Titlebook: New Trends in Shape Modelling and Approximation Methods; Driss Sbibih,Sara Remogna,Abdelhafid Serghini Conference proceedings 2024 The Edi

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C. Allouch,D. Sbibih,M. Tahrichireader to ?nd further details in the literature. The main objective of this revised edition was therefore to include the new developments but leave the character of the book i978-1-4419-2308-0978-0-387-34758-5Series ISSN 0342-4111 Series E-ISSN 1556-1534

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Construction of Quadratic and Cubic Orthogonal ,B-spline WaveletsThe definition and basic properties of .B-splines, frequently used as primal scaling functions, are introduced, as well as their refinement equation. Then, a method for constructing orthogonal wavelets using . and . .B-splines is presented.

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Solving Boundary Value Problems Using a Cubic Spline Quasi-Interpolant-Based Collocation MethodThis paper presents a study of the cubic spline collocation method for solving boundary value problems. The proposed method is based on super-convergent quasi-interpolant.The convergence analysis of this method is discussed, and we have given numerical results to illustrate the error estimates and the order of convergence.

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