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Found 408 Documents (Results 1–100)

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Existence of hypersingular integrals with a power singularity of arbitrary integer order. (English. Russian original) Zbl 07441912

Mosc. Univ. Comput. Math. Cybern. 45, No. 3, 126-133 (2021); translation from Vestn. Mosk. Univ., Ser. XV 2021, No. 3, 44-51 (2021).
MSC:  45E05 26A39 26A42
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Approximate solution of hypersingular integral equation by using differential transform method. (English) Zbl 1477.65270

Giri, Debasis (ed.) et al., Proceedings of the fifth international conference on mathematics and computing, ICMC 2019, Bhubaneswar, India, February 6–9, 2019. Singapore: Springer. Adv. Intell. Syst. Comput. 1170, 181-186 (2021).
MSC:  65R20 45E05
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Method of boundary integral equations with hypersingular integrals in boundary-value problems. (English. Russian original) Zbl 1475.30093

J. Math. Sci., New York 257, No. 1, 114-126 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 114-125 (2019).
MSC:  30E25 45E99 65N38
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Torsion processes for cylindrical samples made of incompressible viscoelastic materials of the Maxwell type. (English. Russian original) Zbl 1460.74012

Mech. Solids 54, No. 2, 329-340 (2019); translation from Prikl. Mat. Mekh. 83, No. 1, 95-106 (2019).
MSC:  74D10
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Hypersingular integrals in integral equations and inequalities: fundamental review study. (English) Zbl 1442.65462

Andrica, Dorin (ed.) et al., Differential and integral inequalities. Cham: Springer. Springer Optim. Appl. 151, 687-717 (2019).
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Numerical solution of a surface hypersingular integral equation by piecewise linear approximation and collocation methods. (English. Russian original) Zbl 1427.65426

Comput. Math. Math. Phys. 59, No. 6, 942-957 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 6, 990-1006 (2019).
MSC:  65R20 45E10 65N35
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Convergence of the piecewise linear approximation and collocation method for a hypersingular integral equation on a closed surface. (English. Russian original) Zbl 1382.65472

Differ. Equ. 53, No. 9, 1231-1246 (2017); translation from Differ. Uravn. 53, No. 9, 1265-1280 (2017).
MSC:  65R20 45E05
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Convergence of a numerical method for solving a hypersingular integral equation on a segment with the use of piecewise linear approximations on a nonuniform grid. (English. Russian original) Zbl 1372.65353

Differ. Equ. 53, No. 2, 234-247 (2017); translation from Differ. Uravn. 53, No. 2, 237-249 (2017).
MSC:  65R20 45E10
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A numerical method for solving a system of hypersingular integral equations of the second kind. (English. Russian original) Zbl 1354.65277

Cybern. Syst. Anal. 52, No. 3, 394-407 (2016); translation from Kibern. Sist. Anal. 2016, No. 3, 67-82 (2016).
MSC:  65R20 45F15
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Justification of the Galerkin method for hypersingular equations. (English. Russian original) Zbl 1346.65074

Comput. Math. Math. Phys. 56, No. 3, 417-425 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 432-440 (2016).
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Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body. (English. Russian original) Zbl 1341.78020

Differ. Equ. 51, No. 9, 1197-1210 (2015); translation from Differ. Uravn. 51, No. 9, 1206-1219 (2015).
MSC:  78A45 45E05 65R20 78M25 65D30
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Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations. (English. Russian original) Zbl 1308.78011

Differ. Equ. 50, No. 9, 1240-1251 (2014); translation from Differ. Uravn. 50, No. 9, 1253-1263 (2014).
MSC:  78A45 78M25 45E05 65N35
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Solutions of hypersingular integral equations over circular domains by a spectral method. (English) Zbl 1340.65316

Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 15–17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-61-5). 52-66 (2013).
MSC:  65R20 76B15 45E10
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On the numerical method for solving a hypersingular integral equation with the computation of the solution gradient. (English. Russian original) Zbl 1285.65093

Differ. Equ. 49, No. 9, 1168-1175 (2013); translation from Differ. Uravn. 49, No. 9, 1202-1209 (2013).
MSC:  65R20 45E10 45A05
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On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent. (English) Zbl 1278.45003

Math. Notes 93, No. 4, 583-592 (2013); translation from Mat. Zametki 93, No. 4, 575-585 (2013).
MSC:  45E10
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On the numerical solution of a complete two-dimensional hypersingular integral equation by the method of discrete singularities. (English) Zbl 1275.65094

Differ. Equ. 49, No. 2, 224-234 (2013); translation from Differ. Uravn. 49, No. 2, 223-233 (2013).
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Diffraction of an electromagnetic wave by gaps between plates. (English. Russian original) Zbl 1280.78003

Lobachevskii J. Math. 33, No. 4, 364-373 (2012); translation from Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 153, No. 4, 37-48 (2011).
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Convergence of a numerical scheme of the type of the vortex loop method on a closed surface with an approximation to the surface shape. (English. Russian original) Zbl 1269.65140

Differ. Equ. 48, No. 9, 1308-1317 (2012); translation from Differ. Uravn. 48, No. 9, 1327-1336 (2012).
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