Operator splitting and approximate factorization for taxis-diffusion-reaction models
Applied Numerical Mathematics
Accuracy and stability of splitting with stabilizing corrections
Applied Numerical Mathematics
Solving reduced chemical models in air pollution modelling
Applied Numerical Mathematics
A new approximate matrix factorization for implicit time integration in air pollution modeling
Journal of Computational and Applied Mathematics
Adjoint sensitivity analysis of regional air quality models
Journal of Computational Physics
Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport
Journal of Scientific Computing
Adaptive stiff solvers at low accuracy and complexity
Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004
Linearly implicit Runge-Kutta methods and approximate matrix factorization
Applied Numerical Mathematics - Tenth seminar on and differential-algebraic equations (NUMDIFF-10)
Numerical simulation of the general dynamic equation (GDE) for aerosols with two collocation methods
Applied Numerical Mathematics
A fully adaptive reaction-diffusion integration scheme with applications to systems biology
Journal of Computational Physics
Efficient uncertainty quantification with the polynomial chaos method for stiff systems
Mathematics and Computers in Simulation
Linearly implicit Runge--Kutta methods and approximate matrix factorization
Applied Numerical Mathematics
A fourth order L-stable method for the Black-Scholes model with barrier options
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
On an implementation of the TM5 global model on a cluster of workstations
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
FATODE: a library for forward, adjoint and tangent linear integration of stiff systems
Proceedings of the 19th High Performance Computing Symposia
Numerical methods for reacting gas flow simulations
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems
Mathematical and Computer Modelling: An International Journal
An Error Corrected Euler Method for Solving Stiff Problems Based on Chebyshev Collocation
SIAM Journal on Numerical Analysis
Applied Numerical Mathematics
Original article: Rosenbrock-type methods applied to discontinuous differential systems
Mathematics and Computers in Simulation
Comparison of the asymptotic stability for multirate Rosenbrock methods
Journal of Computational and Applied Mathematics
A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
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A second-order, L-stable Rosenbrock method from the field of stiff ordinary differential equations is studied for application to atmospheric dispersion problems describing photochemistry, advective, and turbulent diffusive transport. Partial differential equation problems of this type occur in the field of air pollution modeling. The focal point of the paper is to examine the Rosenbrock method for reliable and efficient use as an atmospheric chemical kinetics box-model solver within Strang-type operator splitting. In addition, two W-method versions of the Rosenbrock method are discussed. These versions use an inexact Jacobian matrix and are meant to provide alternatives for Strang-splitting. Another alternative for Strang-splitting is a technique based on so-called source-splitting. This technique is briefly discussed.