RKC: an explicit solver for parabolic PDEs

Parallel simulation of axon growth in the nervous system

Parallel Computing

RKC time-stepping for advection-diffusion-reaction problems

Journal of Computational Physics

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Journal of Scientific Computing

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations

Journal of Computational Physics

IRKC: an IMEX solver for stiff diffusion-reaction PDEs

Journal of Computational and Applied Mathematics

Runge-Kutta-Chebyshev projection method

Journal of Computational Physics

Second-order accurate projective integrators for multiscale problems

Journal of Computational and Applied Mathematics

On stabilized integration for time-dependent PDEs

Journal of Computational Physics

Stochastic spectral methods for efficient Bayesian solution of inverse problems

Journal of Computational Physics

A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems

Journal of Computational Physics

Approximation of matrix operators applied to multiple vectors

Mathematics and Computers in Simulation

Implementation of exponential Rosenbrock-type integrators

Applied Numerical Mathematics

An Eulerian--Lagrangian method for coupled parabolic-hyperbolic equations

Applied Numerical Mathematics

Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems

Journal of Computational Physics

Space--time adaptive multiresolution methods for hyperbolic conservation laws: Applications to compressible Euler equations

Applied Numerical Mathematics

Efficient thermal field computation in phase-field models

Journal of Computational Physics

A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes

SIAM Journal on Scientific Computing

Partitioned Runge-Kutta-Chebyshev Methods for Diffusion-Advection-Reaction Problems

SIAM Journal on Scientific Computing

A variable time-step-size code for advection-diffusion-reaction PDEs

Applied Numerical Mathematics

Accelerating moderately stiff chemical kinetics in reactive-flow simulations using GPUs

Journal of Computational Physics

A stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equations

Journal of Computational Physics

A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems

Journal of Computational and Applied Mathematics

A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging

Journal of Computational Physics

Stabilized explicit Runge-Kutta methods for multi-asset American options

Computers & Mathematics with Applications