Finite Difference Schemes for Differential Equations

DOI10.2307/2003293zbMath0122.12301OpenAlexW4240262090MaRDI QIDQ5733871

Milton E. Rose

Publication date: 1964

Full work available at URL: https://doi.org/10.2307/2003293

zbMATH Keywords

numerical analysis

Related Items (14)

An almost monotone approximation for a nonlinear two-point boundary value problem ⋮ Minimising Truncation Error in Finite Difference Approximations to Ordinary Differential Equations ⋮ Numerical methods for flows through porous media. II ⋮ Elliptic Spline Functions and the Rayleigh-Ritz-Galerkin Method ⋮ Weak-element approximations to elliptic differential equations ⋮ Das Differenzenverfahren für singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen ⋮ Mixed-hybrid finite element approximations of second-order elliptic boundary value problems. Part 2: Weak-hybrid methods ⋮ Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem ⋮ An \(O(h^ 2)\) method for a non-smooth boundary value problem ⋮ On higher-order numerical methods for nonlinear two-point boundary value problems ⋮ The Galerkin method for nonselfadjoint differential equations ⋮ A generalized spline method for singular boundary value problems of ordinary differential equations ⋮ Accurate estimates for the fundamental solutions of discrete boundary value problems ⋮ Discrete variational Green's function

Cites Work

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• A priori estimates for the solutions of difference approximations to parabolic partial differential equations
• Alternating direction and semi-explicit difference methods for parabolic partial differential equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Implicit Alternating Direction Methods
• Energy Inequalities for the Solution of Differential Equations

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