The Experts below are selected from a list of 246 Experts worldwide ranked by ideXlab platform

Bruce A Watson - One of the best experts on this subject based on the ideXlab platform.

  • Forward scattering on the line with a transfer condition
    Boundary Value Problems, 2013
    Co-Authors: Sonja Currie, Marlena Nowaczyk, Bruce A Watson
    Abstract:

    We consider scattering on the line with a transfer condition at the origin. Under suitable growth conditions on the potential, the spectrum consists of a finite number of eigenvalues which are negative Real numbers, while the remainder is continuous spectrum which is comprised of the Positive Real Axis. Asymptotics are provided for the Jost solutions. Conditions which characterize transfer conditions resulting in self-adjoint problems are found. Properties are given of the scattering coefficient linking it to the spectrum. MSC: 34L25, 47N50, 34B10, 34B40.

Sonja Currie - One of the best experts on this subject based on the ideXlab platform.

  • Forward scattering on the line with a transfer condition
    Boundary Value Problems, 2013
    Co-Authors: Sonja Currie, Marlena Nowaczyk, Bruce A Watson
    Abstract:

    We consider scattering on the line with a transfer condition at the origin. Under suitable growth conditions on the potential, the spectrum consists of a finite number of eigenvalues which are negative Real numbers, while the remainder is continuous spectrum which is comprised of the Positive Real Axis. Asymptotics are provided for the Jost solutions. Conditions which characterize transfer conditions resulting in self-adjoint problems are found. Properties are given of the scattering coefficient linking it to the spectrum. MSC: 34L25, 47N50, 34B10, 34B40.

L.s. Shieh - One of the best experts on this subject based on the ideXlab platform.

  • Order reduction of z-transfer function via multipoint Jordan continued-fraction expansion
    1991. IEEE International Sympoisum on Circuits and Systems, 1991
    Co-Authors: C. Hwang, L.s. Shieh
    Abstract:

    The order reduction problem of z-transfer functions is solved by using the multipoint Jordan continued-fraction expansion (MJCFE) technique. An efficient algorithm that does not require the use of complex algebra is presented for obtaining an MJCFE from a stable z-transfer function with expansion points selected from the unit circle and/or the Positive Real Axis of the z-plane. The reduced-order models are exactly the multipoint Pade approximants of the original system and, therefore, they match the (weighted) time-moments of the impulse response and preserve the frequency responses of the system at some characteristic frequencies.

Dudley Stark - One of the best experts on this subject based on the ideXlab platform.

  • A Meinardus Theorem with Multiple Singularities
    Communications in Mathematical Physics, 2012
    Co-Authors: Boris L. Granovsky, Dudley Stark
    Abstract:

    Meinardus proved a general theorem about the asymptotics of the number of weighted partitions, when the Dirichlet generating function for weights has a single pole on the Positive Real Axis. Continuing (Granovsky et al., Adv. Appl. Math. 41:307–328, 2008 ), we derive asymptotics for the numbers of three basic types of decomposable combinatorial structures (or, equivalently, ideal gas models in statistical mechanics) of size n , when their Dirichlet generating functions have multiple simple poles on the Positive Real Axis. Examples to which our theorem applies include ones related to vector partitions and quantum field theory. Our asymptotic formula for the number of weighted partitions disproves the belief accepted in the physics literature that the main term in the asymptotics is determined by the rightmost pole.

Marlena Nowaczyk - One of the best experts on this subject based on the ideXlab platform.

  • Forward scattering on the line with a transfer condition
    Boundary Value Problems, 2013
    Co-Authors: Sonja Currie, Marlena Nowaczyk, Bruce A Watson
    Abstract:

    We consider scattering on the line with a transfer condition at the origin. Under suitable growth conditions on the potential, the spectrum consists of a finite number of eigenvalues which are negative Real numbers, while the remainder is continuous spectrum which is comprised of the Positive Real Axis. Asymptotics are provided for the Jost solutions. Conditions which characterize transfer conditions resulting in self-adjoint problems are found. Properties are given of the scattering coefficient linking it to the spectrum. MSC: 34L25, 47N50, 34B10, 34B40.