Choice of an initial guess for Newton's method to solve nonlinear differential equations
DOI10.1016/j.camwa.2022.04.013OpenAlexW4225388162WikidataQ115359472 ScholiaQ115359472MaRDI QIDQ2147299
Sang Dong Kim, Byeong Chun Shin, Hayoung Choi
Publication date: 23 June 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.04.013
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- The least-squares pseudo-spectral method for Navier-Stokes equations
- Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem
- Trust-region based solver for nonlinear transport in heterogeneous porous media
- A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems
- The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients
- Convergence analysis of an iterative scheme for solving initial value problem for multidimensional partial differential equations
- An accelerated method for nonlinear elliptic PDE
- Efficient reordered nonlinear Gauss-Seidel solvers with higher order for black-oil models
- A parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU cluster
- Newton's method for the Navier-Stokes equations with finite element initial guess of Stokes equations
- Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics
- Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations
- Finite Element Methods for Navier-Stokes Equations
- Rate optimal adaptive FEM with inexact solver for nonlinear operators
- Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations
- Newton-Based Solvers for Nonlinear PDEs in Finance
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- A review of numerical methods for nonlinear partial differential equations
- Solving high-dimensional partial differential equations using deep learning
- A Multilevel Nonlinear Method
- The Hydromagnetic Equations
This page was built for publication: Choice of an initial guess for Newton's method to solve nonlinear differential equations
