Alina Chertock

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

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

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

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

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

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

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

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

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

JOURNAL OF COMPUTATIONAL PHYSICS, 391, 259–279.

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.

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

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

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

Math. Biosci. Eng., 16(5), 5804–5835.

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

Journal of Scientific Computing.

Preface to the Special Issue in Memory of Professor Saul Abarbanel

Journal of Scientific Computing.

Stochastic Galerkin method for cloud simulation

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

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

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

An asymptotic preserving scheme for kinetic models with singular limit

Kinet. Relat. Models, 11(4), 735–756.

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

Adv. Comput. Math., 44(1), 327–350.

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).

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

J. Comput. Phys., 358, 36–52.

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

Numer. Math., 138(4), 939–973.

A Practical Guide to Deterministic Particle Methods

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

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).

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

J. Comput. Phys., 335, 387–403.

Hybrid Finite-Volume-Particle Method for Dusty Gas Flows

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

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

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

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

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

Elastic collisions among peakon solutions for the Camassa-Holm equation

Appl. Numer. Math., 93, 30–46.

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.

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

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

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

Comput. Optim. Appl., 59(3), 689–724.

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

Numer. Math., 127(4), 595–639.

Solving two-mode shallow water equations using finite volume methods

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

PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS

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

Three-layer approximation of two-layer shallow water equations

Math. Model. Anal., 18(5), 675–693.

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

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

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

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

INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS

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

ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

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

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

Journal of Fluid Mechanics, 694, 155–190.

Central-Upwind Schemes for Boussinesq Paradigm Equations

Computational Science and High Performance Computing Iv, 115, 267–281.

Central-upwind schemes for Boussinesq paradigm equations

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

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

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

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.

Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

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

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

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

Fast explicit operator splitting method for convection-diffusion equations

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

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.

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

Communications in Mathematical Sciences, 6(3), 531–556.

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

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

INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS

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

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

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

Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method

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

A new sticky particle method for pressureless gas dynamics

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

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

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

On a practical implementation of particle methods

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

Conservative locally moving mesh method for multifluid flows

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

Fast explicit operator splitting method. Application to the polymer system

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

On degenerate saturated-diffusion equations with convection

Nonlinearity, 18(2), 609–630.

On wavelet-based numerical homogenization

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

On a hybrid finite-volume-particle method

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

Formation of discontinuities in flux-saturated degenerate parabolic equations

Nonlinearity, 16(6), 1875–1898.

A Particle Method for the KdV Equation

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

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

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

Particle methods for the KdV equation

Journal of Scientific Computing, 17, 491–499.

Particle Methods for Dispersive Equations

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

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

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

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.

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.

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

Mat. Model., 3(10), 95–103.

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

Journal of Mathematical Modeling, 3, 95–103.