Matches in SemOpenAlex for { <https://semopenalex.org/work/W4241553578> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W4241553578 endingPage "41" @default.
- W4241553578 startingPage "21" @default.
- W4241553578 abstract "This chapter introduces a class of differential equations in which the highest order derivative is one. These equations have a single independent variable. These are termed Ordinary Differential Equations (ODEs) precisely because of the dependence on a single variable. The chapter discusses motivational examples of ODEs, qualitative properties of ODEs, common finite difference schemes for initial value problems for ODEs, and some theoretical foundations. It also introduces a number of important and useful difference schemes. The main schemes are: explicit Euler, implicit Euler, Crank–Nicolson, and the trapezoidal method. The chapter presents exponentially fitted schemes that are used for boundary layer problems and the extrapolation method to increase the accuracy of finite difference schemes. It also discusses the following properties of a finite difference approximation to an ODE: consistency, stability, and convergence. The presence of different time scales in ODEs leads to a number of challenges when approximating them using the standard finite difference schemes." @default.
- W4241553578 created "2022-05-12" @default.
- W4241553578 date "2021-03-22" @default.
- W4241553578 modified "2023-09-27" @default.
- W4241553578 title "Ordinary Differential Equations ( <scp>ODEs</scp> ), Part 1" @default.
- W4241553578 doi "https://doi.org/10.1002/9781119719731.ch2" @default.
- W4241553578 hasPublicationYear "2021" @default.
- W4241553578 type Work @default.
- W4241553578 citedByCount "0" @default.
- W4241553578 crossrefType "other" @default.
- W4241553578 hasConcept C102893441 @default.
- W4241553578 hasConcept C112972136 @default.
- W4241553578 hasConcept C118615104 @default.
- W4241553578 hasConcept C119857082 @default.
- W4241553578 hasConcept C132459708 @default.
- W4241553578 hasConcept C134306372 @default.
- W4241553578 hasConcept C162324750 @default.
- W4241553578 hasConcept C181330731 @default.
- W4241553578 hasConcept C182310444 @default.
- W4241553578 hasConcept C182365436 @default.
- W4241553578 hasConcept C2776436953 @default.
- W4241553578 hasConcept C2777303404 @default.
- W4241553578 hasConcept C28826006 @default.
- W4241553578 hasConcept C33923547 @default.
- W4241553578 hasConcept C34862557 @default.
- W4241553578 hasConcept C38409319 @default.
- W4241553578 hasConcept C41008148 @default.
- W4241553578 hasConcept C50522688 @default.
- W4241553578 hasConcept C51544822 @default.
- W4241553578 hasConcept C62884695 @default.
- W4241553578 hasConcept C75380026 @default.
- W4241553578 hasConcept C768646 @default.
- W4241553578 hasConcept C78045399 @default.
- W4241553578 hasConceptScore W4241553578C102893441 @default.
- W4241553578 hasConceptScore W4241553578C112972136 @default.
- W4241553578 hasConceptScore W4241553578C118615104 @default.
- W4241553578 hasConceptScore W4241553578C119857082 @default.
- W4241553578 hasConceptScore W4241553578C132459708 @default.
- W4241553578 hasConceptScore W4241553578C134306372 @default.
- W4241553578 hasConceptScore W4241553578C162324750 @default.
- W4241553578 hasConceptScore W4241553578C181330731 @default.
- W4241553578 hasConceptScore W4241553578C182310444 @default.
- W4241553578 hasConceptScore W4241553578C182365436 @default.
- W4241553578 hasConceptScore W4241553578C2776436953 @default.
- W4241553578 hasConceptScore W4241553578C2777303404 @default.
- W4241553578 hasConceptScore W4241553578C28826006 @default.
- W4241553578 hasConceptScore W4241553578C33923547 @default.
- W4241553578 hasConceptScore W4241553578C34862557 @default.
- W4241553578 hasConceptScore W4241553578C38409319 @default.
- W4241553578 hasConceptScore W4241553578C41008148 @default.
- W4241553578 hasConceptScore W4241553578C50522688 @default.
- W4241553578 hasConceptScore W4241553578C51544822 @default.
- W4241553578 hasConceptScore W4241553578C62884695 @default.
- W4241553578 hasConceptScore W4241553578C75380026 @default.
- W4241553578 hasConceptScore W4241553578C768646 @default.
- W4241553578 hasConceptScore W4241553578C78045399 @default.
- W4241553578 hasLocation W42415535781 @default.
- W4241553578 hasOpenAccess W4241553578 @default.
- W4241553578 hasPrimaryLocation W42415535781 @default.
- W4241553578 hasRelatedWork W1501782796 @default.
- W4241553578 hasRelatedWork W1968173024 @default.
- W4241553578 hasRelatedWork W1971076002 @default.
- W4241553578 hasRelatedWork W1996393700 @default.
- W4241553578 hasRelatedWork W2000619036 @default.
- W4241553578 hasRelatedWork W2243194968 @default.
- W4241553578 hasRelatedWork W2340807170 @default.
- W4241553578 hasRelatedWork W2378504881 @default.
- W4241553578 hasRelatedWork W2921137561 @default.
- W4241553578 hasRelatedWork W3212967276 @default.
- W4241553578 isParatext "false" @default.
- W4241553578 isRetracted "false" @default.
- W4241553578 workType "other" @default.