Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
DOI10.1016/j.jcp.2022.111513OpenAlexW4289597974WikidataQ113871665 ScholiaQ113871665MaRDI QIDQ2168333
Pingwen Zhang, Bing Yu, Xiangcheng Zheng, Lei Zhang
Publication date: 31 August 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03141
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) Miscellaneous topics in partial differential equations (35Rxx)
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Cites Work
- Unnamed Item
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Spectral direction splitting methods for two-dimensional space fractional diffusion equations
- Variable order and distributed order fractional operators
- Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
- Solution landscape of the Onsager model identifies non-axisymmetric critical points
- Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain
- A fractional phase-field model using an infinitesimal generator of \(\alpha\) stable Lévy process
- A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
- Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
- Searching the solution landscape by generalized high-index saddle dynamics
- A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations
- Optimization-based Shrinking Dimer Method for Finding Transition States
- Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- Spectral Methods
- The gentlest ascent dynamics
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Morse Theory. (AM-51)
- Introduction to Numerical Continuation Methods
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Analysis and Approximation of a Fractional Cahn--Hilliard Equation
- Solution landscape of a reduced Landau–de Gennes model on a hexagon
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Variable-order space-fractional diffusion equations and a variable-order modification of constant-order fractional problems
- Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
- Well-posedness, regularity and asymptotic analyses for a fractional phase field system
- An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes
- Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models
- Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
- Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications
- High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points
- Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations
- Numerical methods for nonlocal and fractional models
- Modelling and computation of liquid crystals
- Numerical methods for fractional diffusion
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