Also known as: Alina E Chertock

2022 journal article

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

*JOURNAL OF SCIENTIFIC COMPUTING*, *1*.

Sources: Web Of Science, ORCID

Added: November 29, 2021

2021 journal article

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

*JOURNAL OF SCIENTIFIC COMPUTING*, *11*.

Sources: Web Of Science, ORCID

Added: October 26, 2021

2020 journal article

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

*COMMUNICATIONS IN COMPUTATIONAL PHYSICS*, *27*(2), 480–502.

Sources: Web Of Science, ORCID

Added: December 30, 2019

2020 journal article

Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography

*Communications in Mathematical Sciences*, *18*(8), 2149–2168.

Source: ORCID

Added: April 28, 2021

2019 journal article

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

*JOURNAL OF SCIENTIFIC COMPUTING*, *80*(1), 538–554.

Sources: Web Of Science, ORCID

Added: June 17, 2019

2019 journal article

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

*Computers & Mathematics with Applications*, *77*(12), 3172–3185.

Sources: Web Of Science, Crossref, ORCID

Added: July 1, 2019

2019 journal article

An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions

*Kinetic & Related Models*, *12*(1), 195–216.

Sources: ORCID, Crossref

Added: September 8, 2019

2019 journal article

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

*JOURNAL OF COMPUTATIONAL PHYSICS*, *391*, 259–279.

Sources: Web Of Science, ORCID

Added: June 17, 2019

2019 article

High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

*ACTIVE PARTICLES, VOL 2: ADVANCES IN THEORY, MODELS, AND APPLICATIONS*, pp. 109–148.

Sources: Web Of Science, ORCID

Added: March 30, 2020

2019 journal article

Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

*MATHEMATICAL BIOSCIENCES AND ENGINEERING*, *16*(5), 5804–5835.

Sources: Web Of Science, ORCID

Added: July 8, 2019

2019 journal article

Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

*Math. Biosci. Eng.*, *16*(5), 5804–5835.

Source: ORCID

Added: September 8, 2019

2019 journal article

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems

*Journal of Scientific Computing*.

Source: ORCID

Added: September 10, 2019

2019 journal article

Preface to the Special Issue in Memory of Professor Saul Abarbanel

*Journal of Scientific Computing*.

Source: ORCID

Added: September 15, 2020

2019 journal article

Stochastic Galerkin method for cloud simulation

*Mathematics of Climate and Weather Forecasting*, *5*(1), 65–106.

Sources: Crossref, ORCID

Added: December 11, 2019

2018 journal article

A second-order finite-difference method for compressible fluids in domains with moving boundaries

*Commun. Comput. Phys.*, *23*(1), 230–263.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2018 journal article

An asymptotic preserving scheme for kinetic models with singular limit

*Kinet. Relat. Models*, *11*(4), 735–756.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2018 journal article

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

*Adv. Comput. Math.*, *44*(1), 327–350.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2018 chapter

Well-Balanced Central-Upwind Schemes for 2x2 Systems of Balance Laws

In *Theory, Numerics and Applications of Hyperbolic Problems I* (Vol. 236, pp. 345–361).

Sources: Crossref, ORCID

Added: August 30, 2019

2018 journal article

Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes

*J. Comput. Phys.*, *358*, 36–52.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2018 journal article

Well-balanced schemes for the shallow water equations with Coriolis forces

*Numer. Math.*, *138*(4), 939–973.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 chapter

A Practical Guide to Deterministic Particle Methods

In *Handbook of Numerical Analysis* (Vol. 18, pp. 177–202).

Sources: Crossref, ORCID

Added: August 6, 2018

2017 chapter

A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles

In *Springer Proceedings in Mathematics & Statistics* (Vol. 199, pp. 43–55).

Sources: Crossref, ORCID

Added: August 6, 2018

2017 journal article

An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations

*J. Comput. Phys.*, *335*, 387–403.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2017 journal article

Hybrid Finite-Volume-Particle Method for Dusty Gas Flows

*SMAI Journal of Computational Mathematics*, *3*, 139–180.

Sources: Crossref, ORCID

Added: July 20, 2019

2016 journal article

Central-upwind scheme for shallow water equations with discontinuous bottom topography

*Bull. Braz. Math. Soc. (N.S.)*, *47*(1), 91–103.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2015 journal article

A finite-volume method for nonlinear nonlocal equations with a gradient flow structure

*Commun. Comput. Phys.*, *17*(1), 233–258.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2015 journal article

Elastic collisions among peakon solutions for the Camassa-Holm equation

*Appl. Numer. Math.*, *93*, 30–46.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2015 journal article

Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term

*SIAM Journal on Numerical Analysis*, *53*(4), 2008–2029.

