Nuclear Science and Engineering · 1973 · 21 citations · 0 references
EngineeringComputational EngineeringComputational PhysicsRadiation TransportTransport PhenomenaAdjoint Transport TheoryBoltzmann Transport EquationError EstimationFinite Difference MethodsNumerical Methods For Differential EquationsAdjoint FormulationPerturbation AnalysisRadiation Penetration DepthRadiation Transport ModelsRadiative Transfer Approximation
The relationship among several approximate formutations—variational, adjoint difference, forward difference, perturbation—for the solution of deep penetration radiation transport problems is established. An expression for the theoretical error associated with each method is derived, and a strategy for the application of the newly introduced forward difference approximation is discussed.