High Order Semi-implicit Schemes for Time Dependent Partial Differential Equations

Construction of Additive Semi-Implicit Runge–Kutta Methods with Low-Storage Requirements

(2015) Inmaculada Higueras et al.   JOURNAL OF SCIENTIFIC COMPUTING

Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems

(2015) Sebastiano Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

(2014) Sebastiano Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Runge–Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations

(2013) Hilary Weller et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Flux-Explicit IMEX Runge--Kutta Schemes for Hyperbolic to Parabolic Relaxation Problems

(2013) Sebastiano Boscarino et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)

(2013) F. X. Giraldo et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Analysis of an Asymptotic Preserving Scheme for Relaxation Systems

(2012) Francis Filbet et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations

(2012) Christophe Berthon et al.   MATHEMATICS OF COMPUTATION

Stability of Finite Difference Schemes for Complex Diffusion Processes

(2012) Adérito Araújo et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

(2012) Marianne Bessemoulin-Chatard et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems

(2011) Dale R. Durran et al.   MONTHLY WEATHER REVIEW

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

(2010) Francis Filbet et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling

(2010) F. X. Giraldo et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Fermi–Dirac–Fokker–Planck equation: Well-posedness & long-time asymptotics

(2009) José A. Carrillo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Design and Implementation of Predictors for Additive Semi-Implicit Runge–Kutta Methods

(2009) Inmaculada Higueras et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

(2009) Sebastiano Boscarino et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On an accurate third order implicit-explicit Runge–Kutta method for stiff problems

(2008) Sebastiano Boscarino   APPLIED NUMERICAL MATHEMATICS

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs

(2008) Yan Xu et al.   JOURNAL OF SCIENTIFIC COMPUTING

1D nonlinear Fokker–Planck equations for fermions and bosons

(2007) J.A. Carrillo et al.   APPLIED MATHEMATICS LETTERS

Second-order implicit–explicit scheme for the Gray–Scott model

(2007) Kai Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS