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Beyond the poor man's implementation of unconditionally stable algorithms to solve the time-dependent Maxwell Equations

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arxiv physics/0112069 v1 pith:IFXT6GVX submitted 2001-12-20 physics.comp-ph physics.optics

Beyond the poor man's implementation of unconditionally stable algorithms to solve the time-dependent Maxwell Equations

classification physics.comp-ph physics.optics
keywords algorithmsimplementationequationsmaxwellsolvestabletime-dependentunconditionally
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For the recently introduced algorithms to solve the time-dependent Maxwell equations (see Phys.Rev.E Vol.64 p.066705 (2001)), we construct a variable grid implementation and an improved spatial discretization implementation that preserve the property of the algorithms to be unconditionally stable by construction. We find that the performance and accuracy of the corresponding algorithms are significant and illustrate their practical relevance by simulating various physical model systems.

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