Isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection–diffusion problems

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J.R. Hughes, J. Austin Cottrell, Yuri Bazilevs · Computer Methods in Applied Mechanics and Engineering · 2005 · 6.2K citations · Full text

Computing, Computational Engineering, Computer Science +17

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

Natural Sciences, Mathematics, Computational Mechanics +16

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 · 3.3K citations

Natural Sciences, Computational Engineering, Physics +17

A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling

Patrick Amestoy, Iain Duff, Jean-Yves L’Excellent et al. · SIAM Journal on Matrix Analysis and Applications · 2001 · 2.2K citations

Computing, Computer Engineering, Computer Science +17

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

Engineering, Mechanical Engineering, Computational Heat Transfer +6