Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space
DOI10.1080/01630563.2020.1871010zbMath1467.65057arXiv2007.01410OpenAlexW3124354034MaRDI QIDQ4985182
N. V. Maiko, Volodymyr L. Makarov
Publication date: 22 April 2021
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01410
boundary value problemBanach spaceCayley transformweighted estimateexponentially convergent algorithmalgorithm without saturation of accuracy
Numerical solutions to equations with linear operators (65J10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for trigonometric approximation and interpolation (65T40) Complexity and performance of numerical algorithms (65Y20)
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Cites Work
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- Boundary effect in the error estimate of the finite-difference scheme for two-dimensional Poisson's equation
- Analytic vectors
- Semigroups of linear operators and applications to partial differential equations
- The finite-difference scheme of higher order of accuracy for the two-dimensional Poisson equation in a rectangle with regard for the effect of the Dirichlet boundary condition
- A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition
- Weighted estimates for boundary value problems with fractional derivatives
- Weighted estimates of the Cayley transform method for abstract differential equations
- Boundary effect in accuracy estimate of the grid method for solving fractional differential equations
- The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation
- Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions
- Semigroups and abstract Gevrey spaces
- Boundary values of solutions of operator-differential equations
- Boundary Concentrated Finite Element Methods
- Accuracy Estimates of Difference Schemes for Quasi-linear Parabolic Equations Taking into Account the Initial-boundary Effect
- Explicit and approximate solutions of second order elliptic differential equations in hilbert and banach spaces
- Meixner polynomials and their properties
- Super Exponentially Convergent Approximation to the Solution of the Schrödinger Equation in Abstract Setting
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