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The optimal explicit unconditionally stable box scheme

100%

Moszyński K.

Mathematica Applicanda

|

1997

|

tom 26

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nr 40

PL

.

EN

The finite difference “box” scheme, (see also [1],[2]), is considered on the simplest possible model of single first order linear hyperbolic equation: ut+mux=0 with constant, coefficient m, and one space variable. The optimal version of the scheme, which is nonoscilating and unconditionally stable with respect to the initial and boundary conditions, is derived in the class of box schemes of the order at, least one. If apropriately iterated, this ścinane may be applied to general systems of quasilinear first order hyperbolic equations in one space variable, as an explicit, unconditionally stable solver. For more than one space variable this solver is applicable via splitting (see [3]).

2

Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. II. Interior approximation of a branch

100%

Moszyński K.

Mathematica Applicanda

|

1985

|

tom 12

|

nr 24

PL

.

EN

In part II the author investigates the inner approximate representation of solutions of the equation F(x)=0 in the neighbourhood of regular and critical points.

3

Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation

100%

Moszyński K.

Mathematica Applicanda

|

1985

|

tom 12

|

nr 24

PL

.

EN

The contents of part I lie in the compilation of papers by Descloux and Rappaz ["On numerical approximation of solution branches of nonlinear equations'', École Polytech. Lausanne, Lausanne, 1981; per bibl.; RAIRO Anal. Numér. 16 (1982), no. 4, 319–349; MR0684829]. In Banach spaces the author investigates the implicit nonlinear operator equation F(x)=0 with a sufficiently smooth operator F. He formulates the notions of regular and critical points of an operator and studies the behaviour of the solutions of the equation in the neighbourhood of such points. The theoretical considerations are based on a version of the implicit function theorem.

4

On solving linear algebraic equations with an ill-conditioned matrix

100%

Moszyński K.

Applicationes Mathematicae

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1993-1995

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tom 22

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nr 4

499-513

5

Concerning decomposition of a system of linear algebraic equations

100%

Moszyński K.

Applicationes Mathematicae

|

1995-1996

|

tom 23

|

nr 2

191-198

6

A general scheme for obtaining estimates for interior approximation of certain operators in Banach spaces

100%

Moszyński K.

Mathematica Applicanda

|

1979

|

tom 7

|

nr 14

PL

.

EN

The author gives certain schemas of approximation to certain bounded linear operators in Banach spaces by means of families of simpler operators and of approximation to solutions of linear equations. Estimates of accuracy are given, which seem to be the main aim of the paper. The very technical character of the paper makes it impossible to give here a more detailed description of the contents.

7

Review: B. N. Parlett; The symmetric eigenvalue problem

100%

Moszyński K.

Mathematica Applicanda

|

1986

|

tom 14

|

nr 27

PL

Artykuł nie zawiera streszczenia

EN

The article contains no abstract

8

Sur les systèmes infinis d'équations différentielles ordinaires dans certains espaces de Fréchet

69%

Moszyński K., Pokrzywa A.

Instytut Matematyczny Polskiej Akademii Nauk

EN

Table des Matières § 1. Généralités. Matrices infinies............................................ 5 § 2. Systèmes infinis d'équations différentielles. Problème de Cauchy. Existence- unicité............................................................................ 10 § 3. Approximation par les systèmes finis......................................... 20 § 4. Dépendance de la solution des conditions initiales ou d'un paramètre......... 23 § 5. Quelques remarques sur la séparation des variables........................... 25 Les ouvrages cités................................................................. 32

9

On a certain algorithm of eigenvalue localization for normal operators

64%

Moszyński K., Regińska T.

Banach Center Publications

|

1990

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tom 24

|

nr 1

533-549

10

To readers, authors, referees, formal and informal co-workers of Matematyka Stosowana-Applied Mathematics

64%

Kiełbasiński A., Moszyński K.

Mathematica Applicanda

|

1999

|

tom 27

|

nr 41

PL

Artykuł nie zawiera streszczenia

EN

The article contains no abstract

11

On Jeffreys model of heat conduction

64%

Dryja M., Moszyński K.

Applicationes Mathematicae

|

2001

|

tom 28

|

nr 3

329-351

EN

The Jeffreys model of heat conduction is a system of two partial differential equations of mixed hyperbolic and parabolic character. The analysis of an initial-boundary value problem for this system is given. Existence and uniqueness of a weak solution of the problem under very weak regularity assumptions on the data is proved. A finite difference approximation of this problem is discussed as well. Stability and convergence of the discrete problem are proved.

12

Concerning some version of the Lax-Milgram Lemma in normed spaces

38%

Moszyński K.

Studia Mathematica

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1980

|

tom 68

|

nr 1

67-78

Ograniczanie wyników

6 Mathematica Applicanda

3 Applicationes Mathematicae

1 Banach Center Publications

1 Studia Mathematica

12 Moszyński K.

1 Dryja M.

1 Kiełbasiński A.

1 Pokrzywa A.

1 Regińska T.

1 2001

1 1999

1 1997

2 1995

1 1990

1 1986

2 1985

1 1980

1 1979

1 1974

The optimal explicit unconditionally stable box scheme

Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. II. Interior approximation of a branch

Mixed nonlinear functional equations and approximation of their solutions. The theory of J. Descloux and J. Rappaz. I. Regular and critical points. Bifurcation

On solving linear algebraic equations with an ill-conditioned matrix

Concerning decomposition of a system of linear algebraic equations

A general scheme for obtaining estimates for interior approximation of certain operators in Banach spaces

Review: B. N. Parlett; The symmetric eigenvalue problem

Sur les systèmes infinis d'équations différentielles ordinaires dans certains espaces de Fréchet

On a certain algorithm of eigenvalue localization for normal operators

To readers, authors, referees, formal and informal co-workers of Matematyka Stosowana-Applied Mathematics

On Jeffreys model of heat conduction

Concerning some version of the Lax-Milgram Lemma in normed spaces