Computing with Functions in the Ball
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Publication:5132036
DOI10.1137/19M1297063zbMath1452.65001arXiv1911.00114MaRDI QIDQ5132036
Publication date: 9 November 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00114
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Software, source code, etc. for problems pertaining to numerical analysis (65-04)
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Approximation properties of the double Fourier sphere method, A double Fourier sphere method for \(d\)-dimensional manifolds, Optimal error estimates of spectral Galerkin method for mixed diffusion equations
Uses Software
Cites Work
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- The automatic solution of partial differential equations using a global spectral method
- Fast shallow-water equation solvers in latitude-longitude coordinates
- Numerical modeling of magnetohydrodynamic convection in a rapidly rotating spherical shell: Weak and strong field dynamo action
- Spectral collocation schemes on the unit disc
- Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series
- Poloidal-toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations
- Poloidal-toroidal decomposition in a finite cylinder. II: Discretization, regularization and validation
- A numerical method for solving incompressible viscous flow problems
- An Introduction to Magnetohydrodynamics
- A Fast and Well-Conditioned Spectral Method
- Chopping a Chebyshev Series
- Extension of Chebfun to Periodic Functions
- A radial basis function method for the shallow water equations on a sphere
- The Approximation of Vector Functions and Their Derivatives on the Sphere
- Magnetohydrodynamic Ekman and Stewartson layers in a rotating spherical shell
- Solution of the Sylvester matrix equation AXB T + CXD T = E
- Spectral Methods in MATLAB
- Magnetohydrodynamics in Rapidly Rotating spherical Systems
- A Nonuniform Fast Fourier Transform Based on Low Rank Approximation
- Fast polynomial transforms based on Toeplitz and Hankel matrices
- An Extension of MATLAB to Continuous Functions and Operators
- Convection driven magnetohydrodynamic dynamos in rotating spherical shells
- A Pseudospectral Approach for Polar and Spherical Geometries
- Computing with Functions in Spherical and Polar Geometries II. The Disk
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Chebfun in Three Dimensions
- An Extension of Chebfun to Two Dimensions
- Orthogonal Polynomials of Several Variables
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- Implementing Clenshaw-Curtis quadrature, I methodology and experience
- Recent progress in understanding the transition to turbulence in a pipe
- Computing with Functions in Spherical and Polar Geometries I. The Sphere
- Application of double Fourier series to the shallow water equations on a sphere
- A three-dimensional pseudospectral method for rotating flows in a cylinder
