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Numerical Methods For Nonlinear Partial Differential Equations by Sören Bartels

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1DTIC ADA149026: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications In Hydrodynamics.

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This effort studied a proposed numerical method for finding elliptic solutions of the Monge-Ampere equations, in the context of hydrodynamic and antenna design applications. Some computational experiments were performed on representative model problems. A theoretical estimate for the convergence rate of one part of the scheme was obtained. For the problem of reflector antenna design, the solvability of the corresponding linearized problem was demonstrated. A geometric interpretation of the solution was obtained which helps in understanding the problem.

“DTIC ADA149026: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications In Hydrodynamics.” Metadata:

  • Title: ➤  DTIC ADA149026: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications In Hydrodynamics.
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 3.93 Mbs, the file-s for this book were downloaded 82 times, the file-s went public at Sat Jan 27 2018.

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2DTIC ADA189945: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.

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The physical phenomena described by nonlinear partial differential equations have become at present the central theme of investigation by many researchers. A good understanding of most physical processes requires accounting for nonlinear effects and, consequently, methods for studying nonlinear equations have to be developed. Among nonlinear equations the Dirichlet problem for the Monge-Ampere equation is the model case for fully nonlinear equations.

“DTIC ADA189945: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.” Metadata:

  • Title: ➤  DTIC ADA189945: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 6.11 Mbs, the file-s for this book were downloaded 55 times, the file-s went public at Sat Feb 17 2018.

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3DTIC ADA186166: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.

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The physical phenomena described by nonlinear partial differential equations have become at present the central theme of investigations by many researchers. A good understanding of most physical processes requires accounting for nonlinear effects and, consequently, methods for studying nonlinear equations have to be developed. Among nonlinear equations the Dirichlet problem for the Monge-Ampere equation is the model case for fully nonlinear equations.

“DTIC ADA186166: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.” Metadata:

  • Title: ➤  DTIC ADA186166: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 8.58 Mbs, the file-s for this book were downloaded 68 times, the file-s went public at Fri Feb 16 2018.

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4Numerical Methods For A Pair Of Nonlinear Partial Differential Equations

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The physical phenomena described by nonlinear partial differential equations have become at present the central theme of investigations by many researchers. A good understanding of most physical processes requires accounting for nonlinear effects and, consequently, methods for studying nonlinear equations have to be developed. Among nonlinear equations the Dirichlet problem for the Monge-Ampere equation is the model case for fully nonlinear equations.

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  • Title: ➤  Numerical Methods For A Pair Of Nonlinear Partial Differential Equations
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 283.22 Mbs, the file-s for this book were downloaded 66 times, the file-s went public at Tue May 30 2023.

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5DTIC ADA232784: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications

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The authors have studied a novel numerical solution approach to Monge Ampere type equations. The equations have important applications. In particular, the leading term in the balance equation in dynamic meteorology has the form (1) . In a more complicated form, an equation of this type appears in the von Karman system of equations for elasticity and also in inverse problems of geometric optics. It also turned out that recent progress in the study of fully nonlinear equations became possible after important properties of the equation (1) were discovered.

“DTIC ADA232784: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications” Metadata:

  • Title: ➤  DTIC ADA232784: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications
  • Author: ➤  
  • Language: English

“DTIC ADA232784: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications” Subjects and Themes:

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The book is available for download in "texts" format, the size of the file-s is: 6.83 Mbs, the file-s for this book were downloaded 99 times, the file-s went public at Thu Mar 01 2018.

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