Results 81 to 90 of about 501,741 (285)
Error Bounds for Lagrange Interpolation
Journal of Approximation Theory, 1995 Consider an interpolation of functions \(f\in W_ \infty^ m [a,b]\) by Lagrange polynomials \(\ell_{m-1}\), \(\Delta(f)\) of degree \(m-1\) at the mesh \(\Delta\) of the interpolating nodes \(\{t_ j\}^ m_ 1\). Error bounds due to this approximation is evaluated as \[ L_{m,k} (\Delta)= \sup_{x\in [a,b]} L_{m,k} (\Delta,x)= {\textstyle {1\over m ...
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On the summability of Lagrange interpolation
Journal of Approximation Theory, 1973 Journal of Approximation Theory 9 (1973) 349-356. doi:10.1016/0021-9045(73)90080-4 ; Received by publisher: 1971-10-18 ; Harvest Date: 2016-01-04 12:19:59 ; DOI:10.1016/0021-9045(73)90080-4 ; Page Range: 349 ...
Department of Mathematics, University of Florida, Gainesville, Florida 32601 U.S.A. ( host institution ) +2 more
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On Lagrange Interpolation at Disturbed Roots of Unity [PDF]
Transactions of the American Mathematical Society, 1993 Let z n k
Chui, Charles K. +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac +2 more
wiley +1 more source
Process‐Structure‐Morphing Coupling in Thermally Activated ABS 4D Printing
Polymer Engineering &Science, EarlyView.Graphical abstract illustrating thermally induced shape morphing in FDM‐printed ABS beams. ABSTRACT Predictable thermally induced morphing in fused deposition modeled thermoplastics remains difficult because the deformation response is highly sensitive to processing and activation conditions.
Grigorios Kostopoulos +1 more
wiley +1 more source
Local convergence of general Steffensen type methods
Journal of Numerical Analysis and Approximation Theory, 2004 We study the local convergence of a generalized Steffensen method. We show that this method substantially improves the convergence order of the classical Steffensen method.
Ion Păvăloiu
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Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
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AN IDENTITY ON SYMMETRIC POLYNOMIALS
Tạp chí Khoa học Đại học Đà Lạt, 2020 In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
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Urban Housing Markets and Sustainability Risk: Empirical Evidence From South African Cities
Sustainable Development, EarlyView.ABSTRACT Despite the global shift toward sustainability and rising expectations for socially and environmentally responsible housing, evidence from South Africa's urban markets remains limited and underexplored. This study examines how sustainability‐related vulnerabilities shape downside housing risk across 60 cities between 2002 and 2021.
Bereket A. Ataro +2 more
wiley +1 more source
Results in Applied MathematicsIn Boffi et al. (2000), it was shown that the linear Lagrange element space on criss-cross meshes and its divergence exhibit spurious eigenvalues when applied in the mixed formulation of the Laplace eigenvalue problem, despite satisfying both the inf–sup
Kaibo Hu, Jiguang Sun, Qian Zhang
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