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Tytuł:
The algorithms of selected methods for the two-point boundary value problem for the equation - u + g(x)u = f(x)
Autorzy:
Kołodziejczyk, Janusz
Grabarski, Adam
Powiązania:
https://bibliotekanauki.pl/articles/747914.pdf
Data publikacji:
1990
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Boundary value problems
Opis:
.
In this paper four algorithms of methods of approximate solution of the two-point boundary value problem for the equation - u” + g(x)u = f(x) are given and compared. The finite difference, collocation, finite element and collocation-Galerkin methods are considered. Numerical results are presented. For sufficiently regular functions u,f and g the finite difference method is the most effective.
Źródło:
Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a class of nonlinear ellipticequations in Hilbert spaces
Autorzy:
Fijałkowski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/1311662.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonlinear elliptic boundary value problems
Opis:
We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.
Źródło:
Annales Polonici Mathematici; 1994, 59, 3; 203-213
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of eigenvalues of nonselfadjoint problems on an infinite interval
Autorzy:
Regińska, Teresa
Powiązania:
https://bibliotekanauki.pl/articles/748435.pdf
Data publikacji:
1979
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Linear boundary value problems,Linear equations,Eigenvalue problems
Opis:
W pracy badane są zagadnienia własne Lu=a u. Dowodzi się, iż wartości własne tego zagadnienia są aproksymowane przez wartości własne pewnych zagadnień własnych na przedziałach skończonych.
The author treats the problem of approximation of the eigenvalues of the nonselfadjoint problem Lu=λu, u(0)=0, u∈L2(0,∞), where L=−d2/dt2+p(x), domL={u∈L2(0,∞):du/dt continuous, d2u/dt2∈L2(0,∞), u(0)=0}. The same question for a selfadjoint problem was answered in the author's recent paper.
Źródło:
Mathematica Applicanda; 1979, 7, 14
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear boundary value problems for differential inclusions y'' ∈ F(t,y,y')
Autorzy:
Erbe, L.
Krawcewicz, W.
Powiązania:
https://bibliotekanauki.pl/articles/1313250.pdf
Data publikacji:
1991
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
boundary value problems
differential inclusion
topological transversality
Opis:
Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Źródło:
Annales Polonici Mathematici; 1991, 54, 3; 195-226
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical method of bicharacteristics for quasilinear hyperbolic functional differential systems
Autorzy:
Kropielnicka, Karolina
Powiązania:
https://bibliotekanauki.pl/articles/745296.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
initial boundary value problems
bicharacteristics
interpolating operators
Opis:
Classical solutions of mixed problems for first order partial functional differential systems in two independent variables are approximated in the paper with solutions of a difference problem of the Euler type. The mesh for the approximate solutions is obtained by a numerical solving of equations of bicharacteristics. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given functions satisfy nonlinear estimates of the Perron type. Differential systems with deviated variables and differential integral systems can be obtained from a general model by specializing given operators.
Źródło:
Commentationes Mathematicae; 2005, 45, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Initial-boundary value problems for impulsive parabolic functional differential equations
Autorzy:
Bainov, D.
Kamont, Zdzisław
Minchev, E.
Powiązania:
https://bibliotekanauki.pl/articles/1339288.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
initial-boundary value problems
impulsive parabolic equations
Opis:
Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 1; 1-15
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One boundary value problem including a spectral parameter in all boundary conditions
Autorzy:
Kabataş, Ayşe
Powiązania:
https://bibliotekanauki.pl/articles/29519516.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
boundary value problems
asymptotics
Green’s functions
Opis:
In this paper, asymptotic formulae for solutions and Green’s function of a boundary value problem are investigated when the equation and the boundary conditions contain a spectral parameter.
Źródło:
Opuscula Mathematica; 2023, 43, 5; 651-661
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction - a survey
Autorzy:
Cash, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/255625.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
deferred correction
boundary value problems
conditioning
mesh selection
Opis:
The use of iterated deferred correction has proved to be a very efficient approach to the numerical solution of general first order systems of nonlinear two-point boundary value problems. In particular the two high order codes TWPBVP.f, based on mono-implicit Runge-Kutta (MIRK) formulae, and TWPBVPL.f based on Lobatto Runge-Kutta formulae as well as the continuation codes ACDC.f and COLMOD.f are now widely used. In this survey we describe some of the problems involved in the derivation of efficient deferred correction schemes. In particular we consider the construction of high order methods which preserve the stability of the underlying formulae, the choice of the mesh choosing algorithm which is based both on local accuracy and conditioning, and the computation of continuous solutions.
Źródło:
Opuscula Mathematica; 2006, 26, 2; 269-287
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Riemann problem on the double of a multiply connected circular region
Autorzy:
Mityushev, V.
