Communications in Mathematical Sciences

Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics

A well-posed simulation model for multicomponent reacting gases

A discrete to continuum analysis of dislocations in nanowire heterostructures

Topology preservation for image-registration-related deformation fields

On Rosenau-type approximations to fractional diffusion equations

Multiscale analysis of linearized peridynamics

Multi-hump solitary waves of a nonlinear Dirac equation

Fractional Fokker–Planck equation

Global well-posedness of a system of nonlinearly coupled KdV equations of Majda and Biello

Dynamic transitions and pattern formations for a Cahn–Hilliard model with long-range repulsive interactions

A simple well-balanced and positive numerical scheme for the shallow-water system

Wild solutions for 2D incompressible ideal flow with passive tracer

Erratum to “Hyperbolic predators vs. parabolic prey”