A Class of Sparse Spectral Operators for Inversion of Powers of the Laplacian in N Dimensions
Journal of Scientific Computing
A Rational Approximation and Its Applications to Differential Equations on the Half Line
Journal of Scientific Computing
An efficient spectral-projection method for the Navier--Stokes equations in cylindrical geometries
Journal of Computational Physics
A mixed-basis spectral projection method
Journal of Computational Physics
Accurate ω-ψ spectral solution of the singular driven cavity problem
Journal of Computational Physics
Numerical investigation on the stability of singular driven cavity flow
Journal of Computational Physics
Essential imposition of Neumann condition in Galerkin-Legendre elliptic solvers
Journal of Computational Physics
A new class of truly consistent splitting schemes for incompressible flows
Journal of Computational Physics
Journal of Computational Physics
Stokes eigenmodes in square domain and the stream function-vorticity correlation
Journal of Computational Physics
Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials
Journal of Scientific Computing
A Legendre spectral element method for eigenvalues in hydrodynamic stability
Journal of Computational and Applied Mathematics
Journal of Computational Physics
A Legendre spectral method in time for first-order hyperbolic equations
Applied Numerical Mathematics
Fourierization of the Legendre--Galerkin method and a new space--time spectral method
Applied Numerical Mathematics
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
Journal of Computational Physics
An efficient direct parallel spectral-element solver for separable elliptic problems
Journal of Computational Physics
Spectral solvers for spherical elliptic problems
Journal of Computational Physics
The Chebyshev-Legendre collocation method for a class of optimal control problems
International Journal of Computer Mathematics
Efficient spectral-Galerkin methods for polar and cylindrical geometries
Applied Numerical Mathematics
Journal of Computational Physics
Journal of Scientific Computing
An efficient moving mesh spectral method for the phase-field model of two-phase flows
Journal of Computational Physics
Generalized Jacobi polynomials/functions and their applications
Applied Numerical Mathematics
Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains
Journal of Scientific Computing
A rational spectral method for the KdV equation on the half line
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature
Journal of Approximation Theory
Combinations of collocation and finite-element methods for Poisson's equation
Computers & Mathematics with Applications
Optimal Error Estimates of the Legendre Tau Method for Second-Order Differential Equations
Journal of Scientific Computing
Numerical solution of the Poisson equation over hypercubes using reduced Chebyshev polynomial bases
Journal of Computational and Applied Mathematics
ADI spectral collocation methods for parabolic problems
Journal of Computational Physics
Journal of Computational and Applied Mathematics
A Legendre Petrov-Galerkin method for fourth-order differential equations
Computers & Mathematics with Applications
An improved a posteriori error estimate for the Galerkin spectral method in one dimension
Computers & Mathematics with Applications
Matrix decomposition algorithms for elliptic boundary value problems: a survey
Numerical Algorithms
Journal of Computational Physics
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation
Journal of Scientific Computing
Journal of Computational Physics
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems
SIAM Journal on Scientific Computing
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Jacobi spectral method with essential imposition of Neumann boundary condition
Applied Numerical Mathematics
Journal of Computational Physics
A fourth order finite difference method for the Dirichlet biharmonic problem
Numerical Algorithms
A GPU parallelized spectral method for elliptic equations in rectangular domains
Journal of Computational Physics
A Spectral-Element Method for Transmission Eigenvalue Problems
Journal of Scientific Computing
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