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Wyszukujesz frazę "initial value problems" wg kryterium: Wszystkie pola


Tytuł:
Initial value problems in elasticity
Autorzy:
Leis, Rolf
Powiązania:
https://bibliotekanauki.pl/articles/1361148.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Banach Center Publications; 1992, 27, 1; 277-294
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A verified method for solving piecewise smooth initial value problems
Autorzy:
Auer, E.
Kiel, S.
Rauh, A.
Powiązania:
https://bibliotekanauki.pl/articles/331354.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval method
non smooth system
initial value problem
metoda przedziałowa
metoda nie gładka
zagadnienie początkowe
Opis:
In many applications, there is a need to choose mathematical models that depend on non-smooth functions. The task of simulation becomes especially difficult if such functions appear on the right-hand side of an initial value problem. Moreover, solution processes from usual numerics are sensitive to roundoff errors so that verified analysis might be more useful if a guarantee of correctness is required or if the system model is influenced by uncertainty. In this paper, we provide a short overview of possibilities to formulate non-smooth problems and point out connections between the traditional non-smooth theory and interval analysis. Moreover, we summarize already existing verified methods for solving initial value problems with non-smooth (in fact, even not absolutely continuous) right-hand sides and propose a way of handling a certain practically relevant subclass of such systems. We implement the approach for the solver VALENCIA-IVP by introducing into it a specialized template for enclosing the first-order derivatives of non-smooth functions. We demonstrate the applicability of our technique using a mechanical system model with friction and hysteresis. We conclude the paper by giving a perspective on future research directions in this area.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 731-747
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multigrid method for numerical solution of ordinary differential equations
Autorzy:
Kozakiewicz, J. M.
Mika, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/747463.pdf
Data publikacji:
1992
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Initial value problems
Opis:
.
We consider the initial value problem for systems of ordinary differential equations such that the solution vector can be split into subvectors and each subvector represented as a product of a scalar amplitude and a shape vector which changes slowly with time. The equations for the shape vectors can be solved with much larger time steps than those required for the original equations. The numerical results show that a substantial reduction in the computing time may be achieved
Źródło:
Mathematica Applicanda; 1992, 21, 35
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On initial value problems for a class of first order impulsive differential inclusions
Autorzy:
Benchohra, Mouffak
Boucherif, Abdelkader
Nieto, Juan
Powiązania:
https://bibliotekanauki.pl/articles/729298.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
impulsive initial value problem
set-valued map
condensing map
fixed point
Opis:
We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 159-171
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using Shehu integral transform to solve fractional order Caputo type initial value problems
Autorzy:
Qureshi, Sania
Kumar, Prem
Powiązania:
https://bibliotekanauki.pl/articles/122809.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
ordinary differential equations
Laplace transform
Riemann-Liouville integral
równanie różniczkowe zwyczajne
transformata Laplace'a
całka Riemann-Liouville
Opis:
In the present research analysis, linear fractional order ordinary differential equations with some defined condition (s) have been solved under the Caputo differential operator having order α > 0 via the Shehu integral transform technique. In this regard, we have presented the proof of finding the Shehu transform for a classical nth order integral of a piecewise continuous with an exponential nt h order function which leads towards devising a theorem to yield exact analytical solutions of the problems under investigation. Varying fractional types of problems are solved whose exact solutions can be compared with solutions obtained through existing transformation techniques including Laplace and Natural transforms.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 75-83
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining the step of integration for the one-step Bobkovs methods
Autorzy:
Szyszkowicz, Mieczysław
Powiązania:
https://bibliotekanauki.pl/articles/748261.pdf
Data publikacji:
1985
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Initial value problems
Automated algorithms
Opis:
.
Consider the class of Bobkov methods for solving the IVP: y′=f(x,y), x[a,b]. Four procedures for finding the step size h are presented. It is shown that these Bobkov methods with automatic stepsize control are faster (i.e. need fewer evaluations of f) than the corresponding Runge-Kutta methods.
Źródło:
Mathematica Applicanda; 1985, 13, 25
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems
Autorzy:
Denton, Z.
Ramirez, J. D.
Powiązania:
https://bibliotekanauki.pl/articles/255901.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Riemann Liouville derivative
integro-differential equation
monotone method
Opis:
In this work we investigate integro-differential initial value problems with Riemann Liouville fractional derivatives where the forcing function is a sum of an increasing function and a decreasing function. We will apply the method of lower and upper solutions and develop two monotone iterative techniques by constructing two sequences that converge uniformly and monotonically to minimal and maximal solutions. In the first theorem we will construct two natural sequences and in the second theorem we will construct two intertwined sequences. Finally, we illustrate our results with an example.
Źródło:
Opuscula Mathematica; 2017, 37, 5; 705-724
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Appendix to the paper "Osgood type conditions for an mth order differential equation"
Autorzy:
Szufla, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/729294.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
initial value problems
measures of noncompactness
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 149-153
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Randomized and quantum algorithms for solving initial-value problems in ordinary differential equations of order k
Autorzy:
Goćwin, M.
Szczęsny, M.
Powiązania:
https://bibliotekanauki.pl/articles/255063.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
k-th order initial-value problems
randomized computing
quantum computing
optimal algorithms
complexity
Opis:
The complexity of initial-value problems is well studied for systems of equations of first order. In this paper, we study the ε-complexity for initial-value problems for scalar equations of higher order. We consider two models of computation, the randomized model and the quantum model. We construct almost optimal algorithms adjusted to scalar equations of higher order, without passing to systems of first order equations. The analysis of these algorithms allows us to establish upper complexity bounds. We also show (almost) matching lower complexity bounds. The ε-complexity in the randomized and quantum setting depends on the regularity of the right-hand side function, but is independent of the order of equation. Comparing the obtained bounds with results known in the deterministic case, we see that randomized algorithms give us a speed-up by 1/2, and quantum algorithms by 1 in the exponent. Hence, the speed-up does not depend on the order of equation, and is the same as for the systems of equations of first order. We also include results of some numerical experiments which confirm theoretical results.
Źródło:
Opuscula Mathematica; 2008, 28, 3; 247-277
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł

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