## Found 408 Documents (Results 1–100)

100
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### Water wave scattering by a thin vertical submerged permeable plate. (English)Zbl 07443840

MSC:  76B15 45E99
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MSC:  76B15
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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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### Numerical solution for the thermally insulated cracks in bonded dissimilar materials using hypersingular integral equations. (English)Zbl 1481.74660

MSC:  74R10 74F05 45F15
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### On the solvability of a hypersingular integral equation on a surface with isothermal coordinates. (English. Russian original)Zbl 1478.45002

Differ. Equ. 57, No. 9, 1256-1272 (2021); translation from Differ. Uravn. 57, No. 9, 1280-1296 (2021).
MSC:  45E99 35J05
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### An integral equation method for wave scattering by a pair of horizontal porous plates. (English)Zbl 1470.74042

Singh, Harendra (ed.) et al., Topics in integral and integro-differential equations. Theory and applications. Cham: Springer. Stud. Syst. Decis. Control 340, 229-255 (2021).
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### Approximate methods for solving hypersingular integral equations. (English)Zbl 1470.65210

Singh, Harendra (ed.) et al., Topics in integral and integro-differential equations. Theory and applications. Cham: Springer. Stud. Syst. Decis. Control 340, 63-101 (2021).
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### Filtered interpolation for solving Prandtl’s integro-differential equations. (English)Zbl 07401538

MSC:  65R20 47G20
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### Boundary-domain integral equation systems to the Dirichlet and Neumann problems for compressible Stokes equations with variable viscosity in 2D. (English)Zbl 1480.76100

MSC:  76N10 35Q30
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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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### Hypersingular boundary integral equations for plane orthotropic elasticity in terms of first-order stress functions. (English)Zbl 1474.74106

MSC:  74S15 45F15
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### Jump relations of certain hypersingular Stokes kernels on regular surfaces. (English)Zbl 1452.31008

MSC:  31B10 41A58 45L05
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### On numerical solution of hypersingular integral equations of the first kind. (Russian. English summary)Zbl 1463.65424

MSC:  65R20 45E05
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### A posteriori error estimates for hypersingular integral equation on spheres with spherical splines. (English)Zbl 1452.65411

MSC:  65R20 65R30 45E05
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### Scattering of surface waves by a pair of asymmetric thin elliptic arc shaped plates with variable permeability. (English)Zbl 1477.76016

MSC:  76B15 76S05
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### Scattering and radiation of water waves by a submerged rigid disc in a two-layer fluid. (English)Zbl 1472.76016

MSC:  76B15 35Q35
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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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MSC:  65R20

### 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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### Hypersingular integro-differential equations with power factors in coefficients. (Russian. English summary)Zbl 1448.45010

MSC:  45J05 45G05
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### Explicit solution of one hypersingular integro-differential equation of the second order. (Russian. English summary)Zbl 1448.45009

MSC:  45J05 45G05
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### Analysis of hypersingular integral equation method to 3D dynamic crack. (Chinese. English summary)Zbl 1449.74208

MSC:  74S99 74R99
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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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### Dynamic instability of shallow shells interacting with three-dimensional potential gas flow. (Russian, English)Zbl 1438.74086

MSC:  74H55 74K25 76X05

### Justification of a quadrature method for an integral equation to the external Neumann problem for the Helmholtz equation. (English)Zbl 1402.45003

MSC:  45E05 31B10
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### Positive powers of the Laplacian: from hypersingular integrals to boundary value problems. (English)Zbl 1400.35091

MSC:  35J40 35R11 31B30
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### A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels. (English)Zbl 1451.65239

MSC:  65R20 45B05 45E99
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### Regularity theory and high order numerical methods for the (1D)-fractional Laplacian. (English)Zbl 1409.65111

MSC:  65R20 35B65 33C45
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### New iterative method for solving linear and nonlinear hypersingular integral equations. (English)Zbl 1382.65466

MSC:  65R20 45E10 45G05
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### A new approximate method for solving hypersingular integral equations with Hilbert kernel. (English)Zbl 1446.65208

MSC:  65R20 41A35 45E05

### 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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### The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating. (English)Zbl 1375.78038

MSC:  78M15 65R20 78A45
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### An integral equation technique for scattering problems with mixed boundary conditions. (English)Zbl 1372.65318

MSC:  65N38 35J05
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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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### Radiation of water waves by a submerged nearly circular plate. (English)Zbl 1381.76033

MSC:  76B07 74F10 86A05
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### Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. (English)Zbl 1425.65215

MSC:  65R20 45E10 45F05
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### Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners. (English)Zbl 1378.65078

