Numerical Methods for Solving Nonlinear Equations

• Other Authors: Berenguer, Maria Isabel (Editor), Ruiz Galán, Manuel (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; multi-point iterative methods; iteration functions; polynomial zeros; local convergence; error estimates; semilocal convergence; weakly singular kernel Volterra integral equation; proportional delay; improved trapezoidal quadrature formula; Richardson extrapolation; posteriori error estimate; iterative numerical methods; Schauder bases; Fredholm integral equation; Sylvester matrix equation; Kronecker product; adaptive accelerated proximal gradient method; Newton-accelerated proximal gradient method; generalized three-step numerical method; convergence; Banach space; nonlinear equation; criterion; integral equation; iterative method; frozen Jacobian multi-step iterative method; system of nonlinear equations; high-order convergence; Banach algebras; fixed point theory; functional equations; PIDE; stochastic volatility; semi-discretiztion; RBF-FD; Bates model; nonlinear systems; Newton's method; iterative methods; sperm swarm optimization algorithm; optimization algorithm
• Online Access: DOAB: download the publication; DOAB: description of the publication

The present reprint contains 10 articles which have been published in a Special Issue of MDPI's journal Mathematics titled, 'Numerical Methods for Solving Nonlinear Equations', covering a wide range of topics on the numerical methods for solving nonlinear differential equations, nonlinear integral equations, nonlinear integro-differential equations, nonlinear variational equations, nonlinear optimization problems, nonlinear control problems, equilibrium problems or nonlinear algebraic equations.