Powiązania:
https://bibliotekanauki.pl/articles/1294693.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
boundary value problems on Riemann surfaces
functional equation
Opis:
The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Źródło:
Annales Polonici Mathematici; 1997, 67, 1; 1-14
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nontrivial critical points of asymptotically quadratic functions at resonances
Autorzy:
Fečkan, Michal
Powiązania:
https://bibliotekanauki.pl/articles/1294725.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weak solutions
boundary value problems
Morse-Conley index
Opis:
Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.
Źródło:
Annales Polonici Mathematici; 1997, 67, 1; 43-57
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multipliers in Sobolev spaces and exact convergence rate estimates for the finite-difference schemes
Autorzy:
Jovanović, Boško
Powiązania:
https://bibliotekanauki.pl/articles/1361062.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
finite differences
multipliers
boundary-value problems
Sobolev spaces
Opis:
In this paper we present some recent results concerning convergence rate estimates for finite-difference schemes approximating boundary-value problems. Special attention is given to the problem of minimal smoothness of coefficients in partial differential equations necessary for obtaining the results.
Źródło:
Banach Center Publications; 1994, 29, 1; 165-173
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence results for delay second order differential inclusions
Autorzy:
Azzam-Laouir, Dalila
Haddad, Tahar
Powiązania:
https://bibliotekanauki.pl/articles/729461.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
boundary-value problems
delay differential inclusions
fixed point
retract
Opis:
In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2008, 28, 1; 133-146
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of linear and non-linear boundary value problems using population-distributed parallel differential evolution
Autorzy:
Nasim, Amnah
Burattini, Laura
Fateh, Muhammad Faisal
Zameer, Aneela
Powiązania:
https://bibliotekanauki.pl/articles/91569.pdf
Data publikacji:
2019
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
parallel evolutionary algorithms
differential evolution
boundary value problems
optimization
Opis:
Cases where the derivative of a boundary value problem does not exist or is constantly changing, traditional derivative can easily get stuck in the local optima or does not factually represent a constantly changing solution. Hence the need for evolutionary algorithms becomes evident. However, evolutionary algorithms are compute-intensive since they scan the entire solution space for an optimal solution. Larger populations and smaller step sizes allow for improved quality solution but results in an increase in the complexity of the optimization process. In this research a population-distributed implementation for differential evolution algorithm is presented for solving systems of 2nd-order, 2-point boundary value problems (BVPs). In this technique, the system is formulated as an optimization problem by the direct minimization of the overall individual residual error subject to the given constraint boundary conditions and is then solved using differential evolution in the sense that each of the derivatives is replaced by an appropriate difference quotient approximation. Four benchmark BVPs are solved using the proposed parallel framework for differential evolution to observe the speedup in the execution time. Meanwhile, the statistical analysis is provided to discover the effect of parametric changes such as an increase in population individuals and nodes representing features on the quality and behavior of the solutions found by differential evolution. The numerical results demonstrate that the algorithm is quite accurate and efficient for solving 2nd-order, 2-point BVPs.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2019, 9, 3; 205-218
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Influence of the Wall Acoustic Impedance on the Room Acoustics. The Exact Solution
Autorzy:
Brański, A.
Kocan-Krawczyk, A.
Prędka, E.
Powiązania:
https://bibliotekanauki.pl/articles/177084.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Fourier analysis
architectural acoustics
absorption coefficients
boundary-value problems
Opis:
The Fourier method is applied to the description of the room acoustics field with the combination of uniform impedance boundary conditions imposed on some walls. These acoustic boundary conditions are expressed by absorption coefficient values In this problem, the Fourier method is derived as the combination of three one-dimensional Sturm-Liouville (S-L) problems with Robin-Robin boundary conditions at the first and second dimension and Robin-Neumann ones at the third dimension. The Fourier method requires an evaluation of eigenvalues and eigenfunctions of the Helmholtz equation, via the solution of the eigenvalue equation, in all directions. The graphic-analytical method is adopted to solve it It is assumed that the acoustic force constitutes a monopole source and finally the forced acoustic field is calculated. As a novelty, it is demonstrated that the Fourier method provides a useful and efficient approach for a room acoustics with different values of wall impedances. Theoretical considerations are illustrated for rectangular cross-section of the room with particular ratio. Results obtained in the paper will be a point of reference to the numerical calculations.
Źródło:
Archives of Acoustics; 2017, 42, 4; 677-687
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian
Autorzy:
Smejda, J.
Wieteska, R.
Powiązania:
https://bibliotekanauki.pl/articles/952772.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
discrete boundary value problems
variational methods
mountain pass theorem
Opis:
In this paper we study the existence and the nonexistence of solutions for the boundary value problems of a class of nonlinear second-order discrete equations depending on a parameter. Variational (the mountain pass technique) and non-variational methods are applied.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 851-870
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 53

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