Towards stable radial basis function methods for linear advection problems (Q2658827)

scientific article; zbMATH DE number 7327230

Language	Label	Description	Also known as
English	Towards stable radial basis function methods for linear advection problems	scientific article; zbMATH DE number 7327230

Statements

instance of

scholarly article

0 references

title

Towards stable radial basis function methods for linear advection problems (English)

0 references

0 references

0 references

0 references

24 March 2021

0 references

full work available at URL

https://arxiv.org/abs/2101.09623

0 references

zbMATH Keywords

linear advection

0 references

radial basis function methods

0 references

energy stability

0 references

flux reconstruction

0 references

simultaneous approximation terms

0 references

describes a project that uses

0 references

0 references

0 references

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

0 references

An efficient numerical scheme for Burger equation

0 references

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

0 references

A numerical study of some radial basis function based solution methods for elliptic PDEs

0 references

Computing eigenmodes of elliptic operators using radial basis functions

0 references

A Primer on Radial Basis Functions with Applications to the Geosciences

0 references

Q3213564

0 references

Hyperbolic Conservation Laws in Continuum Physics

0 references

Shock capturing and high-order methods for hyperbolic conservation laws

0 references

Eigenvalue stability of radial basis function discretizations for time-dependent problems

0 references

Error estimates and condition numbers for radial basis function interpolation

0 references

Stability of radial basis function methods for convection problems on the circle and sphere

0 references

Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations

0 references

Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators

0 references

Artificial viscosity for correction procedure via reconstruction using summation-by-parts operators

0 references

Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods

0 references

Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods

0 references

Using $\ell _1$ regularization to improve numerical partial differential equation solvers

0 references

Numerical analysis for conservation laws using $l_1$ minimization

0 references

High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods

0 references

Filtering in Legendre spectral methods

0 references

Application of modal filtering to a spectral difference method

0 references

Shock capturing by Bernstein polynomials for scalar conservation laws

0 references

Hybrid compact-WENO finite difference scheme with conjugate Fourier shock detection algorithm for hyperbolic conservation laws

0 references

Q4692703

0 references

Q4875410

0 references

Review of summation-by-parts schemes for initial-boundary-value problems

0 references

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations

0 references

Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems

0 references

A roadmap to well posed and stable problems in computational physics

0 references

A new class of high-order energy stable flux reconstruction schemes

0 references

A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods

0 references

Summation-by-parts operators for correction procedure via reconstruction

0 references

Stability of correction procedure via reconstruction with summation-by-parts operators for Burgers' equation using a polynomial chaos approach

0 references

Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points

0 references

Stable high-order quadrature rules with equidistant points

0 references

Stable High Order Quadrature Rules for Scattered Data and General Weight Functions

0 references

On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes

0 references

TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

0 references

The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

0 references

Radial Basis Functions

0 references

Q3446085

0 references

Solving PDEs with radial basis functions

0 references

Q5698996

0 references

Finite Volume Methods for Hyperbolic Problems

0 references

Total-Variation-Diminishing Time Discretizations

0 references

Total variation diminishing Runge-Kutta schemes

0 references

From Semidiscrete to Fully Discrete: Stability of Runge--Kutta Schemes by The Energy Method

0 references

Strong stability-preserving high-order time discretization methods

0 references

Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations

0 references

Q5189317

0 references

Q4550961

0 references

On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy

0 references

Observations on the behavior of radial basis function approximations near boundaries

0 references

Q4889859

0 references

Entropy-stable, high-order summation-by-parts discretizations without interface penalties

0 references

A general framework to construct schemes satisfying additional conservation relations. Application to entropy conservative and entropy dissipative schemes

0 references

Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation

0 references

Error boundedness of discontinuous Galerkin methods with variable coefficients

0 references

On conservation and stability properties for summation-by-parts schemes

0 references

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

0 references

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

0 references

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

0 references

Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

0 references

Numerical Evaluation of Multiple Integrals

0 references

Q4158394

0 references

Q3875198

0 references

Q3510853

0 references

Cubature, Approximation, and Isotropy in the Hypercube

0 references

The Monte Carlo Method

0 references

Q4003879

0 references

Q4215355

0 references

High-dimensional integration: The quasi-Monte Carlo way

0 references

Necessary and Sufficient Conditions for Equidistant Quadrature Formula

0 references

Discrete Least Squares and Quadrature Formulas

0 references

Error Bounded Schemes for Time-dependent Hyperbolic Problems

0 references

Q3406177

0 references

published in

Computers & Mathematics with Applications

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.CAMWA.2021.01.012

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2658827