Search
Search Results
-
Testing for Error Correlation in Semi-Functional Linear Models
Existing methods for analyzing semi-functional linear models usually assumed that random errors are not serially correlated or serially correlated...
-
Functional Data
Functional data analysis concerns methods to analyse data that are naturally viewed as taking values in infinite dimensional function spaces....
-
Functional a posteriori error estimates for boundary element methods
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element...
-
A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems
A posteriori error estimates are established for a two-step dual finite element method for singularly perturbed reaction–diffusion problems. The...
-
Error estimation for the time to a threshold value in evolutionary partial differential equations
We develop an a posteriori error analysis for a numerical estimate of the time at which a functional of the solution to a partial differential...
-
A Posteriori Error Control of Approximate Solutions to Boundary Value Problems Found by Neural Networks
The paper discusses how to verify the quality of approximate solutions to partial differential equations constructed by deep neural networks. A...
-
Stabilization-free HHO a posteriori error control
The known a posteriori error analysis of hybrid high-order methods treats the stabilization contribution as part of the error and as part of the...
-
Fine error bounds for approximate asymmetric saddle point problems
The theory of mixed finite element methods for solving different types of elliptic partial differential equations in saddle point formulation is well...
-
Pointwise Error Estimates of Numerical Solutions to Linear Quadratic Optimal Control Problems
An auxiliary optimal control problem is formulated that provides with its unique solution, a continuous representation of the global error of a...
-
A Posteriori Error Estimates and Adaptive Error Control for Permittivity Reconstruction in Conductive Media
An inverse problem of reconstruction of the spatially distributed dielectric permittivity function in the Maxwell’s system is considered. The...
-
Incorporating Relative Error Criterion to Conformal Prediction for Positive Data
Positive data are very common in many scientific fields and applications; for these data, it is known that estimation and inference based on relative...
-
Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn–Hilliard Equation
In this paper, we derive a novel recovery type a posteriori error estimation of the Crank–Nicolson finite element method for the Cahn–Hilliard...
-
Error analysis on the initial state reconstruction problem
In this paper, we propose a method to estimate the initial state of a linear dynamical system from noisy observation based on Kalman Filters and...
-
Error Estimation and Optimization of the Direct Simulation Monte Carlo Method Taking into Account Spatial Regularization
AbstractThe direct simulation Monte Carlo method is widely used for solving rarefied gas dynamics problems. The focus in this paper is on the study...
-
On FISTA with a relative error rule
The fast iterative shrinkage/thresholding algorithm (FISTA) is one of the most popular first-order iterations for minimizing the sum of two convex...
-
Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations
Mixed and hybrid finite element discretizations for distributed optimal control problems governed by an elliptic equation are analyzed. A cost...
-
On Error Estimates for Discretization Operators for the Solution of the Poisson Equation
AbstractA discretization operator for the solution of the Poisson equation with the right-hand side from the Korobov class is constructed and its...
-
A posteriori error estimates for wave maps into spheres
We provide a posteriori error estimates in the energy norm for temporal semi-discretisations of wave maps into spheres that are based on the angular...