The upper–crossing/solution (US) algorithm with strongly stable convergence and an acceleration technique for root–finding problems

Existence and iterative schemes of an infinite system of two-variable functional Fredholm-type Riemann–Liouville fractional integral equations

The Dirichlet-to-Neumann Operator and a Nonlinear Boundary Value Problem on the Disk: A Complete Fourier-Analytic Solution

A matrix-exponential-based stability test for high-dimensional dynamical systems across low-to-high sparsity regimes

A matrix-exponential-based criterion for stability analysis of continuous-time linear time-invariant (LTI) systems is presented. The proposed formulation establishes that a system matrix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy...

Diagonalization-based algorithms for all-at-once systems arising from linear delay differential equations

This paper develops diagonalization-based algorithms for all-at-once linear systems arising from linear delay differential equations and develops a parallel low-rank correction method which decomposes the correction equation into a collection of independent rank-one generalized Sylvester-type matrix equations.

Special two-derivative Runge–Kutta pairs with extended stability regions for handling linear inhomogeneous systems

Estimates of the gap between extreme solutions of nonlinear difference equations

We study bounded solutions of nonlinear difference equations on arbitrary index sets within a unified fixed-point framework. Working in the Banach lattice l∞(X,R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \...