Results 101 to 110 of about 1,219,987 (236)
Numerical evaluation of hypersingular integrals
Journal of Computational and Applied Mathematics, 1994 The paper is motivated by the occurrence of singular and hypersingular integrals in applied mathematics, for example Cauchy principal value and Hadamard finite-part integrals in boundary integral equations. Attention is concentrated on the less familiar two-dimensional Cauchy principal value integrals and one- and two-dimensional integrals with ...
openaire +2 more sources
A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
, 1992 The limiting process that leads to the formulation of hypersingular boundary integral equations is first discussed in detail. It is shown that boundary integral equations with hypersingular kernels are perfectly meaningful even at non-smooth boundary ...
Rudolphi, Thomas +3 more
core +2 more sources
On an approximate method for solving the inverse problem of heat transfer
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. Developing exact and stable algorithms for solution of inverse problems of mathematical physics is at the leading edge of modern numerical mathematics thanks to rapidly increasing number of applications of such problems in physical and ...
Il'ya V. Boykov, Vladimir A. Ryazantsev
doaj +1 more source
Enrichment of the Boundary Element Method through the Partition of Unity Method for Fracture Analysis using Local and Global Formulations [PDF]
, 2010 The present thesis proposes an innovative technique of applying enrichment to the Boundary Element Method to allow accurate analysis of 2D crack problems. An overview of fracture mechanics is given, with particular emphasis given to numerical methods and
SIMPSON, ROBERT
core
, 1990 The need for hypersingular boundary integral equations in crack problems is motivated through acoustic and elastic wave scattering from a thin screen and crack. By integrating over a small (not necessarily symmetric) neighborhood about the singular point,
Krishnasamy, Gunaseelan
core +1 more source
A Quadrature Method for the Hypersingular Integral Equation on an Interval [PDF]
Journal of Integral Equations and Applications, 1995 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
openaire +5 more sources
Explicit solution of one hypersingular integro-differential equation of the second order
Журнал Белорусского государственного университета: Математика, информатика, 2019 The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function.
Andrei P. Shilin
doaj +1 more source
Discrete mathematical model of a hypersingular integral equation [PDF]
, 2019 На основе метода дискретных особенностей построена дискретная математическая модель гиперсингулярного интегрального уравнения на стандартном интервале (1,1) − и на системе интервалов.
Полянская, Татьяна Семеновна
core
Multiscale Coupling of One-dimensional Vascular Models and Elastic Tissues. [PDF]
Ann Biomed Eng, 2021 Heltai L, Caiazzo A, Müller LO.
europepmc +1 more source
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source