Direct methods for sparse matrices
Direct methods for sparse matrices
One-step and extrapolation methods for differential- algebraic systems
Numerische Mathematik
Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Journal of Computational Physics
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing
Explicit methods for stiff ODEs from atmospheric chemistry
NUMDIFF-7 Selected papers of the seventh conference on Numerical treatment of differential equations
Efficient implementation of fully implicit methods for atmospheric chemical kinetics
Journal of Computational Physics
Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration
SIAM Journal on Scientific Computing
Large Scale Computations in Air Pollution Modelling
Large Scale Computations in Air Pollution Modelling
Modeling the Long-Range Transport of Air Pollutants
IEEE Computational Science & Engineering
WNAA '96 Proceedings of the First International Workshop on Numerical Analysis and Its Applications
Running Large-Scale Air Pollution Models on Message Passing Machines
Proceedings of the 4th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Running an Advection-Chemistry Code on Message Passing Computers
Proceedings of the 5th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
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The preparation of an efficient air pollution code for an IBM SMP computer with two levels of parallelism is discussed. Only two nodes are available on the IBM SMP computer that has actually been used. Therefore, a relatively small problem has been applied in the experiments. The 2-D version of an air pollution problem was discretized on a (96×96) grid. The number of the chemical species was 35. This computational problem, leading to the solution of ODE systems of 322560 equations during many thousands of time-steps, is still very big for many of the existing high-speed computers. Moreover, this version of the model is in fact the operational version at present. More details about this version can be found in the web-site of the model: http://www.dmu.dk/AtmosphericEnvironment/DEM.