Titlebook: Handbook of Splines; Gheorghe Micula,Sanda Micula Book 1999 Springer Science+Business Media Dordrecht 1999 Finite.applied mathematics.diff

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t an equivalent locally uniformly rotund norm on a given normed space .. The discreetness of the basis for the metric topologies gives us the necessary rigidity condition that appears in all the known cases of existence of such a renorming property [Hay99, MOTV06]. Our approximation process is based

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Nonlinear Sets of Spline Functions,Peano’s existence proof for solution to the initial value problem of ordinary differential equations, although these functions were not called splines. Splines were first identified since Schoenberg’s fundamental paper was published in 1946. After this moment the theory of polynomial spline function

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Numerical Solution of Ordinary Differential Equations,perties of odd degree one and we shall develop a very efficient procedure to use this spline for the numerical solutions of differential equations with initial conditions. For details of the theory of spline functions of even degre we refer to Micula and Blaga (1995).

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Splines and Finite Elements,s, namely elliptic, parabolic and hyperbolic equations. The finite element method is also a general technique for numerical solution of differential and integral equation in science and engineering. The method was introduced by engineers in the late 50’s and early 60’s for the numerical solution of

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Box Splines,tions in one several arguments. Since they are locally polynomial, they are easy to evaluate. Since they are smooth, they can be used when smoothness is required, as in the numerical solution of integral, differential and partial differential equations (in the Finite Element Method) or the modelling

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