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  • 2005-2009
  • 2000-2004  (6)
  • 1980-1984
  • 2002  (6)
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  • 2005-2009
  • 2000-2004  (6)
  • 1980-1984
Year
Keywords
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  • 1
    Electronic Resource
    Electronic Resource
    Obituary for John E. Hunter (2002)
    Oxford, UK and Boston, USA : Blackwell Publishers Ltd
    International journal of selection and assessment 10 (2002), S. 0 
    Details
    ISSN: 1468-2389
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/1468-2389.00207
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 2
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    Unknown
    A new method for the solution of scattering problems (2002)
    Details
    Publication Date: 2022-07-07
    Description: We present a new efficient algorithm for the solution of direct time-harmonic scattering problems based on the Laplace transform. This method does not rely on an explicit knowledge of a Green function or a series representation of the solution, and it can be used for the solution of problems with radially symmetric potentials and problems with waveguides. The starting point is an alternative characterization of outgoing waves called \emph{pole condition}, which is equivalent to Sommerfeld's radiation condition for problems with radially symmetric potentials. We obtain a new representation formula, which can be used for a numerical evaluation of the exterior field in a postprocessing step. Based on previous theoretical studies, we discuss the numerical realization of our algorithm and compare its performance to the PML method.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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    OPUS
  • 3
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    On the Numerical Solution of Nonlinear Schrödinger type equations in fiber optics (2002)
    Details
    Publication Date: 2022-07-07
    Description: The aim of this paper is to develop fast methods for the solution of nonlinear Schrödinger type equations in fiber optics. Using the method of lines we have to solve a stiff system of ordinary differential equations where the eigenvalues of the Jacobian are close to the imaginary axis. This is usually done by a Split Step method. Here we consider the extrapolation of Split Step methods with adaptive order and step size control. For more complicated nonlinearities, in particular stimulated Raman scattering, Split Step methods are less efficient since symmetry is either destroyed or requires much additional effort. In this case we use implicit Runge Kutta formulas of Gauß type. The key point for the efficient implementation of these methods is that the system of nonlinear algebraic equations can be solved without setting up the Jacobian. The proposed methods are compared to other methods, in particular exponential integrators, the method of Marcuse, and the method of Blow and Wood.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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    OPUS
  • 4
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    Unknown
    A New Approach to Coupled Interior-Exterior Helmholtz-Type Problems: Theory and Algorithms (2002)
    Details
    Publication Date: 2022-07-07
    Description: The work presents a new approach to the numerical solution of time-harmonic and time-dependent scattering problems. We replace Sommerfeld's radiation condition valid for the Helmholtz equation by a more general concept called pole condition. The pole condition is based on the Laplace transform of the exterior solution and allows a characterization of outgoing waves. Both new insight into the analysis of scattering problems as well as new numerical algorithms are obtained.
    Keywords: ddc:000
    Language: English
    Type: doctoralthesis , doc-type:doctoralThesis
    Format: application/postscript
    Format: application/pdf
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    OPUS
  • 5
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    Solution of Interior-Exterior Helmholtz-Type Problems Based on the Pole Condition Concept (2002)
    Details
    Publication Date: 2022-07-07
    Language: English
    Type: doctoralthesis , doc-type:doctoralThesis
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    OPUS
  • 6
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    Unknown
    A new method for the solution of scattering problems (2002)
    Details
    Publication Date: 2022-07-07
    Language: English
    Type: conferenceobject , doc-type:conferenceObject
    Library Location Call Number Volume/Issue/Year Availability
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    OPUS
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