Sources: NC State University Libraries, ORCID, Crossref

Added: August 6, 2018

2015 journal article

Well-balanced positivity preserving central-upwind scheme for the shallow water system with friction terms

*Internat. J. Numer. Methods Fluids*, *78*(6), 355–383.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2014 journal article

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs

*Comput. Optim. Appl.*, *59*(3), 689–724.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2014 journal article

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

*Numer. Math.*, *127*(4), 595–639.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2014 journal article

Solving two-mode shallow water equations using finite volume methods

*Commun. Comput. Phys.*, *16*(5), 1323–1354.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2013 journal article

PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS

*Mathematical Models and Methods in Applied Sciences*, *24*(02), 249–275.

Sources: NC State University Libraries, ORCID, Crossref

Added: August 6, 2018

2013 journal article

Three-layer approximation of two-layer shallow water equations

*Math. Model. Anal.*, *18*(5), 675–693.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 journal article

CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES

*Siam Journal on Numerical Analysis*, *50*(1), 1–21.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 chapter

Convergence Analysis of the Particle Method for the Camassa-Holm Equation

In *Series in Contemporary Applied Mathematics* (Vol. 18, pp. 365–373).

Sources: Crossref, ORCID

Added: July 20, 2019

2012 journal article

INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS

*Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique*, *46*(3), 515–534.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 journal article

ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

*Kinetic and Related Models*, *5*(1), 51–95.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2012 journal article

Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

*Journal of Fluid Mechanics*, *694*, 155–190.

Sources: Crossref, ORCID

Added: July 20, 2019

2011 chapter

Central-upwind schemes for Boussinesq paradigm equations

In *Computational science and high performance computing IV* (Vol. 115, pp. 267–281).

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2010 journal article

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

*Journal of Scientific Computing*, *45*(1-3), 200–214.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2010 chapter

On splitting-based numerical methods for convection-diffusion equations

In *Numerical Methods for Balance Laws, Quaderni di Matematica, Aracne editrice S.r.l* (Vol. 24, p. 303). Roma.

Source: NC State University Libraries

Added: July 28, 2019

2010 chapter

On splitting-based numerical methods for convection-diffusionequations

In G. Puppo & G. Russo (Eds.), *Numerical Methods for Balance Laws* (p. 303). Caserta: Dipartimento di matematica della Seconda Universitá di Napoli.

Ed(s): G. Puppo & G. Russo

Source: NC State University Libraries

Added: December 22, 2020

2009 journal article

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

*Commun. Comput. Phys.*, *5*(2-4), 565–581.

Source: ORCID

Added: September 8, 2019

2009 conference paper

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

*Communications in Computational Physics*, *5*(2-4), 565–581.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Fast explicit operator splitting method for convection-diffusion equations

*International Journal For Numerical Methods in Fluids*, *59*(3), 309–332.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2009 chapter

On splitting-based numerical methods for convection-diffusion equations

In *Numerical methods for balance laws* (Vol. 24, pp. 303–343). Dept. Math., Seconda Univ. Napoli, Caserta.

Source: ORCID

Added: September 8, 2019

2008 journal article

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

*Numerische Mathematik*, *111*(2), 169–205.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2008 journal article

A simple Eulerian finite-volume method for compressible fluids in domains with moving boundaries

*Commun. Math. Sci.*, *6*(3), 531–556.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2008 journal article

INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS

*Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique*, *42*(6), 991–1019.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2008 journal article

Modified Optimal Prediction and its Application to a Particle-Method Problem

*Journal of Scientific Computing*, *37*(2), 189–201.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2008 chapter

Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method

In *Hyperbolic Problems: Theory, Numerics, Applications* (pp. 371–379).

Sources: Crossref, ORCID

Added: July 20, 2019

2007 journal article

A new sticky particle method for pressureless gas dynamics

*Siam Journal on Numerical Analysis*, *45*(6), 2408–2441.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2006 journal article

Finite-volume-particle methods for models of transport of pollutant in shallow water

*Journal of Scientific Computing*, *27*(1-3), 189–199.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2006 journal article

On a practical implementation of particle methods

*Applied Numerical Mathematics*, *56*(10-11), 1418–1431.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2005 chapter

Conservative locally moving mesh method for multifluid flows

In *Finite Volumes for Complex Applications IV* (pp. 273–284). ISTE, London.

