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  • 1
    Electronic Resource
    Electronic Resource
    Response to "Comment on ‘Exact and moment equation modeling of electron transport in submicron structures' '' [Appl. Phys. Lett. 59, 1743 (1991)] (1994)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 64 (1994), S. 803-804 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.111020
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  • 2
    Electronic Resource
    Electronic Resource
    Inverse modeling for large-eddy simulation (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 3585-3587 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Approximate higher order polynomial inversion of the top-hat filter is developed with which the turbulent stress tensor in large-eddy simulation can be consistently represented using the filtered field. Generalized (mixed) similarity models are proposed which improved the agreement with the kinetic energy transfer to small scales. These similarity models are analyzed for random periodic signals and the ensemble averaged spectra of the turbulent stress tensor and the corresponding models are compared. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869495
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  • 3
    Electronic Resource
    Electronic Resource
    Exact and moment equation modeling of electron transport in submicron structures (1991)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 59 (1991), S. 1743-1745 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We compare I-V characteristics of a semiconducting submicron n+nn+ diode as predicted by extended moment equation approximations to those obtained from the solution of the corresponding Boltzmann equation. All lower order models fail in the predominantly ballistic regime. Moreover, the conductance is inadequately predicted by these models, even in nonballistic cases due to the high build-in electric fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.106237
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Fractional exponential decay in the capture of ligands by randomly distributed traps in one dimension (1987)
    Springer
    Bulletin of mathematical biology 49 (1987), S. 487-494 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In many biophysical and biochemical experiments one observes the decay of some ligand population by an appropriate system of traps. We analyse this decay for a one-dimensional system of randomly distributed traps, and show that one can distinguish three different regimes. The decay starts with a fractional exponential of the form exp[−(t/t 0)1/2], which changes into a fractional exponential of the form exp[−(t/t 1)1/3] for long times, which in its turn changes into a pure exponential time dependence, i.e. exp[−t/t 2] for very long times. With these three regimes, we associate three time scales, related to the average trap density and the diffusion constant characterizing the motion of the ligands.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458865
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  • 5
    Electronic Resource
    Electronic Resource
    A new finite difference scheme adapted to the one-dimensional Schrödinger equation (1993)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 44 (1993), S. 654-672 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We present a new discretisation scheme for the Schrödinger equation based on analytic solutions to local linearisations. The scheme generates the normalised eigenfunctions and eigenvalues simultaneously and is exact for piecewise constant potentials and effective masses. Highly accurate results can be obtained with a small number of mesh points and a robust and flexible algorithm using continuation techniques is derived. An application to the Hartree approximation for SiGe heterojunctions is discussed in which we solve the coupled Schrödinger-Poisson model problem selfconsistently.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00948481
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  • 6
    Electronic Resource
    Electronic Resource
    Spatial Instabilities of the Incompressible Attachment-Line Flow Using Sparse Matrix Jacobi–Davidson Techniques (1997)
    Springer
    Flow, turbulence and combustion 59 (1997), S. 315-329 
    Details
    ISSN: 1573-1987
    Keywords: incompressible attachment-line flow ; hydrodynamic stability ; Jacobi–Davidson method ; sparse quadratic eigenvalue systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract We consider the linear stability of incompressible attachment-line flow within the spatial framework. No similarity or symmetry assumptions for the instability modes are introduced and the full two-dimensional representation of the modes is used. The perturbation equations are discretized on a two-dimensional staggered grid. A high order finite difference scheme has been developed which gives rise to a large, sparse, quadratic, eigenvalue problem for the instability modes. The benefits of the Jacobi–Davidson method for the solution of this eigenvalue system are demonstrated and the approach is validated in some detail. Spatial stability results are presented subsequently. In particular, instability predictions at very high Reynolds numbers are obtained which show almost equally strong instabilities for symmetric and antisymmetric modes in this regime.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001181628630
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  • 7
    Electronic Resource
    Electronic Resource
    Diffusion limited immunochemical sensing (1989)
    Springer
    Bulletin of mathematical biology 51 (1989), S. 359-379 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The time-dependent surface coverage of antigen-antibody complexes for a sensor in which antigens are bound to surface immobilized antibodies is determined analytically. Assuming a reversible first order reaction between the antigens and antibodies, a model is derived describing the dynamical response of the sensor. The surface coverage is related explicitly to the antigen concentration which is of special interest in experimental situations. The stationary state and short time behaviour are determined explicitly. Several illustrations of the full solution are provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460114
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  • 8
    Electronic Resource
    Electronic Resource
    Complexes of block copolymers in solution: Tree approximation (1989)
    Springer
    Journal of statistical physics 57 (1989), S. 1069-1098 
    Details
    ISSN: 1572-9613
    Keywords: Block copolymers ; generating function ; Polya's theorem ; gelation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transition is absent. Hence, we show the assumption about the topological structure to be relevant for the statistical properties of the system. We determine the average size of the complexes and calculate the viscosity of the system under the assumption that the complexes geometrically can be treated as porous spheres.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020049
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  • 9
    Electronic Resource
    Electronic Resource
    Complexes of block copolymers in solution: A graph-theoretical approach (1989)
    Springer
    Journal of statistical physics 57 (1989), S. 1099-1122 
    Details
    ISSN: 1572-9613
    Keywords: Block copolymers ; generating function method ; Polya's theorem ; gelation ; nonnested structures
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We determine the statistical properties of block copolymers in solution. These complexes are assumed to have the topological structure of connected graphs with “nonnested” loops and cycles. The generating function method is used to determine the number of topologically different complexes containing a given number of block copolymers. It is shown that at sufficiently high concentration the system undergoes a transition to a gel phase. Furthermore, the average number of polymers per complex is calculated. Finally, the relative increase in viscosity is found under the assumption that the complexes can be treated as porous spheres.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020050
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  • 10
    Electronic Resource
    Electronic Resource
    Application of polynomial preconditioners to conservation laws (2000)
    Springer
    Journal of engineering mathematics 38 (2000), S. 403-426 
    Details
    ISSN: 1573-2703
    Keywords: polynomial preconditioning ; conservation laws ; implicit timestepping ; aerodynamic flows
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Polynomial preconditioners which are suitable in implicit time-stepping methods for conservation laws are reviewed and analyzed. The preconditioners considered are either based on a truncation of a Neumann series or on Chebyshev polynomials for the inverse of the system-matrix. The latter class of preconditioner is optimal in a space of polynomials of certain degree if the matrix has only real eigenvalues and a non-singular system of eigenvectors. The preconditioning can be applied to any convergent splitting of the system matrix, i.e. to any classical implicit time-stepping method for conservation laws that is based on a quasi-Newton iteration. An efficient implementation based on SSOR is presented and the approach is applied to simulations of the viscous unsteady Burgers equation and to inviscid steady flow around an airfoil in two spatial dimensions to illustrate the method in large-scale computations. For viscous flows the efficiency increase due to preconditioning is considerable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004836400044
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