## Found 520 Documents (Results 1–100)

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### Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace’s equation: better pseudo-boundaries. (English)Zbl 07490870

MSC:  65N80 65N12 35J05
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### Laplace Green’s functions for infinite ground planes with local roughness. (English)Zbl 07516432

MSC:  35Axx 35Jxx 65Yxx
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### Geometric methods in partial differential equations. (English)Zbl 1479.14070

MSC:  14N05 14H05 35C15
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MSC:  74R10
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MSC:  65N30
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### A family of cylindrical elements. (English)Zbl 07317957

MSC:  82Dxx 82Cxx 65Nxx
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### Selection of a Hele-Shaw bubble via exponential asymptotics. (English)Zbl 1430.76153

MSC:  76D27 30E15 35R37
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### On the difference method for approximation of second order derivatives of a solution of Laplace’s equation in a rectangular parallelepiped. (English)Zbl 07534312

MSC:  65M06 65M12 65N06
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### A unified 2D/3D large-scale software environment for nonlinear inverse problems. (English)Zbl 1471.65179

MSC:  65N21 65Y15
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### Bôcher-type theorem on $$n$$-dimensional manifolds with conical metric. (English)Zbl 1429.58029

MSC:  58J05 35J15
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### Weighted $$L^p$$ boundary value problems for Laplace’s equation on (semi-)convex domains. (English)Zbl 1418.35122

MSC:  35J25 35J05 42B25
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### Numerical method for solving an inverse problem for Laplace’s equation in a domain with an unknown inner boundary. (English. Russian original)Zbl 1422.65357

Comput. Math. Math. Phys. 59, No. 1, 59-65 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 63-70 (2019).
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### The direct interpolation boundary element method applied to smoothly inhomogeneous Laplace’s problems. (English)Zbl 1464.65227

MSC:  65N38 35J05
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### On the use of approximate fundamental solutions: connections with the method of fundamental solutions and the method of regularized stokeslets. (English)Zbl 1464.76100

MSC:  76M15 65N80
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### On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped. (English)Zbl 07461934

MSC:  65M06 65M12 65M22
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### 14-point difference operator for the approximation of the first derivatives of a solution of Laplace’s equation in a rectangular parallelepiped. (English)Zbl 07461924

MSC:  65M06 65M12 65M22
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MSC:  78A30
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### Fourier analysis and partial differential equations. 5th edition. (Análise de Fourier e equações diferenciais parciais.) (Portuguese)Zbl 1412.42001

Projeto Euclides. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0428-3). viii, 276 p. (2018).
MSC:  42-01 42A38 35A22

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### Modeling the shape of boundary using NURBS curves directly in modified boundary integral equations for Laplace’s equation. (English)Zbl 1432.65020

MSC:  65D07 65N38 65D17
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### A Laplacian characterization of phytoplankton shape. (English)Zbl 1392.92052

MSC:  92C99 35J05
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### Asymptotic analysis for close evaluation of layer potentials. (English)Zbl 1380.65396

MSC:  65N38 35J05 35J25
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### A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. (English)Zbl 1380.65395

MSC:  65N38 35J05 35J65
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### Numerical identification of Robin coefficient by iterative method. (English)Zbl 1377.65123

MSC:  65M32 35J05 65M60
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### Unified construction of Green’s functions for Poisson’s equation in inhomogeneous media with diffuse interfaces. (English)Zbl 1457.78005

MSC:  78A30 65N80 35J05
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### Steklov approximations of harmonic boundary value problems on planar regions. (English)Zbl 1366.65099

MSC:  65N15 35J05 65N35
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### On the numerical solution of a multilevel nonlocal problem. (English)Zbl 1359.65235

MSC:  65N06 65N15 35J05
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### On convergence and inherent oscillations within computational methods employing fictitious sources. (English)Zbl 1443.65429

MSC:  65N80 65N12 78A25
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MSC:  76M15
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MSC:  65N35
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MSC:  65N21
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### Contour integral solution of elliptic PDEs in cylindrical domains. (English)Zbl 1327.65042

MSC:  65D30 65F60 65N35
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### A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners. (English)Zbl 1325.65162

Reviewer: Ali Filiz (Aydin)
MSC:  65N38 65N12 35J05
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### Fourier analysis and partial differential equations. 4th edition, 7th printing. (Análise de Fourier e equações diferenciais parciais.) (Portuguese)Zbl 1412.42002

Projeto Euclides. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0120-6). 274 p. (2014).
MSC:  42-01 42A38 35A22

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### Stability properties in some classes of second order partial differential equations. (English)Zbl 1307.35096

