Krylov–Bogolyubov theorem

Known as: Existence of invariant measures theorem, Krylov-Bogolubov theorem, Existence of invariant measures 
In mathematics, the Krylov–Bogolyubov theorem (also known as the existence of invariant measures theorem) may refer to either of the two related… (More)
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Highly Cited
2011
Highly Cited
2011
A new algorithm is developed for computing etAB, where A is an n × n matrix and B is n×n0 with n0 ≪ n. The algorithm works for… (More)
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Highly Cited
2008
Highly Cited
2008
In recent years, considerable effort has been placed on developing efficient and robust solution algorithms for the… (More)
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Highly Cited
2005
Highly Cited
2005
This paper describes the use of Krylov subspace methods in the model reduction of power systems. Additionally, a connection… (More)
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2005
2005
In this paper we follow up our discussion on algorithms that are suitable for optimization of systems governed by steady-state… (More)
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2002
2002
This paper concerns the ergodic theory of a class of nonlinear dissipative PDEs of parabolic type. Leaving precise statements for… (More)
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Highly Cited
1999
Highly Cited
1999
We study the statistical mechanics of a finitedimensional nonlinear Hamiltonian system (a chain of anharmonic oscillators… (More)
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Highly Cited
1997
Highly Cited
1997
This dissertation focuses on e ciently forming reduced-order models for large, linear dynamic systems. Projections onto unions of… (More)
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Highly Cited
1994
Highly Cited
1994
A new kind of backward stochastic differential equations (in short BSDE), where the solution is a pair of processes adapted to… (More)
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Highly Cited
1985
Highly Cited
1985
This paper presents a unified formulation of a class of the conjugate gradient-like algorithms for solving nonsymmetric linear… (More)
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Highly Cited
1973
Highly Cited
1973
A class of piecewise continuous, piecewise C1 transformations on the interval [0, 1] is shown to have absolutely continuous… (More)
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