Found 1,111 Documents (Results 1–100)
High-order block Toeplitz inner-bordering method for solving the Gelfand-Levitan-Marchenko equation. (English) Zbl 07899962
The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas. (English) Zbl 1540.39007
Incorporating the external zeros and poles of the integrand into Gauss-type quadrature rules. (English) Zbl 1542.65033
Reviewer: Adhemar Bultheel (Leuven)
Algorithm for solving the four-wave kinetic equation in problems of wave turbulence. (English) Zbl 07849588
An isoparametric finite element method for time-fractional parabolic equation on 2D curved domain. (English) Zbl 1541.65105
The set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense. (English) Zbl 1536.65031
Spectrally accurate numerical quadrature formulas for a class of algebraically singular periodic Hadamard finite part integrals by regularization. (English) Zbl 1535.41027
Reviewer: Martin D. Buhmann (Gießen)
Numerical analysis of the kinetic equation describing isotropic 4-wave interactions in non-linear physical systems. (English) Zbl 07827647
A numerical approach for the system of nonlinear variable-order fractional Volterra integral equations. (English) Zbl 1535.65319
Optimal difference formulas in the Sobolev space. (English. Russian original) Zbl 1533.65041
J. Math. Sci., New York 278, No. 4, 712-721 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 1, 167-177 (2022).
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
Gauss-type quadrature rules with respect to external zeros of the integrand. (English) Zbl 1534.65042
On approximation of the normal derivative of the single layer heat potential near the boundary of a two-dimensional domain. (Russian. English summary) Zbl 1531.65268
A sharp \(\alpha\)-robust \(L1\) scheme on graded meshes for two-dimensional time tempered fractional Fokker-Planck equation. (English) Zbl 1538.65279
Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives. (English) Zbl 07790567
MSC:
65D32
Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula. (English) Zbl 1531.65042
A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al. (English) Zbl 1520.65017
On an optimal quadrature formula in the sense of Sard in the Sobolev space \(L_2^{(2,0)}(0,1)\). (English) Zbl 1524.65108
Improved quadrature formula for a single-layer potential. (English. Russian original) Zbl 1531.65041
Comput. Math. Math. Phys. 63, No. 2, 187-201 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 2, 230-244 (2023).
Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions. (English) Zbl 1524.26063
Integral representations for higher-order Fréchet derivatives of matrix functions: quadrature algorithms and new results on the level-2 condition number. (English) Zbl 1505.65154
Modified HAM for solving linear system of Fredholm-Volterra integral equations. (English) Zbl 1533.65255
Construction of optimal quadrature formulas for Cauchy type singular integrals in the \(W_2^{(1,0)} (0, 1)\) space. (English) Zbl 1524.65102
Optimal quadrature formulas in the space \(\widetilde{W_2}^{(m,m-1)}\) of periodic functions. (English) Zbl 1524.65107
A hybrid collocation method for the computational study of multi-term time fractional partial differential equations. (English) Zbl 1504.65281
Exponential convergence of some recent numerical quadrature methods for Hadamard finite parts of singular integrals of periodic analytic functions. (English) Zbl 07618952
Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions. (English) Zbl 1517.65017
Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space. (English) Zbl 1502.65280
On uniform convergence of approximations of the double layer potential near the boundary of a two-dimensional domain. (Russian. English summary) Zbl 1511.65136
Estimates on some quadrature rules via weighted Hermite-Hadamard inequality. (English) Zbl 1513.65043
\(\text{PVTSI}^{(m)}\): a novel approach to computation of Hadamard finite parts of nonperiodic singular integrals. (English) Zbl 1510.65054
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087
Contour integrals of analytic functions given on a grid in the complex plane. (English) Zbl 1518.65024
Solving the Delsarte problem for 4-designs on the sphere \(\mathbb{S}^2 \). (Russian. English summary) Zbl 1485.05020
Optimal quadrature formulas in the space \(\widetilde{W}_2^{(1,0)}\) of periodic functions. (English) Zbl 1499.65075
Yudin-Hermite extremal problems for polynomials. (English. Russian original) Zbl 1489.42016
Math. Notes 110, No. 5, 799-805 (2021); translation from Mat. Zametki 110, No. 5, 789-795 (2021).
