Numerical approximation of first order partial differential equations with deviated variables

• Autorzy: Baranowska A. , Kamont Z.
• Języki publikacji: EN

Abstrakty

EN

Classical solutions of the local Cauchy problem on the Haar pyramid are approximated in the paper by solutions of suitable quasilinear systems of difference equations. The proof of the stability of the difference problem is based on a comparison technique with nonlinear estimates of the Perron type. This new approach to the numerical solving of nonlinear equations with deviated variables is generated by a quasilinearization method for initial problems. Numerical examples are given.

Słowa kluczowe

EN

initial problems; stability and convergence; error estimates; bicharacteristics

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(1)
• Strony: 1--31
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Baranowska A.

• Department of Mathematics, Technical University of Gdańsk, Narutowicz Street 11-12, 80-952 Gdańsk, Poland

autor

Kamont Z.

• Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland

Bibliografia

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