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On proving stability of multidimensional difference schemes

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Publication:1219670
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DOI10.1016/0024-3795(75)90024-5zbMath0312.65067OpenAlexW2045146442WikidataQ127203653 ScholiaQ127203653MaRDI QIDQ1219670

Saul S. Abarbanel, David Gottlieb

Publication date: 1975

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(75)90024-5



Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic systems (35L45)


Related Items (3)

On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions ⋮ Symmetric hyperbolic difference schemes and matrix problems ⋮ Complex symmetric matrices with strongly stable iterates



Cites Work

  • Accurate partial difference methods. II: Non-linear problems
  • Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems
  • Difference schemes for hyperbolic equations with high order of accuracy


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