Cases when the use of the analytic method for solving differential equations is better than the use of numerical ones
K. Orlov (1980)
Matematički Vesnik
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Displaying similar documents to “On the analytical and numerical treatment of a class of PDE's with the application to some two-valley semiconductor.”
Cases when the use of the analytic method for solving differential equations is better than the use of numerical ones
The numerical method of solving ordinary differential equations with the Cauchy initial condition
Wiesław W. Solak (1973)
Annales Polonici Mathematici
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The best argument for the parametric continuation of solutions of differential-algebraic equations.
Alferiev, V., Kuznetsov, E. (2005)
Lobachevskii Journal of Mathematics
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Mathematical and numerical studies of non linear ferromagnetic materials
Patrick Joly, Olivier Vacus (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we are interested in the numerical modeling of absorbing ferromagnetic materials obeying the non-linear Landau-Lifchitz-Gilbert law with respect to the propagation and scattering of electromagnetic waves. In this work we consider the 1D problem. We first show that the corresponding Cauchy problem has a unique global solution. We then derive a numerical scheme based on an appropriate modification of Yee's scheme, that we show to preserve some important properties of...
Simplifying numerical solution of constrained PDE systems through involutive completion
Bijan Mohammadi, Jukka Tuomela (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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When analysing general systems of PDEs, it is important first to find the involutive form of the initial system. This is because the properties of the system cannot in general be determined if the system is not involutive. We show that the notion of involutivity is also interesting from the numerical point of view. The use of the involutive form of the system allows one to consider quite general situations in a unified way. We illustrate our approach on the numerical solution of several...
A T(b) theorem with remarks on analytic capacity and the Cauchy integral
Michael Christ (1990)
Colloquium Mathematicae
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A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients
H. Marcinkowska (1971)
Annales Polonici Mathematici
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A nonstandard dynamically consistent numerical scheme applied to obesity dynamics.
Villanueva, Rafael J., Arenas, Abraham J., González-Parra, Gilberto (2008)
Journal of Applied Mathematics
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Numerical modelling of river flow (numerical schemes for one type of nonconservative systems
Brandner, Marek, Egermaier, Jiří, Kopincová, Hana
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In this paper we propose a new numerical scheme to simulate the river flow in the presence of a variable bottom surface. We use the finite volume method, our approach is based on the technique described by D. L. George for shallow water equations. The main goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. Furthermore this should preserve nonnegativity of some quantities, which are essentially...