Achieving tolerance proportionality in software for stiff initial-value problems

Computing ◽  
1989 ◽  
Vol 42 (4) ◽  
pp. 341-352 ◽  
Author(s):  
W. H. Enright ◽  
W. L. Seward
Keyword(s):  
Initial Value Problems ◽  
Initial Value ◽  
Stiff Initial Value Problems ◽  
Tolerance Proportionality

ORDER AND CONVERGENCE OF THE ENHANCED 3-POINT FULLY IMPLICIT SUPER CLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING INITIAL VALUE PROBLEM

2021 ◽  
Vol 5 (2) ◽  
pp. 442-446
Author(s):  
Muhammad Abdullahi ◽  
Hamisu Musa
Keyword(s):  
Initial Value Problem ◽  
Initial Value Problems ◽  
Sufficient Conditions ◽  
Initial Value ◽  
Differentiation Formula ◽  
Stiff Initial Value Problems ◽  
First Order ◽  
Backward Differentiation Formula ◽  
Fully Implicit ◽  
Necessary And Sufficient

This paper studied an enhanced 3-point fully implicit super class of block backward differentiation formula for solving stiff initial value problems developed by Abdullahi & Musa and go further to established the necessary and sufficient conditions for the convergence of the method. The method is zero stable, A-stable and it is of order 5. The method is found to be suitable for solving first order stiff initial value problems

Modified defect correction algorithms for ODEs. Part II: Stiff initial value problems

2005 ◽  
Vol 40 (3) ◽  
pp. 285-303 ◽  
Author(s):  
W. Auzinger ◽  
H. Hofstätter ◽  
W. Kreuzer ◽  
E. Weinmüller
Keyword(s):  
Initial Value Problems ◽  
Defect Correction ◽  
Initial Value ◽  
Stiff Initial Value Problems

Block procedure for solving stiff initial value problems using probabilists Hermite polynomials

2020 ◽  
Vol 3 (3) ◽  
pp. 20-29
Author(s):  
Lelise Mulatu ◽  
◽  
Alemayehu Shiferaw ◽  
Solomon Gebregiorgis ◽  
◽  
...  
Keyword(s):  
Initial Value Problems ◽  
Hermite Polynomials ◽  
Initial Value ◽  
Stiff Initial Value Problems
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