83 citations · 462 across the 52 of their papers we have counts for
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math.NA2014★ 1 cited
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations
Wolfgang Dahmen, Ronald DeVore, Lars Grasedyck +1
A recurring theme in attempts to break the curse of dimensionality in the numerical approximations of solutions to high-dimensional partial differential equations (PDEs) is to empl…
math.AP2014★ 1 cited
Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers
John W. Barrett, Endre Süli
We prove the existence of global-in-time weak solutions to a general class of models that arise from the kinetic theory of dilute solutions of nonhomogeneous polymeric liquids, whe…
math.NA2014★ 34 cited
Discontinuous Galerkin finite element methods for time-dependent Hamilton--Jacobi--Bellman equations with Cordes coefficients
Iain Smears, Endre Süli
We propose and analyse a fully-discrete discontinuous Galerkin time-stepping method for parabolic Hamilton--Jacobi--Bellman equations with Cordes coefficients. The method is consis…