Operator differential-algebraic equations with noise arising in fluid dynamics
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DOI: 10.1007/s00605-016-0931-z
Abstract: We study linear semi-explicit stochastic operator differential algebraic equations (DAEs) for which the constraint equation is given in an explicit form. In particular, this includes the Stokes equations arising in fluid dynamics. We combine a… read more here.
Keywords: fluid dynamics; differential algebraic; operator differential; arising fluid ... See more keywords
Randomised one-step time integration methods for deterministic operator differential equations
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DOI: 10.1007/s10092-022-00457-6
Abstract: Uncertainty quantification plays an important role in problems that involve inferring a parameter of an initial value problem from observations of the solution. Conrad et al. (Stat Comput 27(4):1065–1082, 2017 ) proposed randomisation of deterministic… read more here.
Keywords: time; integration methods; time integration; operator differential ... See more keywords
Regularized Asymptotic Solutions of Nonlinear Integro-Differential Equations with Zero Operator in the Differential Part and with Several Rapidly Varying Kernels
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DOI: 10.1134/s0012266121060057
Abstract: We consider a nonlinear integro-differential equation with zero operator in the differential part whose integral operator contains several rapidly varying kernels. This paper continues the research carried out earlier for equations with only one rapidly… read more here.
Keywords: integro differential; operator differential; differential equations; differential part ... See more keywords