORMULATION, A POSTERIORI ERROR ESTIMATES AND NODAL SUPERCONVERGENCE
... an error representation formula, which exploits the nature of the unified formulation and simplifies the forth- coming ...posteriori error bounds that account for nodal superconvergence for Galerkin and RK ...
24
Selection of the Number of Principal Components: The Variance of the Reconstruction Error Criterion with a Comparison to Other Methods
... of methods to calculate the number of PCs, but most of them use monotonically increasing or decreasing ...reconstruction error to select the number of ...Ten other methods available in the ...
13
Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces : a two dimensional model problem
... ATOMISTIC/CONTINUUM COUPLING METHODS WITH GENERAL INTERFACES: A 2D MODEL PROBLEM ∗ ...atomistic/continuum coupling methods (a/c ...a/c methods can be constructed for ...
27
Probability Estimates for Multi-class Classification by Pairwise Coupling
... Next, left panels of Figures 6 and 7 present the average of 20 test errors for problems with small size (300 training/500 testing) and large size (800 training/1,000 testing), respectively. The caption of each sub-figure ...
31
Probability Estimates for Multi-class Classification by Pairwise Coupling
... simply the proportion out of the 500 trees that class i wins over class j. As we set the number of trees to be fixed at 500, the only parameter left for tuning is m try. Similar to (Sventnik et al., 2003), we select m ...
31
A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems
... element methods should be used for discretization of the state equations in such ...element methods are not widely used in engineer- ing ...posteriori error estimates, error ...
14
New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems
... posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control ...posteriori error estimates for both the state and the control ...Such ...
17