scientific article

No author found.

Publication date: 1987

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

interpolation convergence numerical integration reliability textbook efficiency Monte Carlo method numerical differentiation fast Fourier transformations accuracy of results automatic step-size correction

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical linear algebra (65Fxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods for integral equations, integral transforms (65Rxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Related Items (94)

Approximate solution of a parabolic equation with the use of a rational approximation to the operator exponential ⋮ A numerical method for solving systems of nonlinear equations ⋮ Numerical method to solve the Cauchy problem with previous history ⋮ Lagrange interpolation and the Newton-Cotes formulas on a Bakhvalov mesh in the presence of a boundary layer ⋮ Elastoplastic models to describe experimental data on the spallation fracture under impact of plates ⋮ A method for solving differential equations via approximation theory ⋮ Rapid ``algebraic Fourier transforms on uniformly distributed meshes ⋮ Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component ⋮ On the polyhedral method of solving problems of control strategy synthesis ⋮ Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method ⋮ On a new method for obtaining a guaranteed error estimate for Numerov’s method using ellipsoids ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Finite-difference method for the stabilization of the solution of the transport equation for an unstable difference scheme ⋮ The distance between fractional Brownian motion and the subspace of martingales with “similar” kernels ⋮ A regularized method for solving constrained pseudoinverse problems ⋮ Quadrature formulas with exponential convergence and calculation of the Fermi-Dirac integrals ⋮ On the difference method for approximation of second order derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations ⋮ A modification of the least-squares method in the identification problem for elastic laminated composites ⋮ On one method for the numerical solution of a system of parabolic equations ⋮ Redistribution of finite elastic strains after the formation of inclusions. Approximate analytical solution ⋮ Non-polynomial interpolation of functions with large gradients and its application ⋮ To the theory of optimal splines ⋮ On the solvability and numerical methods for solution of linear integro-algebraic equations ⋮ Cubature formulas for a two-variable function with boundary-layer components ⋮ Difference schemes for solving the Cauchy problem for a second-order operator differential equation ⋮ Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods ⋮ Application of the multipole method to direct and inverse problems for the Grad-Shafranov equation with a nonlocal condition ⋮ Three-dimensional simulation of the runup of nonlinear surface gravity waves ⋮ Приближенное интегрирование обыкновенных дифференциальных уравнений методом рядов Чебышeва с контролем точности ⋮ Improved forms of iterative methods for systems of linear algebraic equations ⋮ On asymptotic contractions ⋮ Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points ⋮ Cubature formulas for two-variable functions with large gradients in the boundary layers ⋮ Unnamed Item ⋮ The method of harmonic mapping of regions with a notch ⋮ Unnamed Item ⋮ ОБ ИНТЕРПОЛЯЦИИ ФУНКЦИЙ МНОГИХ ПЕРЕМЕННЫХ ⋮ Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects ⋮ Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions ⋮ Defining systems and Newton-like methods for finding singular solutions to nonlinear boundary value problems ⋮ On one method for calculating the nodes and weights of the Gauss-Christoffel quadratures ⋮ A finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functions ⋮ Analysis of defects and harmonic grid generation in domains with angles and cutouts ⋮ Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side ⋮ Automatic step size and order control in implicit one-step extrapolation methods ⋮ Refined-mesh interpolation method for functions with a boundary-layer component ⋮ Two-end controllability of elastic vibrations of systems with distributed and lumped parameters ⋮ Towards a higher degree \(F\)-transform ⋮ A cubature formula for periodic functions ⋮ On the scattering of electromagnetic waves by cylindrical bodies with non-coordinate boundaries ⋮ Projection of the Khokhlov-Zabolotskaya equation on the axis of wave beam as a model of nonlinear diffraction ⋮ Direct and converse theorems for iterative methods of solving irregular operator equations and finite difference methods for solving ill-posed Cauchy problems ⋮ Testing a new conservative method for solving the Cauchy problem for Hamiltonian systems on test problems ⋮ Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma ⋮ Unnamed Item ⋮ A NEW HYBRID ENCRYPTION SCHEME ⋮ F-TRANSFORM FOR NUMERICAL SOLUTION OF TWO-POINT BOUNDARY VALUE PROBLEM ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems ⋮ Ultra-low risk assessment under the confirmed compliance of automatic aircraft landing characteristics with airworthiness requirements ⋮ Semi-Lagrangian difference approximations with different stability requirements ⋮ A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle ⋮ Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders ⋮ Solutions to reactor system static optimization problems by simulation and control theory methods ⋮ To the theory of asymptotically stable second-order accurate two-stage scheme for an inhomogeneous parabolic initial-boundary value problem ⋮ A novel approach to construct the adjoint problem for a first-order functional integro-differential equation with general nonlocal condition ⋮ On a problem of the constructive theory of harmonic mappings ⋮ On discrete analogues of nonlinear implicit differential equations ⋮ Application of the theory of reversible discontinuities to the investigation of equations describing waves in tubes with elastic walls ⋮ On a continuous third-order method for monotone operator equations in Hilbert space ⋮ Examples of parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points ⋮ Formulas for approximate calculation of the Chebyshev coefficients ⋮ Acceleration of the process of entering stationary mode for solutions of a linearized system of viscous gas dynamics. II ⋮ Charged ball method for solving some computational geometry problems ⋮ Quasi-one-dimensional flow of a fluid with anisotropic viscosity in a pulsating vessel ⋮ Unnamed Item ⋮ Fast expansion method for evaluating definite integrals with a variable upper limit and a composite or implicitly defined integrand ⋮ Optimization of nodes of composite quadrature formulas in the presence of a boundary layer ⋮ Analytical solution for the cavitating flow over a wedge. II ⋮ Asymptotics of the Riemann-Hilbert problem for the Somov model of magnetic reconnection of long shock waves ⋮ What Monte Carlo models can do and cannot do efficiently? ⋮ Acceleration of transition to stationary mode for solutions to a system of viscous gas dynamics ⋮ On approximation of definite integrals by compound quadrature formulas using derivatives ⋮ Numerical-analytical method for analyzing the behavior of a dynamical system using incorrect observations without state space extension ⋮ A note on composite concave quadratic programming ⋮ SPECIAL SPLINES OF EXPONENTIAL TYPE FOR THE SOLUTIONS OF MASS TRANSFER PROBLEMS IN MULTILAYER DOMAINS ⋮ On the Riesz constants for systems of integer translates ⋮ Unnamed Item ⋮ 14-point difference operator for the approximation of the first derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped ⋮ Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form ⋮ On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance ⋮ On efficient randomized algorithms for finding the PageRank vector ⋮ Transformation of sine-Gordon solitons in models with variable coefficients and damping

This page was built for publication: