Changing variables in Taylor series with applications to PDEs
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Publication:2294434
DOI10.1016/j.enganabound.2019.12.009zbMath1464.65217OpenAlexW2998533039WikidataQ114183348 ScholiaQ114183348MaRDI QIDQ2294434
Heng Hu, Yao Koutsawa, Jie Yang, Michel Potier-Ferry
Publication date: 11 February 2020
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2019.12.009
convergence accelerationTaylor seriescurvilinear coordinatespartial differential equationsexterior domains
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical summation of series (65B10)
Uses Software
Cites Work
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- Stable generalized finite element method (SGFEM)
- A boundary meshless method with shape functions computed from the PDE
- Perturbations singulières dans les problèmes aux limites et en contrôle optimal
- Some comments on the ill-conditioning of the method of fundamental solutions
- Multi-point Taylor approximations in one-dimensional linear boundary value problems
- A Taylor series method for the numerical solution of two-point boundary value problems
- A powerful finite element for plate bending
- The method of fundamental solutions for elliptic boundary value problems
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- Solving the stationary Navier-Stokes equations by using Taylor meshless method
- On the ill-conditioned nature of \(C^\infty\) RBF strong collocation
- Taylor meshless method for solving non-linear partial differential equations
- A new method of fundamental solutions applied to nonhomogeneous elliptic problems
- Performance of the Taylor series method for ODEs/DAEs
- Many names of the Trefftz method
- Overlapping domain decomposition method by radial basis functions
- Error estimates and condition numbers for radial basis function interpolation
- Preconditioning for radial basis functions with domain decomposition methods
- Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series
- Coupling of polynomial approximations with application to a boundary meshless method
- Evaluating Derivatives
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Handbook of Floating-Point Arithmetic
- Large finite elements method for the solution of problems in the theory of elasticity
- Solving Ordinary Differential Equations Using Taylor Series
- Hybrid trefftz plane elasticity elements withp -method capabilities
- ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES
- Connectivity as an alternative to boundary integral equations: Construction of bases
- Survey of trefftz-type element formulations
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Directions for computing truncated multivariate Taylor series
- Evaluating higher derivative tensors by forward propagation of univariate Taylor series
- Least‐square collocation and Lagrange multipliers forTaylor meshless method
- Convergence acceleration during the 20th century
- Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems
- Trefftz method: An overview