Temat: telegraph equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Generalized telegraph equation and the Sova-Kurtz version of the Trotter-Kato theorem
Autorzy:: Bobrowski, Adam
Powiązania:: https://bibliotekanauki.pl/articles/1311125.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: telegraph equation
Trotter-Kato theorem
extended limit of operators
Opis:: The Sova-Kurtz approximation theorem for semigroups is applied to prove convergence of solutions of the telegraph equation with small parameter. Convergence of the solutions of the diffusion equation with varying boundary conditions is also considered.
Źródło:: Annales Polonici Mathematici; 1996, 64, 1; 37-45
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Diffusion limit for the phenomenon of random genetic drift
Autorzy:: Marciniak, Anna
Powiązania:: https://bibliotekanauki.pl/articles/1208221.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: genetic drift
telegraph equations
singularly perturbed systems
diffusion equation
random walk
Opis:: The paper deals with mathematical modelling of population genetics processes. The formulated model describes the random genetic drift. The fluctuations of gene frequency in consecutive generations are described in terms of a random walk. The position of a moving particle is interpreted as the state of the population expressed as the frequency of appearance of a specific gene. This leads to a continuous model on the microscopic level in the form of two first order differential equations (known as the telegraph equations). Applying the modified Chapman-Enskog procedure we show the transition from this system to a macroscopic model which is a diffusion type equation. Finally, the error of approximation is estimated.
Źródło:: Applicationes Mathematicae; 2000, 27, 1; 81-101
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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