Numerical Stability of Explicit Runge-Kutta Finite Difference Schemes for the Nonlinear Schrödinger Equation - Ronald M. Caplan; Ricardo Carretero-González (CoRR, 2011)

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and its Application to the Nonlinear Schödinger Equation. - Ronald M. Caplan; Ricardo Carretero-González (CoRR, 2011)

NLSEmagic: Nonlinear Schrödinger - Ronald M. Caplan (CoRR, 2012)

Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. - Ronald M. Caplan; Ricardo Carretero-González; Panayotis G. Kevrekidis; Boris A. Malomed (Math. Comput. Simul., 2012)

NLSEmagic: Nonlinear Schrödinger equation multi-dimensional Matlab-based GPU-accelerated integrators using compact high-order schemes. - Ronald M. Caplan (Comput. Phys. Commun., 2013)

A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation. - Ronald M. Caplan; Ricardo Carretero-González (J. Comput. Appl. Math., 2013)

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation. - Ronald M. Caplan; Ricardo Carretero-González (SIAM J. Sci. Comput., 2014)

Advancing parabolic operators in thermodynamic MHD models: Explicit super time-stepping versus implicit schemes with Krylov solvers. - Ronald M. Caplan; Zoran Mikic; Jon A. Linker; Roberto Lionello (CoRR, 2016)

From MPI to MPI+OpenACC: Conversion of a legacy FORTRAN PCG solver for the spherical Laplace equation. - Ronald M. Caplan; Zoran Mikic; Jon A. Linker (CoRR, 2017)

GPU Acceleration of an Established Solar MHD Code using OpenACC. - Ronald M. Caplan; Jon A. Linker; Zoran Mikic; C. Downs; T. Török; V. S. Titov (CoRR, 2018)

Can Fortran's 'do concurrent' Replace Directives for Accelerated Computing? - Miko M. Stulajter; Ronald M. Caplan; Jon A. Linker (WACCPD@SC, 2021)

Acceleration of a production Solar MHD code with Fortran standard parallelism: From OpenACC to 'do concurrent'. - Ronald M. Caplan; Miko M. Stulajter; Jon A. Linker (IPDPS Workshops, 2023)

Portability of Fortran's 'do concurrent' on GPUs. - Ronald M. Caplan; Miko M. Stulajter; Jon A. Linker; Jeff Larkin; Henry A. Gabb; Shiquan Su; Ivan Rodriguez; Zachary S. Tschirhart; Nicholas Malaya (SC Workshops, 2024)

Advancing parabolic operators in thermodynamic MHD models II: Evaluating a Practical Time Step Limit for Unconditionally Stable Methods. - Ronald M. Caplan; Craig D. Johnston; Lars K. S. Daldoff; Jon A. Linker (CoRR, 2024)