Generalized fractional algebraic linear system solvers
DOI10.1007/s10915-022-01785-zzbMath1487.65033OpenAlexW4221080670MaRDI QIDQ2113672
Emmanuel Lorin, Xavier Antoine
Publication date: 14 March 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01785-z
GMRESgradient methoditerative solverfractional PDEfractional linear systemsdifferential equation solver
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Fractional partial differential equations (35R11) Numerical computation of matrix exponential and similar matrix functions (65F60)
Uses Software
Cites Work
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- Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars
- Fractional Heisenberg equation
- Space-time fractional Schrödinger equation with time-independent potentials
- Fast and stable algorithms for computing the principal \(n\)th root of a complex matrix and the matrix sector function
- Fractional quantum mechanics and Lévy path integrals
- Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations
- A numerical study of fractional linear algebraic systems
- Fractional Schrödinger dynamics and decoherence
- Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers
- What is the fractional Laplacian? A comparative review with new results
- Time fractional Schrödinger equation revisited
- Fractals and quantum mechanics
- iPiano: Inertial Proximal Algorithm for Nonconvex Optimization
- A Padé family of iterations for the matrix sector function and the matrix p th root
- A Taxonomy for Conjugate Gradient Methods
- On the Newton Method for the Matrix Pth Root
- Mean field dynamics of boson stars
- Generalized fractional Schrödinger equation with space-time fractional derivatives
- Fractional Schrodinger wave equation and fractional uncertainty principle
- Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A Schur Algorithm for Computing Matrix pth Roots
- Time fractional Schrödinger equation
- ODE‐based double‐preconditioning for solving linear systems Aαx=b and f(A)x=b
- Rational Iterative Methods for the Matrix Sign Function
- A Schur–Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse
- Effective dynamics for boson stars
- Functions of Matrices
- An introduction to continuous optimization for imaging
- Hyperbolic Conservation Laws in Continuum Physics
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