On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
From MaRDI portal
Publication:3291869
DOI10.1002/sapm1961401220zbMath0106.10805OpenAlexW2317827848MaRDI QIDQ3291869
Publication date: 1961
Published in: Journal of Mathematics and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm1961401220
Related Items
Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods ⋮ Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise ⋮ Incomplete partial fractions for parallel evaluation of rational matrix functions ⋮ Simultaneous self-verified computation of exp(A) and \(\int_{0}^{1}\exp (As)ds\) ⋮ On the stability of discretizations ⋮ Implicit methods for diffusion-convection equations ⋮ Dispersive behaviour of high order finite element schemes for the one-way wave equation ⋮ A class ofA-stable methods ⋮ Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise ⋮ Talbot quadratures and rational approximations ⋮ The direct numerical integration of linear matrix differential equations using pade approximations ⋮ Uniform stability of a class of parabolic difference operators ⋮ Computing Enclosures for the Matrix Exponential ⋮ Implementation of a restarted Krylov subspace method for the evaluation of matrix functions ⋮ On Padé-type model order reduction of \(J\)-Hermitian linear dynamical systems ⋮ How high-precision calculations can stimulate mathematical research ⋮ On the use of rational iterative methods for solving large sparse linear systems ⋮ Properties of certain rational approximations toe −z ⋮ Approximation of exponential function of a matrix by continued fraction expansion ⋮ A class of rational approximations of the positive real axis - a survey ⋮ \(L_\infty\)-convergence of collocation and Galerkin approximations to linear two-point parabolic problems ⋮ Convergence of Padé approximants to \(e^{-z}\) on unbounded sets ⋮ On certain order constrained Chebyshev rational approximations ⋮ Runge-Kutta research in Trondheim ⋮ Unnamed Item ⋮ Rational approximations of trigonometric matrices with application to second-order systems of differential equations ⋮ Two-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations ⋮ Nonnegatively posed problems and completely monotonic functions ⋮ Padé approximations to the operator exponential ⋮ Rational approximations to matrix exponential for systems of stiff differential equations ⋮ Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems ⋮ A- and B-stability for Runge-Kutta methods - characterizations and equivalence ⋮ A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations ⋮ Numerical solution of Burgers' equation with factorized diagonal Padé approximation ⋮ Numerical methods for partial differential equations based on power series ⋮ Some applications of the Hermite matrix polynomials series expansions ⋮ An automatic multistep method for solving stiff initial value problems ⋮ Algebraic approximants and the numerical solution of parabolic equations ⋮ Exponentials of symmetric matrices through tridiagonal reductions ⋮ Convergence of matrix continued fractions ⋮ A class of multiderivative hybrid one-step methods ⋮ One-Step Piecewise Polynomial Multiple Collocation Methods for Initial Value Problems ⋮ Some recent advances in validated methods for IVPs for ODEs
This page was built for publication: On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations