On Numerical Solution of Hypersingular Integral Equations of the First Kind
Владикавказский математический журнал, 2020 В работе рассматривается один метод квадратур для численного решения гиперсингулярных интегральных уравнений на классе функций, неограниченных на концах интервала интегрирования. Для гиперсингулярного интеграла с весовой функцией p(x)1/sqrt1-x2 строится квадратурная формула интерполяционного типа с применением нулей ортогонального многочлена Чебышева ...
openaire +2 more sources
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
Scattering of Magnetoacoustic Waves and Dynamic Stress Concentration around Double Openings in Piezomagnetic Composites. [PDF]
Materials (Basel), 2021 Xue H +11 more
europepmc +1 more source
Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
europepmc +1 more source
Approximations of hypersingular integral equations by the quadrature method
Hokkaido Mathematical Journal, 2006 A numerical method is proposed and investigated for the hypersingular in- tegral equations defined in Banach spaces. The hypersingular integral equations belong to a wider class of singular integral equations having much more stronger singularities. The proposed approximation method is an extension beyond the quadrature method.
LADOPOULOS, E.G., ZISIS, V.A.
openaire +2 more sources
Integro-differential equations with singular and hypersingular integrals
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 2019 Quadrature linear integro-differential equations on a closed curve located in the complex plane are solved. The equations contain singular integrals which are understood in the sense of the main value and hypersingular integrals which are understood in the sense of the Hadamard finite part. The coefficients of the equations have a special structure.
E. I. Zverovich, A. P. Shilin
openaire +2 more sources
Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. [PDF]
Stoch Partial Differ Equ, 2022 Harbrecht H, Schmidlin M.
europepmc +1 more source
Active thermal cloaking and mimicking. [PDF]
Proc Math Phys Eng Sci, 2021 Cassier M +3 more
europepmc +1 more source
Advanced materials modelling via fractional calculus: challenges and perspectives. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Failla G, Zingales M.
europepmc +1 more source
Modified homotopy perturbation method for solving hypersingular integral equations of the first kind. [PDF]
Springerplus, 2016 Eshkuvatov ZK +3 more
europepmc +1 more source