Results 61 to 70 of about 12,082,846 (215)
The application of Weierstrass elliptic functions to Schwarzschild null geodesics [PDF]
, 2011 In this paper, we focus on analytical calculations involving null geodesics in some spherically symmetric spacetimes. We use Weierstrass elliptic functions to fully describe null geodesics in Schwarzschild spacetime and to derive analytical formulae ...
G. Gibbons, Martin Vyska
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT This study presents a three‐dimensional cohesive phase field framework for simulating quasi‐static fracture in Gyroid lattice structures. To the authors' knowledge, this is one of the first experimentally validated applications of a diffuse cohesive phase field model to describe damage and fracture evolution in additively manufactured ...
Deison Preve +4 more
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The Picard and the Gauss-Weierstrass singular integrals of functions in two variables
Le Matematiche, 1997 We study some approximation properties of the Picard and the Gauss-Weierstrass singular integrals of functions of two variables belonging to some exponential weighted spaces. In Sec. 3.1 and 3.2 we give two theorems on the degree of approximation and two
K. Bogalska +3 more
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Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations
MathematicsThis paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
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A novel multi-soliton solution of breaking equation based on Weierstrass p function
Advances in Mechanical Engineering, 2016 The mapping and projective method is extended to investigate a nonlinear (2 + 1)-dimensional coupled breaking system by introducing expansion and nonlinear transformation, and some exact propagating solutions with variable separation are constructed for ...
Shao Fu Wang, Da-Zhuan Xu
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International Journal of Robust and Nonlinear Control, Volume 36, Issue 10, Page 5619-5634, 10 July 2026.ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye +2 more
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Transformation Discriminant Analysis for Constructing Optimal Biomarker Combinations
Statistics in Medicine, Volume 45, Issue 15-17, July 2026.ABSTRACT Accurate diagnostic tests are essential for effective screening and treatment. However, individual biomarkers often fail to provide sufficient diagnostic accuracy, as they typically capture only one aspect of the complex disease process. Combining multiple biomarkers, each capturing a distinct mechanism, can help construct more informative ...
Ainesh Sewak +2 more
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Introducing elliptic, an R Package for Elliptic and Modular Functions
Journal of Statistical Software, 2006 This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these ...
Robin K.S. Hankin
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Complexity, 2022 In this study, some new hypotheses and techniques are presented to obtain some new analytical solutions (localized and periodic solutions) to the generalized Kawahara equation (gKE).
Haifa A. Alyousef +3 more
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On the dimension of graphs of Weierstrass-type functions with rapidly growing frequencies [PDF]
, 2011 We determine the Hausdorff and box dimension of the fractal graphs of some Weierstrass-type functions of the form , where g is a periodic Lipschitz real function and an+1/an → 0, bn+1/bn → ∞ as n → ∞.
Krzysztof Barański
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