Numerical Methods for Solving Nonlinear Equations

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: adaptive accelerated proximal gradient method; Banach algebras; Banach space; Bates model; convergence; criterion; error estimates; fixed point theory; Fredholm integral equation; frozen Jacobian multi-step iterative method; functional equations; generalized three-step numerical method; high-order convergence; improved trapezoidal quadrature formula; integral equation; iteration functions; iterative method; iterative methods; iterative numerical methods; Kronecker product; local convergence; Mathematics and Science; multi-point iterative methods; Newton-accelerated proximal gradient method; Newton’s method; nonlinear equation; nonlinear systems; optimization algorithm; PIDE; polynomial zeros; posteriori error estimate; proportional delay; RBF-FD; Reference, Information and Interdisciplinary subjects; Research and information: general; Richardson extrapolation; Schauder bases; semi-discretiztion; semilocal convergence; sperm swarm optimization algorithm; stochastic volatility; Sylvester matrix equation; system of nonlinear equations; weakly singular kernel Volterra integral equation
• ISBN: 3036592148; 9783036592145; 3036592156; 9783036592152
• DOI: 10.3390/books978-3-0365-9215-2

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.