A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

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Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview

(2012) Heike Emmerich et al.   ADVANCES IN PHYSICS

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

(2012) Qiang Du et al.   SIAM REVIEW

Dynamic density functional theory of solid tumor growth: Preliminary models

(2012) Arnaud Chauviere et al.   AIP Advances

Long-time integration methods for mesoscopic models of pattern-forming systems

(2011) Nasser Mohieddin Abukhdeir et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Unconditionally stable schemes for equations of thin film epitaxy

(2010) Steven Wise et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations

(2010) S. M. Wise   JOURNAL OF SCIENTIFIC COMPUTING

Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

(2010) Kun Zhou et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A semi-implicit spectral method for stochastic nonlocal phase-field models

(2009) Tina Hartley et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

(2009) Z. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

(2009) S. M. Wise et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Three-dimensional multispecies nonlinear tumor growth—I

(2008) S.M. Wise et al.   JOURNAL OF THEORETICAL BIOLOGY

Colloidal Crystal Growth at Externally Imposed Nucleation Clusters

(2008) Sven van Teeffelen et al.   PHYSICAL REVIEW LETTERS

Efficient solution of a partial integro-differential equation in finance

(2007) E.W. Sachs et al.   APPLIED NUMERICAL MATHEMATICS