Self-adaptive operator splitting methods for monotone variational inequalities

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.2K citations

Numerical Analysis, Engineering, Fluid Properties +12

Splitting Algorithms for the Sum of Two Nonlinear Operators

Pierre‐Louis Lions, Bertrand Mercier · SIAM Journal on Numerical Analysis · 1979 · 2K citations

Numerical Analysis, Linear Operator, Engineering +10

On the numerical solution of heat conduction problems in two and three space variables

Jim Douglas, H.H. Rachford · Transactions of the American Mathematical Society · 1956 · 1.7K citations

Numerical Analysis, Method Of Fundamental Solution, Space Variables +11

A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings

Paul Tseng · SIAM Journal on Control and Optimization · 2000 · 1.2K citations

Mathematical Programming, Numerical Analysis, Conic Optimization +13

Constrained minimization methods

E. S. Levitin, B. T. Polyak · USSR Computational Mathematics and Mathematical Physics · 1966 · 835 citations

Numerical Analysis, Engineering, Minimization Methods +4