A frequency-dependent \(p\)-adaptive technique for spectral methods
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Publication:2133518
DOI10.1016/j.jcp.2021.110627OpenAlexW3195988074MaRDI QIDQ2133518
Sihong Shao, Tom Chou, Mingtao Xia
Publication date: 29 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.02008
Schrödinger equationunbounded domainsHermite functionJacobi polynomialLaguerre functionadaptive spectral method
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Related Items
Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains, Adaptive Hermite spectral methods in unbounded domains
Cites Work
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- Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
- A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain
- Numerical solution of problems on unbounded domains. A review
- An iterative grid redistribution method for singular problems in multiple dimensions
- An adaptive \(hp\)-DG-FE method for elliptic problems: convergence and optimality in the 1D case
- Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials
- On \(p\)-robust saturation for \(hp\)-AFEM
- Computing nearly singular solutions using pseudo-spectral methods
- Spectral Methods
- Nineteen Dubious Ways to Compute the Exponential of a Matrix
- Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
- Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- PDE Models of Adder Mechanisms in Cellular Proliferation
- Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
- Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport
- Computation of the Schrödinger Equation in the Semiclassical Regime on an Unbounded Domain
- Jacobi interpolation approximations and their applications to singular differential equations