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Dtic Ada288759%3a On The Removal Of Boundary Errors Caused By Runge Kutta Integration Of Non Linear Partial Differential Equations. by Defense Technical Information Center
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1DTIC ADA288759: On The Removal Of Boundary Errors Caused By Runge-Kutta Integration Of Non-Linear Partial Differential Equations.
By Defense Technical Information Center
It has been previously shown that the temporal integration of hyperbolic partial differential equations may, because of boundary conditions, lead to deterioration of accuracy of the solution. A procedure for removal of this error in the linear case has been established previously. In the present paper we consider hyperbolic p.d.e's (linear and nonlinear) whose boundary treatment is done via the SAT-procedure. A methodology is present for recovery of the full order of accuracy, and has been applied to the case of a 4th order explicit finite difference scheme.
“DTIC ADA288759: On The Removal Of Boundary Errors Caused By Runge-Kutta Integration Of Non-Linear Partial Differential Equations.” Metadata:
- Title: ➤ DTIC ADA288759: On The Removal Of Boundary Errors Caused By Runge-Kutta Integration Of Non-Linear Partial Differential Equations.
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA288759: On The Removal Of Boundary Errors Caused By Runge-Kutta Integration Of Non-Linear Partial Differential Equations.” Subjects and Themes:
- Subjects: ➤ DTIC Archive - Abarbanel, Saul - INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA - *NONLINEAR DIFFERENTIAL EQUATIONS - *HYPERBOLIC DIFFERENTIAL EQUATIONS - *RUNGE KUTTA METHOD - PARAMETERS - ACCURACY - PROBLEM SOLVING - BOUNDARIES - FINITE DIFFERENCE THEORY - SOLUTIONS(GENERAL) - APPROXIMATION(MATHEMATICS) - NUMERICAL INTEGRATION - ERRORS - PARTIAL DIFFERENTIAL EQUATIONS - DETERIORATION.
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- Internet Archive ID: DTIC_ADA288759
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The book is available for download in "texts" format, the size of the file-s is: 7.19 Mbs, the file-s for this book were downloaded 52 times, the file-s went public at Wed Mar 21 2018.
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