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Complex Interpolation Between Two Mixed Norm Bergman Spaces in Tube Domains Over Homogeneous Cones
We use a family of atomic decomposition operators to determine an explicit function realising the complex interpolation between two mixed norm...
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Interpolation operators for parabolic problems
We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We...
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Solving Nonlinear Wave Equations Based on Barycentric Lagrange Interpolation
In this paper, we deeply study the high-precision barycentric Lagrange interpolation collocation method to solve nonlinear wave equations. Firstly,...
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A unifying framework for tangential interpolation of structured bilinear control systems
In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential...
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Lagrange Finite Elements and Interpolation
The aim of this chapter is to give a brief introduction to finite element spaces, and introduce some useful interpolation estimates in fractional...
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Wavelet multiresolution interpolation Galerkin method for nonlinear boundary value problems with localized steep gradients
The wavelet multiresolution interpolation for continuous functions defined on a finite interval is developed in this study by using a simple...
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Stability and Interpolation Properties for Stokes-Like Virtual Element Spaces
We prove stability bounds for Stokes-like virtual element spaces in two and three dimensions. Such bounds are also instrumental in deriving optimal...
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Multilevel Smolyak Sparse-Grid Interpolation and Quadrature
In this section we introduce a multilevel interpolation and quadrature algorithm which are suitable for numerical implementation.
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On the Fourth Order Accurate Interpolation Operator for the Difference Solution of the 3-Dimensional Laplace Equation
AbstractA three-dimensional (3D) matching operator is proposed for the fourth-order accurate solution of the Dirichlet problem of Laplace’s equation...
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Anisotropic Raviart–Thomas interpolation error estimates using a new geometric parameter
We present precise Raviart–Thomas interpolation error estimates on anisotropic meshes. The novel aspect of our theory is the introduction of a new...
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On spline quasi-interpolation through dimensions
The approximation of functions and data in one and high dimensions is an important problem in many mathematical and scientific applications....
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Variable Piecewise Interpolation Solution of the Transport Equation
In this paper, we construct a piecewise interpolation method of approximate solution of the transport equation based on the Newton interpolation...
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Mixed Methods
Mixed methods were among the first ones to be formulated for contact, along with penalty methods: see, e.g., the pioneering works of J. Haslinger in...
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A Convergent Iterated Quasi-interpolation for Periodic Domain and Its Applications to Surface PDEs
The paper first provides an iterated quasi-interpolation scheme for function approximation over periodic domain and then attempts its applications to...
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Interpolations of Mixed-Norm Function Spaces
This article is devoted to presenting a general interpolation result on mixed-norm function spaces generated by quasi-Banach lattices. Under certain...
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Optimal linear interpolation of multiple missing values
The problem of linear interpolation in the context of a multivariate time series having multiple (possibly non-consecutive) missing values is...
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A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers
A rapidly converging domain decomposition algorithm is introduced for a time delayed parabolic problem with mixed type boundary conditions exhibiting...
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Convergence Estimates for Stationary Radial Basis Function Interpolation and for Semi-discrete Collocation-Schemes
We give a Fourier-theoretic analysis of the convergence of semi-discrete Radial Basis Function interpolation on regular grids and of the associated...