On the iterative inclusion of solutions in characteristic initial-value problems with hyperbolic differential equation \(z_{st}=f(s,t,z)\)

DOI10.1007/BF02242789zbMath0444.65060OpenAlexW403303179WikidataQ115392668 ScholiaQ115392668MaRDI QIDQ1144914

H. Bauch

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242789

zbMATH Keywords

characteristic initial-value problemsinterval-analytical methodsiterative inclusion of solutionsspeeding up convergence

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Konstruktion und Durchführung von Iterationsverfahren höherer Ordnung
• On the iterative inclusion of solutions in initial-value problems for ordinary differential equations
• Stets konvergente Verfahren höherer Ordnung zur Berechnung von reellen Nullstellen
• Zur Lösungseinschließung bei Anfangswertaufgaben gewöhnlicher Differentialgleichungen nach der Defektmethode
• Zur intervallanalytischen Lösungseinschließung bei charakteristischen Anfangswertproblemen mit hyperbolischer Differentialgleichungzst = f(s, t, z)

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