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Simple third order operator-splitting schemes for stochastic mechanics and field theory

Computer Physics Communications
We present a method for constructing numerical schemes with up to 3rd strong convergence order for solution of a class of stochastic differential equations, including equations of the Langevin type. The construction proceeds in two stages.
A. Shkerin, S M Sibiryakov
semanticscholar   +1 more source

On Geometric Spectral Functionals

Symmetry, Integrability and Geometry: Methods and Applications
We investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Dirac operators derived from the Levi-Civita connection to geometries with ...
A. Bochniak   +3 more
semanticscholar   +1 more source

Relative eta invariant and uniformly positive scalar curvature on non-compact manifolds

Transactions of the American Mathematical Society
On complete non-compact manifolds with bounded sectional curvature, we consider a class of self-adjoint Dirac-type operators called Dirac–Schrödinger operators.
Pengshuai Shi
semanticscholar   +1 more source

Well-Bounded and Scalar-Type Spectral Operators on Lp Spaces

Journal of the London Mathematical Society, 1989
A well-bounded operator on a Banach space X is one which admits a functional calculus for the absolutely continuous functions on some compact interval of the real line. On Hilbert space it is known that every well-bounded operator with a contactive absolutely continuous functional calculus is self-adjoint.
openaire   +1 more source

On Reflexive Scalar-Type Spectral Operators

Journal of the London Mathematical Society, 1974
Berkson, E., Dowson, H. R.
openaire   +2 more sources

Restrictions of Scalar-Type Spectral Operators

Bulletin of the London Mathematical Society, 1978
openaire   +1 more source

On scalar-type spectral operators and Carleman ultradifferentiable C???-semigroups

2020
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openaire   +1 more source

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