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ETD Abstract Container

Abstract Header

Completely Residual Based Code Verification

Brubaker, Lauren P.
http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325

Abstract Details

2006, Master of Science, University of Akron, Applied Mathematics.
Mathematical models of physical processes often include partial differential equations (PDEs). Oftentimes solving PDEs analytically is not feasible and a numerical method is implemented to obtain an approximate solution. Too often the assumption is made that the solution should be trusted when codes are prone to implementation errors. Code verification is a field of mathematics that shows the algorithm has been implemented without mistakes and has correctly solved the problem. Currently no one method of code verification is universally accepted. The Method of Manufactured Exact Solutions (MMES) is the most commonly used, but it has a considerable disadvantage of altering the code after verification. We have developed a new method, Completely Residual Based Code Verification (CRBCV), which does not require any modification. By using several solution methods, we have shown that CRBCV is dependable when verifying the heat equation with linear and nonlinear source terms and a frontal polymerization model.
Laura Gross (Advisor)
105 p.
Mathematics
Code verification; Partial Differential Equations; Numerical Methods; Method of Manufactured Exact Solutions; Frontal Polymerization; Heat Equation; Residual

Recommended Citations

Citations

  • Brubaker, L. P. (2006). Completely Residual Based Code Verification [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325

    APA Style (7th edition)

  • Brubaker, Lauren. Completely Residual Based Code Verification. 2006. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325.

    MLA Style (8th edition)

  • Brubaker, Lauren. "Completely Residual Based Code Verification." Master's thesis, University of Akron, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325

    Chicago Manual of Style (17th edition)

akron1132592325
881
© 2005, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.