Author: Steve Bryson; Yekaterina Epshteyn; Alexander Kurganov; Guergana Petrova;

Title: WELL-BALANCED POSITIVITY PRESERVING CENTRAL-UPWIND SCHEME ON TRIANGULAR GRIDS FOR THE SAINT-VENANT SYSTEM

Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Volume: 45

Page: 423 - 446

Year: 2011


Author: Haseena Saran; Hailiang Liu;

Title: ALTERNATING EVOLUTION SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

Journal: SIAM JOURNAL ON SCIENTIFIC COMPUTING

Volume: 33

Page: 3210 - 3240

Year: 2011


Author: Alina Chertock; Charles R. Doering; Eugene Kashdan; Alexander Kurganov;

Title: A Fast Explicit Operator Splitting Method for Passive Scalar Advection

Journal: JOURNAL OF SCIENTIFIC COMPUTING

Volume: 45

Page: 200 - 214

Year: 2010


Author: Christopher J. Greenshields; Henry G. Weller; Luca Gasparini; Jason M. Reese;

Title: Implementation of semi-discrete, non-staggered central schemes in a polyhedral colocated;, finite volume framework, for high-speed viscous flows

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Volume: 63

Page: 1 - 21

Year: 2010


Author: P. Orsini; H. Power; H. Morvan; M. Lees;

Title: An implicit upwinding volume element method based on meshless radial basis function techniques for modelling transport phenomena

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Volume: 81

Page: 1 - 27

Year: 2010


Author: Tobias F. Illenseer; Wolfgang J. Duschl;

Title: Two-dimensional central-upwind schemes for curvilinear grids and application to gas dynamics with angular momentum

Journal: COMPUTER PHYSICS COMMUNICATIONS

Volume: 180

Page: 2283 - 2302

Year: 2009


Author: Igor Kliakhandler; Alexander Kurganov;

Title: Quasi-Lagrangian Acceleration of Eulerian Methods

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 6

Page: 743 - 757

Year: 2009


Author: Alexander Kurganov; Anthony Polizzi;

Title: NON-OSCILLATORY CENTRAL SCHEMES FOR TRAFFIC FLOW MODELS WITH ARRHENIUS LOOK-AHEAD DYNAMICS

Journal: NETWORKS AND HETEROGENEOUS MEDIA

Volume: 4

Page: 431 - 451

Year: 2009


Author: Yekaterina Epshteyn; Ahmet Izmirlioglu;

Title: Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model

Journal: JOURNAL OF SCIENTIFIC COMPUTING

Volume: 40

Page: 211 - 256

Year: 2009


Author: Yekaterina Epshteyn;

Title: Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

Journal: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Volume: 224

Page: 168 - 181

Year: 2009


Author: Alexander Kurganov; Guergana Petrova;

Title: CENTRAL-UPWIND SCHEMES FOR TWO-LAYER SHALLOW WATER EQUATIONS

Journal: SIAM JOURNAL ON SCIENTIFIC COMPUTING

Volume: 31

Page: 1742 - 1773

Year: 2009


Author: Alina Chertock; Alexander Kurganov;

Title: A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

Journal: NUMERISCHE MATHEMATIK

Volume: 111

Page: 169 - 205

Year: 2008


Author: Alina Chertock; Smadar Karni; Alexander Kurganov;

Title: INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS

Journal: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Volume: 42

Page: 991 - 1019

Year: 2008


Author: Alina Chertock; Alexander Kurganov;

Title: A SIMPLE EULERIAN FINITE-VOLUME METHOD FOR COMPRESSIBLE FLUIDS IN DOMAINS WITH MOVING BOUNDARIES

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 6

Page: 531 - 556

Year: 2008


Author: Guoxi Ni; Song Jiang; Kun Xu;

Title: A DGBGK scheme based on WENO limiters for viscous and inviscid flows

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 227

Page: 5799 - 5815

Year: 2008


Author: Yekaterina Epshteyn; Alexander Kurganov;

Title: NEW INTERIOR PENALTY DISCONTINUOUS GALERKIN METHODS FOR THE KELLER-SEGEL CHEMOTAXIS MODEL

Journal: SIAM JOURNAL ON NUMERICAL ANALYSIS

Volume: 47

Page: 386 - 408

Year: 2008


Author: Yingjie Liu; Chi-Wang Shu; Eitan Tadmor; Mengping Zhang;

Title: Non-oscillatory hierarchical reconstruction for central and finite volume schemes

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 2

Page: 933 - 963

Year: 2007


Author: Chi-Tien Lin; Xu-Dong Liu;

Title: Convex ENO schemes for hamilton-jacobi equations

Journal: JOURNAL OF SCIENTIFIC COMPUTING

Volume: 31

Page: 195 - 211

Year: 2007


Author: Alina Chertock; Alexander Kurganov; Yurii Rykov;

Title: A new sticky particle method for pressureless gas dynamics

Journal: SIAM JOURNAL ON NUMERICAL ANALYSIS

Volume: 45

Page: 2408 - 2441

Year: 2007


Author: Yingjie Liu; Chi-Wang Shu; Eitan Tadmor; Mengping Zhang;

Title: Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction

Journal: SIAM JOURNAL ON NUMERICAL ANALYSIS

Volume: 45

Page: 2442 - 2467

Year: 2007