Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems
From MaRDI portal
Publication:617073
DOI10.1007/BF02728989zbMath1203.65071MaRDI QIDQ617073
Dana A. Knoll, Vincent Mousseau, Luis Chacón, J. M. Reisner
Publication date: 20 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10)
Related Items
Implicitly balanced solution of the two-phase flow equations coupled to nonlinear heat conduction, \texttt{Tusas}: a fully implicit parallel approach for coupled phase-field equations, Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model, A communication-avoiding implicit-explicit method for a free-surface ocean model, A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem, A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations, XTOR-2F: a fully implicit Newton-Krylov solver applied to nonlinear 3D extended MHD in tokamaks, An iterative semi-implicit scheme with robust damping, Preconditioning a Newton-Krylov solver for all-speed melt pool flow physics, Splitting methods for the numerical solution of multi-component mass transfer problems, Implicit time schemes for compressible fluid models based on relaxation methods, On a semi-implicit scheme for spectral simulations of dispersive magnetohydrodynamics, On physics-based preconditioning of the Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On acceleration methods for coupled nonlinear elliptic systems
- Derivation of implicit difference schemes by the method of differential approximation
- Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
- Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamic computations
- A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver
- A 2D high-\(\beta\) hall MHD implicit nonlinear solver.
- An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows.
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
- An implicit, nonlinear reduced resistive MHD solver
- An implicit, almost-Lagrangian algorithm for magnetohydrodynamics
- Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability
- On balanced approximations for time integration of multiple time scale systems.
- A numerical fluid dynamics calculation method for all flow speeds
- On Preconditioning Newton--Krylov Methods in Solidifying Flow Applications
- A Multigrid-Preconditioned Newton--Krylov Method for the Incompressible Navier--Stokes Equations
- Hybrid Krylov Methods for Nonlinear Systems of Equations
- Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms
- Inexact Newton Methods
- Magnetic Reconnection
- Choosing the Forcing Terms in an Inexact Newton Method
