Matches in SemOpenAlex for { <https://semopenalex.org/work/W4362679427> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4362679427 abstract "We guide the reader on a journey through mathematical modeling and numerical analysis, emphasizing the crucial interplay of both disciplines. Targeting undergraduate students with basic knowledge in dynamical systems and numerical methods for ordinary differential equations, we explore a model from mathematical biology where numerical methods fail badly due to catastrophic floating point errors. We analyze the reasons for this behavior by studying the steady states of the model and use the theory of invariants to develop an alternative model that is suited for numerical simulations. Our story intends to motivate combining analytical and numerical knowledge, even in cases where the world looks fine at first sight. We have set up an online repository containing an interactive notebook with all numerical experiments to make this study fully reproducible and useful for classroom teaching." @default.
- W4362679427 created "2023-04-07" @default.
- W4362679427 creator A5041188954 @default.
- W4362679427 creator A5056123559 @default.
- W4362679427 date "2023-04-05" @default.
- W4362679427 modified "2023-10-01" @default.
- W4362679427 title "Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs" @default.
- W4362679427 doi "https://doi.org/10.48550/arxiv.2304.02365" @default.
- W4362679427 hasPublicationYear "2023" @default.
- W4362679427 type Work @default.
- W4362679427 citedByCount "0" @default.
- W4362679427 crossrefType "posted-content" @default.
- W4362679427 hasAuthorship W4362679427A5041188954 @default.
- W4362679427 hasAuthorship W4362679427A5056123559 @default.
- W4362679427 hasBestOaLocation W43626794271 @default.
- W4362679427 hasConcept C121332964 @default.
- W4362679427 hasConcept C134306372 @default.
- W4362679427 hasConcept C177264268 @default.
- W4362679427 hasConcept C199343813 @default.
- W4362679427 hasConcept C199360897 @default.
- W4362679427 hasConcept C2524010 @default.
- W4362679427 hasConcept C2777686260 @default.
- W4362679427 hasConcept C28719098 @default.
- W4362679427 hasConcept C28826006 @default.
- W4362679427 hasConcept C33923547 @default.
- W4362679427 hasConcept C34862557 @default.
- W4362679427 hasConcept C41008148 @default.
- W4362679427 hasConcept C44154836 @default.
- W4362679427 hasConcept C48753275 @default.
- W4362679427 hasConcept C500300565 @default.
- W4362679427 hasConcept C51544822 @default.
- W4362679427 hasConcept C62520636 @default.
- W4362679427 hasConcept C71924100 @default.
- W4362679427 hasConcept C78045399 @default.
- W4362679427 hasConcept C79379906 @default.
- W4362679427 hasConceptScore W4362679427C121332964 @default.
- W4362679427 hasConceptScore W4362679427C134306372 @default.
- W4362679427 hasConceptScore W4362679427C177264268 @default.
- W4362679427 hasConceptScore W4362679427C199343813 @default.
- W4362679427 hasConceptScore W4362679427C199360897 @default.
- W4362679427 hasConceptScore W4362679427C2524010 @default.
- W4362679427 hasConceptScore W4362679427C2777686260 @default.
- W4362679427 hasConceptScore W4362679427C28719098 @default.
- W4362679427 hasConceptScore W4362679427C28826006 @default.
- W4362679427 hasConceptScore W4362679427C33923547 @default.
- W4362679427 hasConceptScore W4362679427C34862557 @default.
- W4362679427 hasConceptScore W4362679427C41008148 @default.
- W4362679427 hasConceptScore W4362679427C44154836 @default.
- W4362679427 hasConceptScore W4362679427C48753275 @default.
- W4362679427 hasConceptScore W4362679427C500300565 @default.
- W4362679427 hasConceptScore W4362679427C51544822 @default.
- W4362679427 hasConceptScore W4362679427C62520636 @default.
- W4362679427 hasConceptScore W4362679427C71924100 @default.
- W4362679427 hasConceptScore W4362679427C78045399 @default.
- W4362679427 hasConceptScore W4362679427C79379906 @default.
- W4362679427 hasLocation W43626794271 @default.
- W4362679427 hasOpenAccess W4362679427 @default.
- W4362679427 hasPrimaryLocation W43626794271 @default.
- W4362679427 hasRelatedWork W158893549 @default.
- W4362679427 hasRelatedWork W1905255517 @default.
- W4362679427 hasRelatedWork W2051364687 @default.
- W4362679427 hasRelatedWork W2164302731 @default.
- W4362679427 hasRelatedWork W2615580716 @default.
- W4362679427 hasRelatedWork W2765383988 @default.
- W4362679427 hasRelatedWork W2767983150 @default.
- W4362679427 hasRelatedWork W3216402235 @default.
- W4362679427 hasRelatedWork W4298147562 @default.
- W4362679427 hasRelatedWork W4302604620 @default.
- W4362679427 isParatext "false" @default.
- W4362679427 isRetracted "false" @default.
- W4362679427 workType "article" @default.