scientific article
From MaRDI portal
Publication:4058060
zbMath0303.65079MaRDI QIDQ4058060
Publication date: 1972
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
General theory of numerical analysis in abstract spaces (65J05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear difference operators (47B39) Canonical models for contractions and nonselfadjoint linear operators (47A45)
Related Items (81)
Sufficient conditions for the stability of a CABARET approximation of multidimensional convection-diffusion equations on orthogonal computational grids ⋮ Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones ⋮ Stability of finite-difference problems with nonreflecting boundary conditions ⋮ Iterative domain decomposition for elliptic boundary value problems ⋮ Stability and convergence of a system of nonlinear difference equations ⋮ Numerical simulation of wave processes in inhomogeneous media with impedance boundaries ⋮ Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity ⋮ Boundary-value problems for the heat conduction equation with a fractional derivative in the boundary conditions. Difference methods for numerical realization of these problems ⋮ Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain ⋮ Theory of stability and regularization of difference schemes and its application to ill-posed problems of mathematical physics ⋮ Investigation of wave processes in inhomogeneous media with imperfect contact conditions ⋮ Existence of solutions of systems of nonlinear equations of Schrödinger and parabolic types ⋮ Alternating triangular schemes for convection-diffusion problems ⋮ Simulation of distributed systems with non-selfadjoint operator ⋮ Two-level schemes for the advection equation ⋮ Approximation of the eigenvalues of a singular Sturm-Liouville problem nonlinear in the parameter ⋮ Unconditionally stable schemes for convection-diffusion problems ⋮ Local correctness of a class of nonlinear operator-difference schemes ⋮ Practical convergent splittings and acceleration methods for non-Hermitian positive definite linear systems ⋮ Time step selection for the numerical solution of boundary value problems for parabolic equations ⋮ Analytical and numerical study of generalized Cauchy problems occurring in gas dynamics ⋮ Spectral bounds of the difference Laplace operator in non-rectangular regions ⋮ Stability in the right-hand side of nonlocal difference schemes ⋮ A finite-difference approximation of the improved concentrated capacity scheme ⋮ Boundary value problem for a first-order linear parabolic system ⋮ Three-level schemes of the alternating triangular method ⋮ Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations ⋮ Approximation in problems of position control of parabolic systems ⋮ Stability of a spline collocation difference scheme for a quasi-linear differential algebraic system of first-order partial differential equations ⋮ A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation ⋮ On an algorithm for solving parabolic and elliptic equations ⋮ Locally one-dimensional difference scheme for a fractional tracer transport equation ⋮ Three-level scheme for solving the radiation diffusion equation ⋮ Numerical solution of linear differential-algebraic systems of partial differential equations ⋮ On multioperators principle for constructing arbitrary-order difference schemes ⋮ Explicit schemes for parabolic and hyperbolic equations ⋮ Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles ⋮ Grid oscillations in finite-difference scheme and a method for their approximate analysis ⋮ Total approximation method for an equation describing droplet breakup and freezing in convective clouds ⋮ Incomplete iterative implicit schemes ⋮ Investigation and optimization of wave processes in inhomogeneous media with impedance boundary ⋮ Analysis of lumped approximations in the finite-element method for convection-diffusion problems ⋮ Numerical modeling and optimization of one-way wave processes in inhomogeneous media ⋮ Algebraic aspect of the discrete maximum principle ⋮ Some properties of difference schemes in one-dimensional gas dynamics ⋮ Multiplicative estimate of the norm of a function in \(\mathbb{C}\) in terms of the norms \(L_2,W_2^n\) and convergence of the difference methods for nonlinear evolution equations ⋮ Numerical solution of parabolic, second-order differential equations on a computer with parallel computations ⋮ Explicit schemes for parabolic equations ⋮ A stability criterion for a difference scheme in a nonlocal heat conduction problem ⋮ Some phenomenon of the powers of certain tridiagonal and asymmetric matrices ⋮ Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients ⋮ Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution ⋮ Stability of difference splitting schemes for convection diffusion equation ⋮ Conservative Finite-Difference Scheme and Two-Stage Iteration Process of its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse ⋮ A completely conservative difference scheme of gas dynamics in orthogonal curvilinear coordinates ⋮ Factorized schemes of second-order accuracy for numerically solving unsteady problems ⋮ Flux-splitting schemes for parabolic equations with mixed derivatives ⋮ On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations ⋮ Uniform stability of a one-parameter family of difference schemes ⋮ Stability of an operator-difference scheme for thermoelasticity problems ⋮ Boundary value problems for a pseudoparabolic equation with the Caputo fractional derivative ⋮ Three-level schemes for the advection equation ⋮ Numerical solution of a two-dimensional hyperbolic transmission problem ⋮ Mimetic finite difference method ⋮ Explicitly solvable optimal discrete models with controlled disbalance of the total mechanical energy for dynamical problems of linear elasticity ⋮ Numerical solution by the quasi-reversibility method of unstable problems for the first-order evolution equation ⋮ A method for approximate analysis of Courant stability of central-difference schemes with boundary conditions ⋮ Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary ⋮ SM Stability for Time-Dependent Problems ⋮ Numerical methods for a one-dimensional non-linear Biot's model ⋮ Accuracy of the ``cross difference scheme for the system of acoustic equations ⋮ Difference schemes for nonlinear equations of Schrödinger and parabolic type ⋮ Nonlocal Boundary Value Problems for Sobolev-Type Fractional Equations and Grid Methods for Solving Them ⋮ Analytical and numerical investigation of the spectra of three-point difference operators ⋮ Stability of a family of weighted finite-difference schemes ⋮ Analysis and formation of acoustic fields in inhomogeneous waveguides ⋮ Jump-type processes and their applications in quantum mechanics ⋮ Some necessary and sufficient conditions for stability of three-layer difference schemes ⋮ Interpolation finite difference schemes on grids locally refined in time ⋮ Stability criteria for non-self-adjoint finite differences schemes in the subspace ⋮ On the convergence of difference schemes for fractional differential equations with Robin boundary conditions
This page was built for publication:
