Found 40 Documents (Results 1–40)
An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line. (English) Zbl 07630321
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. (English) Zbl 1486.31004
Numer. Math. 150, No. 2, 299-371 (2022); correction ibid. 154, No. 1-2, 319-321 (2023).
A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line. (English) Zbl 1464.65290
An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function. (English) Zbl 1449.65364
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. (English) Zbl 1432.65103
Reviewer: Yang Yang (Wuxi)
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
Spectral collocation method for solving Fredholm integral equations on the half-line. (English) Zbl 1288.65190
A sinc quadrature method for the Urysohn integral equation. (English) Zbl 1321.65192
Reviewer: Alexander N. Tynda (Penza)
Solvability of a boundary integral equation on a polyhedron. (English. Russian original) Zbl 1273.35087
J. Math. Sci., New York 191, No. 2, 193-213 (2013); translation from Probl. Mat. Anal. 70, 85-103 (2013).
Representations and estimates for inverse operators in the harmonic potential theory for polyhedra. (English) Zbl 1252.35128
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 3, 229-258 (2012).
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity. (English) Zbl 1221.35190
A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics. (English) Zbl 1149.45002
Reviewer: V. Lakshmikantham (Melbourne/Florida)
Chebyshev’s approximation algorithms and applications. (English) Zbl 0985.65058
Reviewer: Mikhail Yu.Kokurin (Yoshkar-Ola)
Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method. (English) Zbl 0985.65057
Reviewer: Vladimir Gorbunov (Ul’yanovsk)
On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method. (English) Zbl 0812.65142
Reviewer: V.Kravchenko (Mexico)
On quadrature methods for the double layer potential equation over the boundary of a polyhedron. (English) Zbl 0791.65088
Reviewer: A.Rathsfeld (Berlin)
Global in time solutions to quasilinear telegraph equations involving operators with time delay. (English) Zbl 0752.45012
Reviewer: C.Constanda (Glasgow)
An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation. (English) Zbl 0725.65138
Reviewer: V.Suchánková-Marsiková (Praha)
Error estimate of approximate solution for a quasilinear parabolic integro-differential equation in the \(L_ p\)-space. (English) Zbl 0695.65087
Reviewer: H.Brunner
Finite element methods for parabolic and hyperbolic partial integro- differential equations. (English) Zbl 0657.65142
Reviewer: V.Kamen
Numerical solution of singular integral equations via initial value methods. (English) Zbl 0627.65138
Reviewer: O.Widlund
Recent developments in the numerical solution of singular integral equations. (English) Zbl 0607.65087
Reviewer: G.Vainikko
On multilevel iterative methods for integral equations of the second kind and related problems. (English) Zbl 0543.65094
A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations. (English) Zbl 0485.65087
On the quadrature methods for the numerical solution of singular integral equations. (English) Zbl 0479.65066
Finite-dimensional approximations of singular integrals and direct methods of solution of singular integral and integrodifferential equations. (English) Zbl 0476.65093
A remark on the application of closed and semi-closed quadrature rules to the direct numerical solution of singular integral equations. (English) Zbl 0473.65099
A new method for the numerical solution of singular integral equations appearing in crack and other elasticity problems. (English) Zbl 0462.73062
On the application of numerical integration rules to the solution of some singular integral equations. (English) Zbl 0446.65065
The second fundamental crack problem and the rigid line inclusion problem in plane elasticity. (English) Zbl 0417.73084
A method of numerical solution of Cauchy-type singular integral equations with generalized kernels and arbitrary complex singularities. (English) Zbl 0403.65058
Volterra integral equations. (English. Russian original) Zbl 0439.45001
J. Sov. Math. 12, 715-758 (1979); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 15, 131-198 (1977).
On an initial-value method for quickly solving Volterra integral equations: A review. (English) Zbl 0349.65065
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