MSC:  65D32 45E10
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### Hypersingular boundary integral formulations for plane elasticity in terms of first-order stress functions. (English)Zbl 1374.74124

MSC:  74S15 45F15

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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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### On solving the Schrödinger equation with hypersingular kernel in momentum space. (English. Russian summary)Zbl 1339.81029

MSC:  81Q05 45E99
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### Optimal additive Schwarz methods for the $$hp$$-BEM: the hypersingular integral operator in 3D on locally refined meshes. (English)Zbl 1443.65403

MSC:  65N38 65N55 45E05
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### Hypersingular integral equation based micromechanical models for a microscopically damaged antiplane interface between a thin elastic layer and an elastic half space. (English)Zbl 1443.74123

MSC:  74-10 74A60
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### Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods. (English)Zbl 1349.65096

MSC:  65D30 65N38
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### Quadrature algorithms for high dimensional singular integrands on simplices. (English)Zbl 1332.65035

MSC:  65D32 41A55 41A63
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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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### Regularization of divergent integrals: a comparison of the classical and generalized-functions approaches. (English)Zbl 1329.65291

MSC:  65N38 35J25 65R30
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### Electromagnetic scattering by periodic structures with sign-changing coefficients. (Diffraction électromagnétique par un réseau périodique avec des coefficients qui changent de signe.) (English. French summary)Zbl 1328.35233

MSC:  35Q60 78A45 45E99
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### A note on evaluation of temporal derivative of hypersingular integrals over open surface with propagating contour. (English)Zbl 1317.30059

MSC:  30E20 45E05 74G70
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### Numerical approach for the solution of hypersingular integro-differential equations. (English)Zbl 1410.65495

MSC:  65R20 65L06 45J05
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### Efficient high order waveguide mode solvers based on boundary integral equations. (English)Zbl 1349.78085

MSC:  78M15 65N38 78A50
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### Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure. (English)Zbl 1463.65422

MSC:  65R20 65Z05
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### Numerical method for the solution of a hypersingular integral equation of the second kind. (English. Ukrainian original)Zbl 1327.65282

Ukr. Math. J. 65, No. 9, 1373-1383 (2014); translation from Ukr. Mat. Zh. 65, No. 9, 1236-1244 (2013).
MSC:  65R20 45E10
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### A Nyström method for the two dimensional Helmholtz hypersingular equation. (English)Zbl 1310.65153

MSC:  65N38 65N12 35J05
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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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### An approach based on generalized functions to regularize divergent integrals. (English)Zbl 1297.65188

MSC:  65N38 65D30
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MSC:  65N38
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### An approximate solution of nonlinear hypersingular integral equations. (English)Zbl 1297.65203

MSC:  65R20 45E10 45G05
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MSC:  65R20
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### Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter’s method. (English)Zbl 1299.45006

MSC:  45E99 42A10 42C10
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### Linear integral equations. 3rd ed. (English)Zbl 1328.45001

Applied Mathematical Sciences 82. New York, NY: Springer (ISBN 978-1-4614-9592-5/hbk; 978-1-4614-9593-2/ebook). xvi, 412 p. (2014).
MSC:  45-01 45A05 65R20
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### Magnetoelectroelastodynamic interaction of multiple arbitrarily oriented planar cracks. (English)Zbl 1438.74142

MSC:  74R10 74F15 74S15
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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 regularization of bilinear forms with hypersingular kernel. (English)Zbl 1327.65273

MSC:  65R20 65N38
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### Dynamic response of planar cracks in an infinitely long piezoelectric strip. (English)Zbl 1366.74066

MSC:  74R10 74F15
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### Volume integration in the hypersingular boundary integral equation. (English)Zbl 1287.65121

MSC:  65N38 65D30 45E05
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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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### Numerical solution of singular and non-singular integral equations. (English)Zbl 1279.65145

MSC:  65R20 45E05 45G10
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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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MSC:  65R20
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MSC:  65N38
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### A Nitsche-based domain decomposition method for hypersingular integral equations. (English)Zbl 1250.65148

MSC:  65N55 65N38 35J05
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### $$hp$$-DGFEM for Kolmogorov-Fokker-Planck equations of multivariate Lévy processes. (English)Zbl 1252.65214

MSC:  65R20 45K05 60J75 60J60 91B24 91G60
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### A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines. (English)Zbl 1238.65133

MSC:  65R20 45E10 45A05
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### Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: a semi-analytic solution. (English)Zbl 1278.74148

Eur. J. Mech., A, Solids 30, No. 4, 608-618 (2011); corrigendum ibid. 33, 99-100 (2012).
MSC:  74R10 74F15 74H10
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