Search results for: FALA RIEMANNA

• JALA

  Journals

  ISSN: 2211-0682

• Sala Preta

  Journals

  ISSN: 2238-3867

• Parseval Wavelet Frames on Riemannian Manifold

  Publication

  • M. Bownik
  • K. Dziedziul
  • A. Kamont

  - JOURNAL OF GEOMETRIC ANALYSIS - Year 2021

  We construct Parseval wavelet frames in L 2 (M) for a general Riemannian manifold M and we show the existence of wavelet unconditional frames in L p (M) for 1 < p < ∞. This is made possible thanks to smooth orthogonal projection decomposition of the identity operator on L 2 (M), which was recently proven by Bownik et al. (Potential Anal 54:41–94, 2021). We also show a characterization of Triebel–Lizorkin F sp,q (M) and Besov B...

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• Smooth Orthogonal Projections on Riemannian Manifold

  Publication

  • M. Bownik
  • K. Dziedziul
  • A. Kamont

  - POTENTIAL ANALYSIS - Year 2021

  We construct a decomposition of the identity operator on a Riemannian manifold M as a sum of smooth orthogonal projections subordinate to an open cover of M. This extends a decomposition on the real line by smooth orthogonal projection due to Coifman and Meyer (C. R. Acad. Sci. Paris, S´er. I Math., 312(3), 259–261 1991) and Auscher, Weiss, Wickerhauser (1992), and a similar decomposition when M is the sphere by Bownik and Dziedziul (Const....

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• Przyszłość fotowoltaiki – czy zaleje nas fala odpadów?

  Publication

  • E. Klugmann-Radziemska

  - Pismo PG - Year 2022

  Rozwój fotowoltaiki na świecie utrzymuje się przez ostatnie 40 lat na bardzo wysokim, 40-procentowym wzroście rok-do-roku. Również w Polsce obserwujemy od kilku lat rosnące zainteresowanie, zwłaszcza instalacjami prosumenckimi, głównie dzięki licznym programom wspierającym inwestycje. Znaczny udział systemów fotowoltaicznych w generowaniu energii elektrycznej na całym świecie przynosi niewątpliwe korzyści dla środowiska naturalnego,...

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• Fractional equations of Volterra type involving a Riemann Liouville derivative

  Publication

  • T. Jankowski

  - APPLIED MATHEMATICS LETTERS - Year 2013

  In this paper, we discuss the existence of solutions of fractional equations of Volterra type with the Riemann Liouville derivative. Existence results are obtained by using a Banach fixed point theorem with weighted norms and by a monotone iterative method too. An example illustrates the results.

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• Formulation of Time-Fractional Electrodynamics Based on Riemann-Silberstein Vector

  Publication

  • T. Stefański
  • J. Gulgowski

  - ENTROPY - Year 2021

  In this paper, the formulation of time-fractional (TF) electrodynamics is derived based on the Riemann-Silberstein (RS) vector. With the use of this vector and fractional-order derivatives, one can write TF Maxwell’s equations in a compact form, which allows for modelling of energy dissipation and dynamics of electromagnetic systems with memory. Therefore, we formulate TF Maxwell’s equations using the RS vector and analyse their...

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• Fractional Problems with Right-Handed Riemann-Liouville Fractional Derivatives

  Publication

  • T. Jankowski

  - TASK Quarterly - Year 2016

  In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T ]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems...

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• Towards an efficient multi-stage Riemann solver for nuclear physics simulations

  Publication

  • S. Cygert
  • J. Porter-Sobieraj
  • D. Kikoła
  • J. Sikorski
  • M. Słodkowski

  - Year 2013

  Relativistic numerical hydrodynamics is an important tool in high energy nuclear science. However, such simulations are extremely demanding in terms of computing power. This paper focuses on improving the speed of solving the Riemann problem with the MUSTA-FORCE algorithm by employing the CUDA parallel programming model. We also propose a new approach to 3D finite difference algorithms, which employ a GPU that uses surface memory....

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• Initial value problems for neutral fractional differential equations involving a Riemann-Liouville derivative

  Publication

  • T. Jankowski

  - APPLIED MATHEMATICS AND COMPUTATION - Year 2013

  Badano równania neutralne typu ułamkowego z odchylonym argumentem. Podano warunki dostateczne na istnienie jednego rozwiązania.