Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

A New Approach for a Nonlocal, Nonlinear Conservation Law

(2012) Qiang Du et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Variational theory and domain decomposition for nonlocal problems

(2011) Burak Aksoylu et al.   APPLIED MATHEMATICS AND COMPUTATION

CLASSICAL, NONLOCAL, AND FRACTIONAL DIFFUSION EQUATIONS ON BOUNDED DOMAINS

(2011) Nathanial Burch et al.   International Journal for Multiscale Computational Engineering

Continuous-time random walks on bounded domains

(2011) Nathanial Burch et al.   PHYSICAL REVIEW E

Symmetric jump processes: Localization, heat kernels and convergence

(2010) Richard F. Bass et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Continuous and discontinuous finite element methods for a peridynamics model of mechanics

(2010) X. Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Mathematical analysis for the peridynamic nonlocal continuum theory

(2010) Qiang Du et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

The peridynamic formulation for transient heat conduction

(2010) Florin Bobaru et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Statistical ranking and combinatorial Hodge theory

(2010) Xiaoye Jiang et al.   MATHEMATICAL PROGRAMMING

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

(2010) Max Gunzburger et al.   MULTISCALE MODELING & SIMULATION

Results on Nonlocal Boundary Value Problems

(2010) Burak Aksoylu et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Partial differences as tools for filtering data on graphs

(2010) Olivier Lézoray et al.   PATTERN RECOGNITION LETTERS

Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit

(2010) Jian-Guo Liu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

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

Image Denoising Methods. A New Nonlocal Principle

(2010) A. Buades et al.   SIAM REVIEW

Matrix approach to discrete fractional calculus II: Partial fractional differential equations

(2009) Igor Podlubny et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Image Recovery via Nonlocal Operators

(2009) Yifei Lou et al.   JOURNAL OF SCIENTIFIC COMPUTING

Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?

(2009) Gilles Aubert et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Perspective on theories of non-Fickian transport in heterogeneous media

(2008) Shlomo P. Neuman et al.   ADVANCES IN WATER RESOURCES

Nonlocal Operators with Applications to Image Processing

(2008) Guy Gilboa et al.   MULTISCALE MODELING & SIMULATION

Non-local Dirichlet forms and symmetric jump processes

(2008) Martin T. Barlow et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY