Found 428 Documents (Results 1–100)
High-order block Toeplitz inner-bordering method for solving the Gelfand-Levitan-Marchenko equation. (English) Zbl 07899962
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms. (English) Zbl 07899929
An isoparametric finite element method for time-fractional parabolic equation on 2D curved domain. (English) Zbl 1541.65105
Diffraction of sound waves on an inhomogeneous thick-walled elastic cylindrical shell of finite length. (Russian. English summary) Zbl 1543.76099
On one semi-analytical approximation of the normal derivative of the simple layer potential near the boundary of a two-dimensional domain. (Russian. English summary) Zbl 1535.65035
Frictional sliding of cylindrical punch on gradient nanostructured material coating. (English) Zbl 1533.74059
A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations. (English) Zbl 1538.65604
Modified HAM for solving linear system of Fredholm-Volterra integral equations. (English) Zbl 1533.65255
Application of number-theoretic grids in problems of sound diffraction by elastic bodies. (Russian. English summary) Zbl 1522.76079
Fitted operator method over Gaussian quadrature formula for parabolic singularly perturbed convection-diffusion problem. (Russian. English summary) Zbl 07668680
On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations. (English) Zbl 1511.65148
On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain. (Russian. English summary) Zbl 1511.65136
Numerical solution of two-point nonlinear boundary value problems via Legendre-Picard iteration method. (English) Zbl 1540.65234
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation. (English) Zbl 1504.65219
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087
On a method based on Bernstein operators for \(2D\) nonlinear Fredholm-Hammerstein integral equations. (English) Zbl 1498.65227
Thermo-viscoelastic interaction under dual-phase-lag model with memory-dependent derivative. (English) Zbl 1492.74022
About application of number-theoretic grids in problems of acoustics. (Russian. English summary) Zbl 1485.76069
Hypersingular integral equation for triple circular arc cracks in an elastic half-plane. (English) Zbl 1485.74082
A parallel-in-time algorithm for high-order BDF methods for diffusion and subdiffusion equations. (English) Zbl 1491.65084
A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules. (English) Zbl 1470.65217
Effective numerical technique applied for Burgers’ equation of \((1 + 1)\)-, \((2 + 1)\)-dimensional, and coupled forms. (English) Zbl 1501.65043
Accuracy-optimal quadrature formulas for calculating the Bessel transforms for certain classes of sub-integral functions. (English. Ukrainian original) Zbl 1473.65024
Cybern. Syst. Anal. 57, No. 2, 238-251 (2021); translation from Kibern. Sist. Anal. 57, No. 2, 81-95 (2021).
Numerical treatment of the generalized Love integral equation. (English) Zbl 1489.65170
Reviewer: Kai Diethelm (Schweinfurt)
Application of optimal quadrature formulas for reconstruction of CT images. (English) Zbl 1460.65025
The order of convergence of an optimal quadrature formula with derivative in the space \(W_2^{(2,1)}\). (English) Zbl 1499.65076
Optimal quadrature formulas for approximate solution of the Abel integral equation. (English) Zbl 1488.65057
High order quadrature based iterative method for approximating the solution of nonlinear equations. (English) Zbl 1488.65118
Jacobi-Picard iteration method for the numerical solution of nonlinear initial value problems. (English) Zbl 1452.65121
Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation. (English) Zbl 1446.65136
Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model. (English) Zbl 1436.65162
General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution. (English) Zbl 1418.65198
A numerical analysis of a type of cubic delay integral equation. (Chinese. English summary) Zbl 1438.65350
MSC:
65R20
Numerical solution of high-order Volterra-Fredholm integro-differential equations by using Legendre collocation method. (English) Zbl 1427.65425
Approximate solution for linear integro-differential equations of order one by Legendre polynomials. (English) Zbl 1415.65286
Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations. (English) Zbl 1405.65166
Justification of a quadrature method for an integral equation to the external Neumann problem for the Helmholtz equation. (English) Zbl 1402.45003
Convergence analysis for fractional integral and differential equation with nonlinear delay. (Chinese. English summary) Zbl 1413.65297
Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations. (English) Zbl 1372.65346
Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems. (English) Zbl 1381.65048
Quadrature finite element method for elliptic eigenvalue problems. (English) Zbl 1379.65086
Reviewer: Abdallah Bradji (Annaba)
A high order method for the approximation of integrals over implicitly defined hypersurfaces. (English) Zbl 1377.65033
A numerical method for the solution of exterior Neumann problems for the Laplace equation in domains with corners. (English) Zbl 1368.65246
A Nyström method for a class of Fredholm integral equations on the real semiaxis. (English) Zbl 1365.65285
Evaluation of finite part integrals using a regularization technique that decreases instability. (English) Zbl 1358.41026
An isogeometric boundary element method using adaptive integral method for 3D potential problems. (English) Zbl 1360.65291
Effective approximation method for solving linear Fredholm-Volterra integral equations. (English) Zbl 1360.65304
Fast predictor-corrector approach for the tempered fractional differential equations. (English) Zbl 1364.65142
Reviewer: Ivan Secrieru (Chişinău)
Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with \(n\) variables. (English) Zbl 1410.65189
MSC:
65H10
Improved finite integration method for partial differential equations. (English) Zbl 1403.65264
MSC:
65N99
Multidimensional inverse problem with Goursat type conditions. (Russian. English summary) Zbl 1364.65296
Numerical solution of two-dimensional nonlinear integral equations via quadrature rules and iterative method. (English) Zbl 1383.65158
Reviewer: Temur A. Jangveladze (Tbilisi)
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. (English) Zbl 1348.65141
Numerical solutions for weakly singular Volterra integral equations using Chebyshev and Legendre pseudo-spectral Galerkin methods. (English) Zbl 1346.65078
Reviewer: Josef Kofroň (Praha)
On a corrected Fejér quadrature formula of the second kind. (English) Zbl 1339.65036
Reviewer: Manfred Tasche (Rostock)
Numerical analysis with algorithms and programming. (English) Zbl 1359.65002
Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016).
Reviewer: Hang Lau (Montréal)
MSC:
65-01
68N15
65Y15
65H05
65H10
65D05
65D07
65D25
65D32
65B15
65F05
65F10
65L06
65L10
65L12
65L60
65F15
65D10
65M06
35K20
35L20
65N06
35J05
65N30
Numerical solution of two-dimensional nonlinear Hammerstein fuzzy integral equations based on optimal fuzzy quadrature formula. (English) Zbl 1329.65322
Fuzzy mathematics model and its numerical method of stability analysis on rock slope of opencast metal mine. (English) Zbl 1443.86023
Hyperbolic zeta function of lattice over quadratic field. (Russian. English summary) Zbl 1437.11133
About the modern problems of the theory of hyperbolic zeta-functions of lattices. (Russian. English summary) Zbl 1439.11233
MSC:
11M41
A four-stage fourth-order implicit Runge-Kutta method based on Legendre polynomials approximation. (Chinese. English summary) Zbl 1340.65141
On the instability of symmetric formulas for numerical differentiation and integration. (English. Russian original) Zbl 1325.65036
Comput. Math. Math. Phys. 55, No. 6, 917-921 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 928-932 (2015).
Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of fractional integro-differential equations. (English) Zbl 1306.65294
Solution of a class of integral equations with fixed singularities in the kernel by the mechanical quadrature method. (Russian. English summary) Zbl 1354.65273
Optimal quadrature formula in the sense of Sard in \(K_2(P_3)\) space. (English) Zbl 1349.65099
Reviewer: Marija Stanić (Kragujevac)
MSC:
65D32
Exponentially convergent method for the final value problem for the first order differential equation in Banach space. (English) Zbl 1340.65143
On the error estimation of the eigenvalues of some boundary value problems. (English) Zbl 1434.65099
Features of behavior of numerical methods for solving Volterra integral equations of the second kind. (Russian, English) Zbl 1313.65330
Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 496-502 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 505-511 (2014).
On spherical harmonics based numerical quadrature over the surface of a sphere. (English) Zbl 1307.65030
Remarks on Hilbert identities, isometric embeddings, and invariant cubature. (English) Zbl 1310.65028
St. Petersbg. Math. J. 25, No. 4, 615-646 (2014) and Algebra Anal. 25, No. 4, 139-181 (2013).
A simple technique for calculation of numerical integration errors for physically meaningful functions. (English) Zbl 1302.65066
A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains. (English) Zbl 1311.65163
Reviewer: Alexander N. Tynda (Penza)
On the solution of the integro-differential equation with an integral boundary condition. (English) Zbl 1297.65206
Reviewer: Kai Diethelm (Braunschweig)
A new construction of quadrature formulas for Cauchy singular integral. (English) Zbl 1292.65029
Reviewer: Manfred Tasche (Rostock)
Finite Fourier transforms computed by a modified Filon-Euler-Maclaurin method. (English) Zbl 1303.65115
An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics. (English) Zbl 1279.65143
Nonlinear stability and convergence of two-step Runge-Kutta methods for Volterra delay integro-differential equations. (English) Zbl 1275.65097
On the stability of the Nyström method for the Muskhelishvili equation on contours with corners. (English) Zbl 1277.65113
Reviewer: Kai Diethelm (Braunschweig)
Summation-by-parts operators and high-order quadrature. (English) Zbl 1263.65025
Reviewer: Ana-Maria Acu (Sibiu)
Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations. (English) Zbl 1264.65218
Reviewer: Alexandru Mihai Bica (Oradea)
Numerical solutions of the Kuramoto-Sivashinsky equation by the cosine expansion-based differential quadrature method. (Chinese. English summary) Zbl 1265.65216
A direct solver with \(O(N)\) complexity for integral equations on one-dimensional domains. (English) Zbl 1262.65198
Reviewer: Ivan Secrieru (Chişinău)
Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation. (English) Zbl 1259.65151
Reviewer: Gisbert Stoyan (Budapest)
Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind. (English) Zbl 1260.65111
Reviewer: Ivan Secrieru (Chişinău)
A block by block method with Romberg quadrature for the system of Urysohn type Volterra integral equations. (English) Zbl 1252.65211
Reviewer: Alexandru Mihai Bica (Oradea)
An exact order of discrepancy of the Smolyak grid and some general conclusions in the theory of numerical integration. (English) Zbl 1251.65039
Reviewer: Kai Diethelm (Braunschweig)
Rational interpolation and approximate solution of integral equations. (English. Russian original) Zbl 1247.65170
Differ. Equ. 48, No. 2, 275-282 (2012); translation from Differ. Uravn. 48, No. 2, 266-273 (2012).
Reviewer: Alexandru Mihai Bica (Oradea)
Spherical harmonics and approximations on the unit sphere. An introduction. (English) Zbl 1254.41015
Lecture Notes in Mathematics 2044. Berlin: Springer (ISBN 978-3-642-25982-1/pbk; 978-3-642-25983-8/ebook). ix, 244 p. (2012).
Reviewer: Vladimir L. Makarov (Kyïv)
Methods for Laplace transform inversion. (English. Russian original) Zbl 1255.65230
Vestn. St. Petersbg. Univ., Math. 44, No. 3, 214-222 (2011); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2011, No. 3, 55-64 (2011).
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