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Results

114 222 results (0,636s) •

Result

Discrete Green´s Function and Maximum Principles

In this paper the discrete Green´s function (DGF) is introduced and its fundamental properties are proven. Further it is indicated how to use these results to prove the discrete maximum principle for 1D Poisson equ...

BA - Obecná matematika

  • 2006
    • •
  • D
Result

Angle conditions for discrete maximum principles in higher-order FEM

This contribution reviews the general theory of the discrete Green's function and presents a numerical experiment indicating that the discrete maximum principle (DMP) fails to hold in the case of Poisson problem on...

BA - Obecná matematika

  • 2010
    • •
  • D
Result

On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line

into the study of discrete symplectic systems. We extend this development through the introduction of Weyl-Titchmarsh functions together with a preliminary study of their properties. A limit point criterion is described and charact...

BA - Obecná matematika

  • 2010
    • •
  • Jx
Result

Higher-order discrete maximum principle for 1D diffusion-reaction problems

functions) was verified by computer for polynomial degrees up to 10. The paper contains an analysis of the discrete Green's function which can be of independent interest.Sufficient conditions for the validity of t...

BA - Obecná matematika

  • 2010
    • •
  • Jx
Result

The discrete maximum principle for Galerkin solutions of elliptic problems

. The characterization is formulated in terms of the discrete Green?s function and the ellipticThis paper provides an equivalent characterization of the discrete maximum of the discrete maximum principle f...

BA - Obecná matematika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM

Most results related to discrete nonnegativity conservation principles (DNCP) for elliptic problems are limited to finite differences and lowest-order finite element methods (FEM). In this paper we show that a straightforward extension of th...

BA - Obecná matematika

  • 2007
    • •
  • Jx
Result

Theory of Fano Profiles.

The theory of Fano profiles currently presented in the framework of scattering theory is investigated from model Hamiltonians projected in the basis of discrete states. It is shown that the wave operator approach of quantum dynamics applied ...

CF - Fyzikální chemie a teoretická chemie

  • 2001
    • •
  • Jx
Result

Discrete Bessel functions and partial difference equations

We introduce a new class of discrete Bessel functions and discrete modified Bessel functions of integer order. After obtaining some of their basic properties, we show that these functions lead to fundament...

Pure mathematics

  • 2018
    • •
  • Jimp
    • •
  • Link
Result

Evaluation of Convolution Integrals at Late-Times Revisited

The late-time evaluation of electromagnetic (EM) field quantities yielded by convolution integrals that combine Green's functions available at discrete time samples and strictly causal excitations is critically revisited. A...

Electrical and electronic engineering

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

Time-discrete integration of finite deformations

Some necessary implications for the time discrete integration of finite deformations will be discussed together with particular Runge--Kutta--Munthe-Kaas schemes, when the geometrical structure of the space of Cauchy-Green deformati...

BA - Obecná matematika

  • 2012
    • •
  • D
  • 1 - 10 out of 114 222