Numerical methods for nonlinear equations
From MaRDI portal
Publication:5230517
DOI10.1017/S0962492917000113zbMath1429.65108OpenAlexW2802921497MaRDI QIDQ5230517
Publication date: 28 August 2019
Published in: Acta Numerica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0962492917000113
Related Items
Semi-smooth Newton methods for nonlinear complementarity formulation of compositional two-phase flow in porous media, On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces, Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver, Anderson acceleration based on the \(\mathcal{H}^{- s}\) Sobolev norm for contractive and noncontractive fixed-point operators, Sketched Newton--Raphson, One-step convergence of inexact Anderson acceleration for contractive and non-contractive mappings, Anderson acceleration for a regularized Bingham model, The effect of Anderson acceleration on superlinear and sublinear convergence, Direct nonlinear acceleration, Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems, Newton-Anderson at Singular Points, Error estimates of finite difference methods for the biharmonic nonlinear Schrödinger equation, Surface, size and topological effects for some nematic equilibria on rectangular domains, Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier--Stokes Equations, Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines, Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation, Enabling convergence of the iterated penalty Picard iteration with \(O ( 1 )\) penalty parameter for incompressible Navier-Stokes via Anderson acceleration, A Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically), Generalized continuation Newton methods and the trust-region updating strategy for the underdetermined system, A simple extrapolation method for clustered eigenvalues, Continuation Newton methods with the residual trust-region time-stepping scheme for nonlinear equations, Acceleration of nonlinear solvers for natural convection problems, Mesh independence of the generalized Davidson algorithm, Benchmarking results for the Newton-Anderson method, Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration, Newton's Method in Mixed Precision
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Cites Work
- Choosing the Forcing Terms in an Inexact Newton Method
- GMRES and Integral Operators
- Numerical Methods for Bifurcations of Dynamical Equilibria
- Numerical Methods for Electronic Structure Calculations of Materials
- Convergence Analysis for Anderson Acceleration
- Pointwise Broyden Methods
- Local Improvement Results for Anderson Acceleration with Inaccurate Function Evaluations
- Pseudo-Transient Continuation for Nonsmooth Nonlinear Equations
- Newton's Method for Monte Carlo--Based Residuals
- Iterative Procedures for Nonlinear Integral Equations
- On the Kantorovich Hypothesis for Newton’s Method
- Some Efficient Algorithms for Solving Systems of Nonlinear Equations
- Quasi-Newton Methods for Discretized Non-linear Boundary Problems
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- SUNDIALS
- An analysis for the DIIS acceleration method used in quantum chemistry calculations
- Anderson acceleration and application to the three-temperature energy equations
- A mesh-independence result for semismooth Newton methods.
- Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems
- L\({}_{\infty}\) stability of finite element approximations to elliptic gradient equations
- Sublinear convergence of the chord method at singular points
- Experiments with implicit upwind methods for the Euler equations
- A pointwise quasi-Newton method for unconstrained optimal control problems
- Numerical methods for reaction-diffusion problems with non-differentiable kinetics
- Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
- Flame sheet starting estimates for counterflow diffusion flame problems
- Finite element approximation of a model reaction-diffusion problem with a non-Lipschitz nonlinearity
- Mesh independence of Newton-like methods for infinite dimensional problems
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Elements of applied bifurcation theory.
- A semismooth equation approach to the solution of nonlinear complementarity problems
- Krylov subspace acceleration for nonlinear multigrid schemes
- Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
- Smoothing trust region methods for nonlinear complementarity problems with \(P_0\)-functions
- Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics.
- Inexact Newton methods for solving nonsmooth equations
- Convergence estimates for solution of integral equations with GMRES
- A characterization of the behavior of the Anderson acceleration on linear problems
- Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption
- A nonsmooth version of Newton's method
- An assessment of coupling algorithms for nuclear reactor core physics simulations
- Trust-region methods on Riemannian manifolds
- Minimization of functions having Lipschitz continuous first partial derivatives
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- GMRES and the minimal polynomial
- Nonlinear Krylov and moving nodes in the method of lines
- Convergence of algorithms for perturbed optimization problems
- Nonmonotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems
- Numerical Computing with IEEE Floating Point Arithmetic
- Hybrid Deterministic/Monte Carlo Neutronics
- Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
- Two classes of multisecant methods for nonlinear acceleration
- A Quasi-Newton Method for Elliptic Boundary Value Problems
- Convergence Theorems for Least-Change Secant Update Methods
- Anderson Acceleration for Fixed-Point Iterations
- A New Nonsmooth Equations Approach to Nonlinear Complementarity Problems
- Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method
- Nonsmooth Equations: Motivation and Algorithms
- Fast secant methods for the iterative solution of large nonsymmetric linear systems
- Recent computational developments in Krylov subspace methods for linear systems
- An overview of the Trilinos project
- Direct minimization for calculating invariant subspaces in density functional computations of the electronic structure
- Projected Pseudotransient Continuation
- A Mesh-Independence Principle for Operator Equations and Their Discretizations
- Convergence domains of certain iterative methods for solving nonlinear equations
- Least Change Secant Updates for Quasi-Newton Methods
- Newton’s Method at Singular Points. I
- Inexact Newton Methods
- On the Solution of Large Quadratic Programming Problems with Bound Constraints
- Newton's method solver for the axisymmetric Navier-Stokes equations
- Fast Algorithms for Nonsmooth Compact Fixed-Point Problems
- Semismooth and Semiconvex Functions in Constrained Optimization
- On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
- Numerical Optimization
- Multilevel Algorithms for Constrained Compact Fixed Point Problems
- Towards Polyalgorithmic Linear System Solvers for Nonlinear Elliptic Problems
- A special newton-type optimization method
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- Convergence Analysis of Pseudo-Transient Continuation
- Design and Application of a Gradient-Weighted Moving Finite Element Code II: in Two Dimensions
- Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
- Pseudotransient Continuation and Differential-Algebraic Equations
- Flexible Inner-Outer Krylov Subspace Methods
- Trust Region Methods
- Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
- Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows
- Mesh Independence of Matrix-Free Methods for Path Following
- Trust Region Algorithms and Timestep Selection
- A Multigrid Preconditioned Newton--Krylov Method
- Solution of Optimal Control Problems by a Pointwise Projected Newton Method