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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.
By Defense Technical Information Center
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: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA149026: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications In Hydrodynamics.” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Oliker,V - EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE - *NONLINEAR DIFFERENTIAL EQUATIONS - *SOLUTIONS(GENERAL) - *PARTIAL DIFFERENTIAL EQUATIONS - *NUMERICAL METHODS AND PROCEDURES - *HYDRODYNAMICS - MATHEMATICAL MODELS - COMPUTATIONS - REFLECTION - PROBLEM SOLVING - ESTIMATES - LINEARITY - ANTENNAS - CONVERGENCE
Edition Identifiers:
- Internet Archive ID: DTIC_ADA149026
Downloads Information:
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.
By Defense Technical Information Center
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: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA189945: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Oliker, V I - EMORY UNIV ATLANTA GA - *NONLINEAR DIFFERENTIAL EQUATIONS - *PARTIAL DIFFERENTIAL EQUATIONS - *NUMERICAL METHODS AND PROCEDURES - DIRICHLET INTEGRAL - NONLINEAR ALGEBRAIC EQUATIONS - NUMERICAL ANALYSIS - MATHEMATICAL MODELS - SOLUTIONS(GENERAL)
Edition Identifiers:
- Internet Archive ID: DTIC_ADA189945
Downloads Information:
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.
By Defense Technical Information Center
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: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA186166: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications.” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Oliker, V I - EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE - *NONLINEAR DIFFERENTIAL EQUATIONS - *PARTIAL DIFFERENTIAL EQUATIONS - DIRICHLET INTEGRAL - NONLINEAR SYSTEMS - NUMERICAL ANALYSIS - PHYSICAL PROPERTIES - SOLUTIONS(GENERAL) - MATHEMATICAL MODELS
Edition Identifiers:
- Internet Archive ID: DTIC_ADA186166
Downloads Information:
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
By Catherine Descheneau
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.
“Numerical Methods For A Pair Of Nonlinear Partial Differential Equations” Metadata:
- Title: ➤ Numerical Methods For A Pair Of Nonlinear Partial Differential Equations
- Author: Catherine Descheneau
- Language: English
Edition Identifiers:
- Internet Archive ID: Descheneau1974_0
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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
By Defense Technical Information Center
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: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA232784: New Methods For Numerical Solution Of One Class Of Strongly Nonlinear Partial Differential Equations With Applications” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Oliker, V I - EMORY UNIV ATLANTA GA DEPT OF MATHEMATICS AND COMPUTER SCIENCE - *OPTICS - NUMERICAL ANALYSIS - ELASTIC PROPERTIES - NONLINEAR DIFFERENTIAL EQUATIONS - SOLUTIONS(GENERAL) - NONLINEAR ALGEBRAIC EQUATIONS - METEOROLOGY - PARTIAL DIFFERENTIAL EQUATIONS - GEOMETRY - INVERSION - NUMERICAL METHODS AND PROCEDURES - EQUATIONS - DYNAMICS - BALANCE
Edition Identifiers:
- Internet Archive ID: DTIC_ADA232784
Downloads Information:
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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Abbyy GZ - Archive BitTorrent - DjVuTXT - Djvu XML - Item Tile - Metadata - OCR Page Index - OCR Search Text - Page Numbers JSON - Scandata - Single Page Processed JP2 ZIP - Text PDF - chOCR - hOCR -
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