Random Differential Equations in Scientific Computing

This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view. An interdisciplinary approach is applied by considering state-of-the-art concepts of both dynamical systems and scientific computing. The red line...

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Detalles Bibliográficos
Autores principales: Tobias Neckel, Florian Rupp
Formato: Libro
Publicado: De Gruyter Open Poland 2013
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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          Tobias Neckel
          Florian Rupp
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        atl: Random Differential Equations in Scientific Computing
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        au:
          Tobias Neckel
          Florian Rupp
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        Stochastic differential equations--Data processing
        Mathematics
        Engineering--Data processing
        Science--Data processing
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          MATHEMATICS / General
          MATHEMATICS / Differential Equations / General
          MATHEMATICS / Probability & Statistics / General
          MATHEMATICS / Mathematical Analysis
          Stochastic differential equations--Data processing
          Mathematics
          Engineering--Data processing
          Science--Data processing
      ab: This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of view. An interdisciplinary approach is applied by considering state-of-the-art concepts of both dynamical systems and scientific computing. The red line pervading this book is the two-fold reduction of a random partial differential equation disturbed by some external force as present in many important applications in science and engineering. First, the random partial differential equation is reduced to a set of random ordinary differential equations in the spirit of the method of lines. These are then further reduced to a family of (deterministic) ordinary differential equations. The monograph will be of benefit, not only to mathematicians, but can also be used for interdisciplinary courses in informatics and engineering.
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    language: English
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