A fully symmetric nonlinear biorthogonal decomposition theory for random fields - Venturi, Daniele (Physica. D, 2011)
Keywords: Completeness; Decomposition; Exact sciences and technology; Hilbert space; Mathematical models; Nonlinear biorthogonal decomposition; Nonlinear phenomena; Nonlinearity; Physics; Random fields; Reduced-order stochastic modelling; Reduction; Representations; Stochasticity; Reduced-order stochastic modelling; Random fields; Nonlinear biorthogonal decomposition; Operator; Dimensionality; Partial differential equations; Necessary and sufficient condition; Non linear phenomenon; Random field; Equivalence; Functionals; Space of mappings; Non linear theory; Inner product; Hilbert space; Infinite dimension; Mathematical physics; Thermal conduction