Sources: NC State University Libraries, ORCID

Added: July 28, 2019

2005 chapter

Fast explicit operator splitting method. Application to the polymer system

In *Finite Volumes for Complex Applications IV*: *Vol.* *IV* (pp. 63–72). ISTE, London.

Sources: NC State University Libraries, ORCID

Added: July 28, 2019

2005 journal article

On degenerate saturated-diffusion equations with convection

*Nonlinearity*, *18*(2), 609–630.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2005 journal article

On wavelet-based numerical homogenization

*Multiscale Modeling & Simulation*, *3*(1), 65–88.

Sources: ORCID, NC State University Libraries

Added: August 6, 2018

2004 journal article

On a hybrid finite-volume-particle method

*Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique*, *38*(6), 1071–1091.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2003 journal article

Formation of discontinuities in flux-saturated degenerate parabolic equations

*Nonlinearity*, *16*(6), 1875–1898.

Sources: NC State University Libraries, ORCID

Added: August 6, 2018

2002 journal article

A Particle Method for the KdV Equation

*Journal of Scientific Computing*, *17*(1-4), 491–499.

Source: ORCID

Added: August 27, 2019

2002 journal article

On the stability of a class of self-similar solutions to the filtration-absorption equation

*European Journal of Applied Mathematics*, *13*(2), 179–194.

Sources: Crossref, ORCID

Added: July 20, 2019

2002 journal article

Particle methods for the KdV equation

*Journal of Scientific Computing*, *17*, 491–499.

Source: NC State University Libraries

Added: July 10, 2019

2001 journal article

Particle Methods for Dispersive Equations

*Journal of Computational Physics*, *171*(2), 708–730.

Sources: Crossref, ORCID

Added: July 20, 2019

2000 journal article

Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation

*Proceedings of the National Academy of Sciences*, *97*(18), 9844–9848.

Sources: Crossref, ORCID

Added: July 27, 2019

2000 journal article

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

*Journal of Computational Physics*, *160*(1), 42–66.

Sources: Crossref, ORCID

Added: July 20, 2019

2000 journal article

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II

*Journal of Computational Physics*, *160*(1), 67–87.

Sources: Crossref, ORCID

Added: July 20, 2019

1991 journal article

An algorithm for the numerical solution of equations describing processes in photoreceivers

*Mat. Model.*, *3*(10), 95–103.

Source: ORCID

Added: September 8, 2019

1991 journal article

On a numerical algorithm for nonlinear differential equations describing some processes in photoreceivers

*Journal of Mathematical Modeling*, *3*, 95–103.

Source: NC State University Libraries

Added: July 28, 2019

2021 - present

2015 - present

2015 - present

2013 - present

2012 - 2019

2016 - 2016

2014 - 2014

2007 - 2013

2012 - 2012

2010 - 2011

2007 - 2009

2002 - 2007

2001 - 2002

1999 - 2002

1996 - 1999

1991 - 1996

1999 - 2001

1991 - 1999

1984 - 1989

Funding history based on the linked ORCID record.

grant
September 1, 2018 - August 31, 2022

Collaborative Research: Structure Preserving Numerical Methods for Hyperbolic Balance Laws with Applications to Shallow Water and Atmospheric Models

Directorate for Mathematical & Physical Sciences

grant
September 1, 2015 - August 31, 2019

Collaborative Research: Numerical Methods for Partial Differential Equations Arising in Shallow Water Modeling

Directorate for Mathematical & Physical Sciences

grant
September 1, 2012 - August 31, 2016

Collaborative Research: Numerical Methods for Shallow Water Equations and Related Models

Directorate for Mathematical & Physical Sciences

grant
January 1, 2012 - January 1, 2015

Numerical Methods for Shallow Water Equations and Related Models

Office of Naval Research

grant
October 1, 2011 - September 30, 2015

Collaborative Research: Development of High-Resolution Finite-Volume Methods for Systems of Nonlinear Time-Dependent PDEs

Directorate for Mathematical & Physical Sciences

grant
September 1, 2007 - August 31, 2011

Innovative Numerical Methods for Nonlinear Time-Dependent PDEs

Directorate for Mathematical & Physical Sciences

grant
September 1, 2004 - February 29, 2008

Particle Methods for Nonlinear Time-Dependent PDEs

Directorate for Mathematical & Physical Sciences