FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080573668> ?p ?o ?g. }

• W2080573668 endingPage "735" @default.
• W2080573668 startingPage "704" @default.
• W2080573668 abstract "Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for the generality of this class comes from extensive empirical examples that have been recast and from the discovery that sets of differential equations and functions, recognized as among the most general, are special cases of S-systems. Identification of this nonlinear canonical form suggests a radically different approach to numerical solution of ordinary differential equations. By capitalizing on the regular structure of S-systems, efficient formulas for a variable-order, variable-step Taylor-series method are developed. The minimum improvement in efficiency over conventional Runge–Kutta methods is shown to be more than 20 to 60 percent for equations expressed in S-system form. Tests with implemented methods demonstrate that 10- to 100-fold reductions in time are actually realized for solution of S-systems. To examine the potential benefit of recasting ordinary differential equations and then solving with ESSYNS (Evaluation and Simulation of Synergistic Systems), the Taylor-series method for S-systems, a standard set of nonstiff to moderately stiff benchmark problems is recast into S-system form. Each problem is solved in original form with conventional Runge–Kutta, Adams, and Gear methods and in S-system form with ESSYNS. Solving in S-system form with ESSYNS typically requires fewer function evaluations and is often faster overall than solving in original form with conventional methods. At stringent error tolerances, ESSYNS can be 10 to 20 times faster. ESSYNS also is shown to have the advantages of predictable error control, high accuracy based in part on insensitivity to roundoff error, and robustness including the ability to effectively treat discontinuities in derivatives." @default.
• W2080573668 created "2016-06-24" @default.
• W2080573668 creator A5027358814 @default.
• W2080573668 creator A5075770861 @default.
• W2080573668 date "1990-06-01" @default.
• W2080573668 modified "2023-09-27" @default.
• W2080573668 title "Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-system Canonical Form" @default.
• W2080573668 cites W1480353777 @default.
• W2080573668 cites W1501815954 @default.
• W2080573668 cites W1502529406 @default.
• W2080573668 cites W1581582023 @default.
• W2080573668 cites W1964587560 @default.
• W2080573668 cites W1966494076 @default.
• W2080573668 cites W1969122636 @default.
• W2080573668 cites W1972008883 @default.
• W2080573668 cites W1985494751 @default.
• W2080573668 cites W1986018120 @default.
• W2080573668 cites W1987456624 @default.
• W2080573668 cites W1998022314 @default.
• W2080573668 cites W2000040887 @default.
• W2080573668 cites W2000397373 @default.
• W2080573668 cites W2005618152 @default.
• W2080573668 cites W2007844788 @default.
• W2080573668 cites W2018011810 @default.
• W2080573668 cites W2028838185 @default.
• W2080573668 cites W2029376943 @default.
• W2080573668 cites W2054191402 @default.
• W2080573668 cites W2061376823 @default.
• W2080573668 cites W2074391965 @default.
• W2080573668 cites W2086789131 @default.
• W2080573668 cites W2091303717 @default.
• W2080573668 cites W2144144709 @default.
• W2080573668 cites W2158403408 @default.
• W2080573668 cites W2158989003 @default.
• W2080573668 cites W3209416867 @default.
• W2080573668 cites W4206215385 @default.
• W2080573668 cites W4298334204 @default.
• W2080573668 doi "https://doi.org/10.1137/0727042" @default.
• W2080573668 hasPublicationYear "1990" @default.
• W2080573668 type Work @default.
• W2080573668 sameAs 2080573668 @default.
• W2080573668 citedByCount "88" @default.
• W2080573668 countsByYear W20805736682012 @default.
• W2080573668 countsByYear W20805736682013 @default.
• W2080573668 countsByYear W20805736682014 @default.
• W2080573668 countsByYear W20805736682015 @default.
• W2080573668 countsByYear W20805736682016 @default.
• W2080573668 countsByYear W20805736682017 @default.
• W2080573668 countsByYear W20805736682018 @default.
• W2080573668 crossrefType "journal-article" @default.
• W2080573668 hasAuthorship W2080573668A5027358814 @default.
• W2080573668 hasAuthorship W2080573668A5075770861 @default.
• W2080573668 hasConcept C121332964 @default.
• W2080573668 hasConcept C13280743 @default.
• W2080573668 hasConcept C134306372 @default.
• W2080573668 hasConcept C14036430 @default.
• W2080573668 hasConcept C143724316 @default.
• W2080573668 hasConcept C151730666 @default.
• W2080573668 hasConcept C15744967 @default.
• W2080573668 hasConcept C158622935 @default.
• W2080573668 hasConcept C158946198 @default.
• W2080573668 hasConcept C181582579 @default.
• W2080573668 hasConcept C182365436 @default.
• W2080573668 hasConcept C185798385 @default.
• W2080573668 hasConcept C202444582 @default.
• W2080573668 hasConcept C204707403 @default.
• W2080573668 hasConcept C205649164 @default.
• W2080573668 hasConcept C2780767217 @default.
• W2080573668 hasConcept C28826006 @default.
• W2080573668 hasConcept C33923547 @default.
• W2080573668 hasConcept C51544822 @default.
• W2080573668 hasConcept C542102704 @default.
• W2080573668 hasConcept C62520636 @default.
• W2080573668 hasConcept C78045399 @default.
• W2080573668 hasConcept C78458016 @default.
• W2080573668 hasConcept C86803240 @default.
• W2080573668 hasConceptScore W2080573668C121332964 @default.
• W2080573668 hasConceptScore W2080573668C13280743 @default.
• W2080573668 hasConceptScore W2080573668C134306372 @default.
• W2080573668 hasConceptScore W2080573668C14036430 @default.
• W2080573668 hasConceptScore W2080573668C143724316 @default.
• W2080573668 hasConceptScore W2080573668C151730666 @default.
• W2080573668 hasConceptScore W2080573668C15744967 @default.
• W2080573668 hasConceptScore W2080573668C158622935 @default.
• W2080573668 hasConceptScore W2080573668C158946198 @default.
• W2080573668 hasConceptScore W2080573668C181582579 @default.
• W2080573668 hasConceptScore W2080573668C182365436 @default.
• W2080573668 hasConceptScore W2080573668C185798385 @default.
• W2080573668 hasConceptScore W2080573668C202444582 @default.
• W2080573668 hasConceptScore W2080573668C204707403 @default.
• W2080573668 hasConceptScore W2080573668C205649164 @default.
• W2080573668 hasConceptScore W2080573668C2780767217 @default.
• W2080573668 hasConceptScore W2080573668C28826006 @default.
• W2080573668 hasConceptScore W2080573668C33923547 @default.
• W2080573668 hasConceptScore W2080573668C51544822 @default.
• W2080573668 hasConceptScore W2080573668C542102704 @default.
• W2080573668 hasConceptScore W2080573668C62520636 @default.
• W2080573668 hasConceptScore W2080573668C78045399 @default.

• next