e/Finite difference

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has glosseng: A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences plays a central role in finite difference methods for the numerical solution of differential equations, especially boundary value problems.
lexicalizationeng: Finite differences
lexicalizationeng: finite difference
subclass of(noun) the quality of being unlike or dissimilar; "there are many differences between jazz and rock"
difference
has instancee/Carlson's theorem
has instancee/Difference operator
has instancee/Discrete Laplace operator
has instancee/Discrete Poisson equation
has instancee/Divided differences
has instancee/Faulhaber's formula
has instancee/Hermite interpolation
has instancee/Mean value theorem (divided differences)
has instancee/Nörlund–Rice integral
has instancee/Reciprocal difference
has instancee/Table of Newtonian series
has instancee/Thiele's interpolation formula
Meaning
Bulgarian
has glossbul: Крайна разлика е математически израз от вида f(x + b) − f(x +a). Ако крайната разлика се раздели на b − a, се получава израз, подобен на диференчно частно, но включващ крайни, а не безкрайно малки величини. Приближението на производни с крайни разлики е в основата на метода на крайните разлики, който се използва за числено решаване на частни диференциални уравнения.
lexicalizationbul: Крайна разлика
German
has glossdeu: Die Differenzenrechnung ist das Teilgebiet der Mathematik, das das diskrete Analogon zur Analysis (Differenzial- und Integralrechnung) bildet. Während sich die Analysis mit Funktionen beschäftigt, die auf kontinuierlichen Räumen definiert sind (um einen Grenzwertbegriff etablieren zu können), im besonderen mit Funktionen auf den reellen Zahlen, interessiert man sich in der Differenzenrechnung für Funktionen auf den ganzen Zahlen ℤ.
lexicalizationdeu: Differenzenrechnung
Esperanto
lexicalizationepo: Finiaj diferencoj
French
has glossfra: En mathématique, une différence finie est une expression de la forme f(x + b) − f(x + a). (où f est une fonction numérique) ; la même expression divisée par b − a sappelle un taux daccroissement (ou taux de variation), et il est possible, plus généralement, de définir de même des différences divisées. L'approximation des dérivées par des différences finies joue un rôle central dans les méthodes des différences finies utilisées pour la résolution numérique des équations différentielles, tout particulièrement pour les problèmes de conditions aux limites.
lexicalizationfra: différence finie
lexicalizationfra: Différences finies
Italian
has glossita: In matematica, una differenza finita è unespressione matematica nella forma di una differenza tra i valori assunti da una funzione in due specifici punti. Le differenze finite sono centrali nellanalisi numerica per l'approssimazione delle derivate e quindi nella risoluzione numerica delle equazioni differenziali.
lexicalizationita: differenza finita
Russian
has glossrus: Конечная разность — математический термин, широко применяющийся в методах вычисления при интерполировании.
lexicalizationrus: Конечные разности
Castilian
has glossspa: Una diferencia finita es una expresión matemática de la forma f(x + b) − f(x +a). Si una diferencia finita se divide por b − a se obtiene una expresión similar al cociente diferencial, que difiere en que se emplean cantidades finitas en lugar de infinitesimales. La aproximación de las derivadas por diferencias finitas desempeña un papel central en los métodos de diferencias finitas del análisis numérico para la resolución de ecuaciones diferenciales.
lexicalizationspa: Diferencia finita
Turkish
lexicalizationtur: Sonlu farklar
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