Eksempler på brug af Solutions of differential equations på Engelsk og deres oversættelser til Dansk
{-}
-
Colloquial
-
Official
-
Medicine
-
Financial
-
Ecclesiastic
-
Official/political
-
Computer
He also worked on approximate solutions of differential equations and the history of mathematics.
Remez generalised Chebyshev- Markov characterisation theory andused it to obtain approximate solutions of differential equations.
In examining periodic solutions of differential equations Bendixson used methods based on continued fractions.
Vallée Poussin's first mathematical research was on analysis,in particular concentrating on integrals and solutions of differential equations.
Fuchs also investigated how to find the matrix connecting two systems of solutions of differential equations near two different points.
He was awarded a doctorate by Göttingen in February 1901 for a dissertation, supervised by Hilbert,Über den analytischen Charakter der Lösungen von Differentialgleichungen On the analytic character of solutions of differential equations.
Osgood's main work was on the convergence of sequences of continuous functions, solutions of differential equations, the calculus of variations and space filling curves.
An idea from this work,in which he constructed a function using successive approximations, led Emile Picard to his existence proof for solutions of differential equations.
He considered linear equations with constant coefficients, second order differential equations with variable coefficients,power series solutions of differential equations, a method of variation of constants, integrating factors, a method of approximating solutions, and many others.
Nikodym 's name is mostly known in measure theory( e. g. the Radon- Nikodym theorem and derivative, the Nikodym convergence theorem, the Nikodym- Grothendieck boundedness theorem), in functional analysis( the Radon- Nikodym property of a Banach space, the Frechet- Nikodym metric space, a Nikodym set), projections onto convex sets with applications to Dirichlet problem,generalized solutions of differential equations, descriptive set theory and the foundations of quantum mechanics.
His most original contribution was the numeric-analytic method for the study of periodic solutions of differential equations with periodic right hand side.
He examined his contact transformations considering how they affected a process due to Jacobi of generating further solutions of differential equations from a given one.
His Institute rapidly became a centre for research into areas such as probability, statistics,numerical solutions of differential equations, elasticity and aerodynamics.
Petryshyn writes in:His most original contribution was the numeric-analytic method for the study of periodic solutions of differential equations with periodic right hand side.
Solution of differential equations by the power series method 2.
FEniCS is a free application for automated solution of differential equations.
Sintsov's main areas of interest were in the theory of conics andapplications of this geometrical theory to the solution of differential equations and to the theory of nonholonomic differential geometry.
This book is very much in the spirit of the modern Russian school concerned with the so-called constructive theory of functions,approximative methods for the solution of differential equations, and so forth.
Boole had begun to correspond with De Morgan in 1842 andwhen in the following year he wrote a paper On a general method of analysis applying algebraic methods to the solution of differential equations he sent it to De Morgan for comments.
Apr 15 in Educational& Science Software,Math Software Linux read more FEniCS 1.3.0 FEniCS is a free application for automated solution of differential equations. We provide software tools for working with computational meshes, finite element variational formulations of PDEs, ODE solvers and linear algebra. FEniCS is organized as a.
In this paper criteria are given for determining conditions which guarantee the stability of numerical solutions of certain classes of differential equations.
He studied these special functions as arising from the solution of differential equations derived from the hypergeometric equation. .
However the war had ended before the machine came into service butit was still used for the numerical solution of differential equations as intended.
I proposed to Tamarkin that he think about the asymptotic solution of differential equations(i.e. stability, in the sense of Poincaré and Lyapunov) or the problem of equilibrium of a rectangular plate.
It was designed for the specific task of compiling tables for the trajectories of bombs and shells to take over the calculations which McNulty and about 75 other women were carrying out. However the war had ended before the machine came into service butit was still used for the numerical solution of differential equations as intended.
At the Massachusetts Institute of Technology he also worked on the differential analyser,an early type of mechanical computer developed by Vannevar Bush for obtaining numerical solutions to ordinary differential equations. Shannon published Mathematical theory of the differential analyzer in 1941.
Lindelöf's first work in 1890 was on the existence of solutions for differential equations.
This problem, posed at the 1900 Congress,was on analytic solutions of elliptic differential equations.
Subsequently(in collaboration with I M Singer)he established an important theorem dealing with the number of solutions of elliptic differential equations.
There he lectured at the Collège de France on functions which are the solutions of first order differential equations.