MSC:  35J05 35B35
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### Approximation on the hexagonal grid of the Dirichlet problem for Laplace’s equation. (English)Zbl 1308.65182

MSC:  65N06 35J05 65N50
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### An $$\mathbb{R}$$-linear conjugation problem for a plane two-component heterogeneous structure with an array of periodically distributed sinks/sources. (English)Zbl 1351.76281

MSC:  76S05 35Q35
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### Difference scheme for solution of the Dirichlet’s problem. (English)Zbl 1314.65138

MSC:  65N06 35J05 65N15

### The spectral Dirichlet-Neumann map for Laplace’s equation in a convex polygon. (English)Zbl 1296.35046

MSC:  35J25 30H99 45Q05
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MSC:  35J05
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### A robust and accurate solver of Laplace’s equation with general boundary conditions on general domains in the plane. (English)Zbl 1274.65310

MSC:  65N38 65F08 35J05
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### A boundary integral equation with the generalized Neumann kernel for a certain class of mixed boundary value problem. (English)Zbl 1272.35083

MSC:  35J25 30E25
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MSC:  65M70
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### Approximate solution to a singular, plane mixed boundary-value problem for Laplace’s equation in a curved rectangle. (English)Zbl 1261.65122

MSC:  65N35 35J05
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### About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder. (Russian, English)Zbl 1249.35139

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 1, 97-104 (2012); translation in Comput. Math. Math. Phys. 52, No. 1, 90-97 (2012).
MSC:  35K20 65N38
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### Approximate analytic solution of the Dirichlet problems for Laplace’s equation in planar domains by a perturbation method. (English)Zbl 1238.65118

MSC:  65N99 35A01
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### On the Nyström discretization of integral equations on planar curves with corners. (English)Zbl 1269.65131

MSC:  65N38 35J05 65N12
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### Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods. (English)Zbl 1259.65166

MSC:  65N25 65N99
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### Numerical methods for determining the inhomogeneity boundary in a boundary value problem for Laplace’s equation in a piecewise homogeneous medium. (Russian, English)Zbl 1249.35063

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 8, 1476-1489 (2011); translation in Comput. Math. Math. Phys. 51, No. 8, 1377-1390 (2011).
MSC:  35J05
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### Universal series induced by approximate identities and some relevant applications. (English)Zbl 1231.35038

MSC:  35C10 35J05 35K05
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### An adaptive fast direct solver for boundary integral equations in two dimensions. (English)Zbl 1227.65118

MSC:  65N38 35J05 65Y20
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### Advanced quadrature methods and splitting extrapolation algorithms for first kind boundary integral equations of Laplace’s equation with discontinuity solutions. (English)Zbl 1244.65201

MSC:  65N38 65N99
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### Application of a 14-point averaging operator in the grid method. (Russian, English)Zbl 1224.65241

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 12, 2134-2143 (2010); translation in Comput. Math. Math. Phys. 50, No. 12, 2023-2032 (2010).
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### Numerical method for determining the inhomogeneity boundary in the Dirichlet problem for Laplace’s equation in a piecewise homogeneous medium. (Russian, English)Zbl 1224.35093

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 8, 1462-1470 (2010); translation in Comput. Math., Math. Phys. 50, No. 8, 1391-1398 (2010).
MSC:  35J25
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### Universal quadratures for boundary integral equations on two-dimensional domains with corners. (English)Zbl 1201.65213

MSC:  65N38 35J05
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### The under-determined version of the MFS: taking more sources than collocation points. (English)Zbl 1196.65187

MSC:  65N80 65N35 35J05
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### The extended-domain-eigenfunction method for solving elliptic boundary value problems with annular domains. (English)Zbl 1205.35049

MSC:  35J05 35J25 65N99
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### Efficient discretization of Laplace boundary integral equations on polygonal domains. (English)Zbl 1185.65219

MSC:  65N38 35J05 65D32
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MSC:  65N35
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### Solution of boundary value problems for Laplace’s equation in a piecewise homogeneous plane with a parabolic crack (screen). (Russian, English)Zbl 1224.35094

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 11, 1931-1936 (2009); translation in Comput. Math., Math. Phys. 49, No. 11, 1847-1852 (2009).
MSC:  35J25 86A15
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MSC:  78A55
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### On a nonlinear boundary integral equation. (English)Zbl 1188.65161

MSC:  65N38 35J05 35J65

MSC:  65N38
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### Convergence analysis of a global optimization algorithm using stochastic differential equations. (English)Zbl 1192.90147

MSC:  90C26 90C15 60H10
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