Mollification of Fourier spectral methods with polynomial kernels
From MaRDI portal
Publication:6551569
DOI10.1002/mma.9845zbMath1547.65198MaRDI QIDQ6551569
Megha Puthukkudi, Chandhini Godavarma Raja
Publication date: 7 June 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations
- A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
- The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations
- Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method
- The Chebyshev spectral viscosity method for the time dependent eikonal equation
- Detection of edges in spectral data III-refinement of the concentration method
- The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
- Robust reprojection methods for the resolution of the Gibbs phenomenon
- Idempotent filtering in spectral and spectral element methods
- Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities
- Construction of Lanczos type filters for the Fourier series approximation
- Family of spectral filters for discontinuous problems
- On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
- Towards the resolution of the Gibbs phenomena.
- Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
- Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions
- Spectral methods for the computation of discontinuous solutions
- Filtering non-periodic functions
- Gibbs phenomenon removal by adding Heaviside functions
- Enhanced spectral viscosity approximations for conservation laws
- Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative
- Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks
- Exclusive robustness of Gegenbauer method to truncated convolution errors
- An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions
- Spectral methods in the presence of discontinuities
- Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems
- Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions
- Padé-Legendre interpolants for Gibbs reconstruction
- Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method
- An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics
- Spectral Methods
- Convergence acceleration of modified Fourier series in one or more dimensions
- Optimal filter and mollifier for piecewise smooth spectral data
- Spectral Methods for Time-Dependent Problems
- Fourier--Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem
- Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
- Convergence of Spectral Methods for Nonlinear Conservation Laws
- Spectral Simulation of Supersonic Reactive Flows
- Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws
- Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
- Complete algebraic reconstruction of piecewise-smooth functions from Fourier data
- Adaptive filters for piecewise smooth spectral data*
- A Padé-based algorithm for overcoming the Gibbs phenomenon
This page was built for publication: Mollification of Fourier spectral methods with polynomial kernels