Reviewer: M. Abdessadek Saib (Tebessa)
Optimization of nodes of composite quadrature formulas in the presence of a boundary layer. (English) Zbl 1475.65012
MSC:
65D32
On the question of good conditionality of unsaturated quadrature formulas. (Russian. English summary) Zbl 1475.65011
MSC:
65D32
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
Numerical analysis of a self-similar turbulent flow in Bose-Einstein condensates. (English) Zbl 1476.35208
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 performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces. (English) Zbl 1480.46037
On approximation of definite integrals by compound quadrature formulas using derivatives. (Russian. English summary) Zbl 1474.65052
Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules. (English) Zbl 1470.65075
Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions. (English. Russian original) Zbl 1473.65023
Russ. Math. 65, No. 2, 75-80 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 86-92 (2021).
Formulas for approximate calculation of the Chebyshev coefficients. (English. Russian original) Zbl 1472.65022
Russ. Math. 65, No. 2, 69-74 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 2, 79-85 (2021).
Numerical continuation for fractional PDEs: sharp teeth and bloated snakes. (English) Zbl 1471.65138
Generalizing the trapezoidal rule in the complex plane. (English) Zbl 1490.65039
Reviewer: Josef Kofroň (Praha)
Numerical treatment of the generalized Love integral equation. (English) Zbl 1489.65170
Reviewer: Kai Diethelm (Schweinfurt)
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. (English) Zbl 1461.65026
A modified Stenger’s quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound. (English) Zbl 1540.65097
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. (English) Zbl 1459.65030
Application of optimal quadrature formulas for reconstruction of CT images. (English) Zbl 1460.65025
A truncated Clenshaw-Curtis formula approximates integrals over a semi-infinite interval. (English) Zbl 1460.65026
MSC:
65D32
PVTSI\(^{\boldmath(m)}\): A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals. arXiv:2102.06476
Preprint, arXiv:2102.06476 [math.NA] (2021).
On the convergence of the irradiation coefficient. (Russian. English summary) Zbl 07820950
The order of convergence of an optimal quadrature formula with derivative in the space \(W_2^{(2,1)}\). (English) Zbl 1499.65076
Optimal numerical integration on classes of smooth functions in several variables. (English) Zbl 1488.42105
An algebraic method for pricing financial instruments on post-crisis market. (English) Zbl 1471.91619
Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 839-856 (2020).
Optimal quadrature formulas for approximate solution of the Abel integral equation. (English) Zbl 1488.65057
Construction of optimal quadrature formulas with derivatives for Cauchy type singular integrals in the Sobolev space. (English) Zbl 1488.65051
Euler-Maclaurin type optimal formulas for numerical integration in Sobolev space. (English) Zbl 1474.65058
High order quadrature based iterative method for approximating the solution of nonlinear equations. (English) Zbl 1488.65118
Some weighted inequalities for higher-order partial derivatives in two dimensions and its applications. (English) Zbl 1451.26023
On the approximate solution of a class of weakly singular integral equations. (Russian. English summary) Zbl 1474.45075
Quadrature formula for the direct value of the normal derivative of the single layer potential. (English. Russian original) Zbl 1450.65028
Differ. Equ. 56, No. 9, 1237-1255 (2020); translation from Differ. Uravn. 56, No. 9, 1270-1288 (2020).
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
On an approximate solution of a class of surface singular integral equations of the first kind. (English) Zbl 1447.45005
Algebro-geometric aspects of the Christoffel-Darboux kernels for classical orthogonal polynomials. (English) Zbl 1433.42032
On an optimal quadrature formula for approximation of Fourier integrals in the space \(L_2^{( 1 )}\). (English) Zbl 1437.65011
Reviewer: Antonio López-Carmona (Granada)
On the quadrature rule of order six. (English) Zbl 1513.65044
MSC:
65D32
To the realization of the Gauss-Hermite approximate method for the Cauchy problem. (English) Zbl 1513.65229
The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegő type. (English) Zbl 1499.65091
An optimal quadrature formula with \(\sin x\) weight function in the Sobolev space. (English) Zbl 1488.65052
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