Foundations of Computational Mathematics

• Open Access

Second-Order Optimality and Beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization

Coralia Cartis, Nick I. M. Gould, Philippe L. Toint

Runge–Kutta Time Discretization of Nonlinear Parabolic Equations Studied via Discrete Maximal Parabolic Regularity

Peer C. Kunstmann, Buyang Li, Christian Lubich

A Geometric Analysis of Phase Retrieval

Ju Sun, Qing Qu, John Wright

Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods

Guoyin Li, Ting Kei Pong

Almost Every Real Quadratic Polynomial has a Poly-time Computable Julia Set

Artem Dudko, Michael Yampolsky

An Approximate Nerve Theorem

Dejan Govc, Primoz Skraba