Lösung des Dirichletproblems und Konvergenz der Differenzenapproximation für elliptische Differentialgleichungen zweiter Ordnung

DOI10.1007/BF01187237zbMath0253.35034OpenAlexW2067769375MaRDI QIDQ2557842

Karl Hainer

Publication date: 1973

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171889

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

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• Über die Differenzenapproximation des Dirichletproblems für eine lineare elliptische Differentialgleichung zweiter Ordnung
• Elliptische Differenzenoperatoren unter Dirichlet-Randbedingungen
• Elliptic difference equations and interior regularity
• Discrete maximum principle for finite-difference operators
• On non-negative difference analogues of elliptic differential equations
• Zur Theorie der elliptischen Differentialgleichungen. 2
• On a Discrete Maximum Principle
• Über die Konvergenz von Differenzenapproximationen elliptischer Differentialgleichungen mit Hilfe des Maximumprinzips
• Pointwise Bounds for Discrete Green’s Functions
• Convergence Estimates for Essentially Positive Type Discrete Dirichlet Problems
• On the Approximation of Linear Elliptic Differential Equations by Difference Equations with Positive Coefficients

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