Numerical solution to time-dependent 4D inviscid Burgers' equations (Q463664)

scientific article; zbMATH DE number 6357594

Language	Label	Description	Also known as
English	Numerical solution to time-dependent 4D inviscid Burgers' equations	scientific article; zbMATH DE number 6357594

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instance of

scholarly article

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title

Numerical solution to time-dependent 4D inviscid Burgers' equations (English)

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Engineering Analysis with Boundary Elements

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publication date

17 October 2014

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zbMATH Keywords

time dependent

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inviscid 4D Burgers' equations

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\(C^\infty\) radial basis functions

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overlapping domain decomposition

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extended precision arithmetic

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describes a project that uses

Matlab

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.enganabound.2013.01.003

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cites work

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Dimension-adaptive tensor-product quadrature

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The role of the multiquadric shape parameters in solving elliptic partial differential equations

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Miscellaneous error bounds for multiquadric and related interpolators

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Interpolation in the limit of increasingly flat radial basis functions

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Analytic wavelets generated by radial functions

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations

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A domain decomposition method based on the iterative operator splitting method

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Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations

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A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations

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Q4818269

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Domain decomposition for radial basis meshless methods

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Numerical simulation of two-dimensional combustion using mesh-free methods

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Stable and Convergent Unsymmetric Meshless Collocation Methods

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Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary

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Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method

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On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs

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High-precision numerical integration: progress and challenges

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Pin-pointing solution of ill-conditioned square systems of linear equations

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Stable PDE Solution Methods for Large Multiquadric Shape Parameters

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The Scaling and Squaring Method for the Matrix Exponential Revisited

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Exact explicit time integration of hyperbolic partial differential equations with mesh-free radial basis functions

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Wavelet Based Adaptive RBF Method for Nearly Singular Poisson-Type Problems on Irregular Domains

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Radial basis function interpolation on irregular domain through conformal transplantation

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Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions

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Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation

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Identifiers

zbMATH Open document ID

1297.65129

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Mathematics Subject Classification ID

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10.1016/J.ENGANABOUND.2013.01.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:463664