• Keine Ergebnisse gefunden

Integral Equations in Visual Computing

N/A
N/A
Protected

Academic year: 2021

Aktie "Integral Equations in Visual Computing"

Copied!
1
0
0

Wird geladen.... (Jetzt Volltext ansehen)

Volltext

(1)

Integral Equations in Visual Computing

Summer term 2008 Dr. Bernhard Burgeth

Saarland University Faculty of Mathematics and Computer Science

Assignment H2

Deadline for submission:

Thursday , May 15th, 10:00, at the beginning of the lecture

Problem 1: (4 points)

Calculate the general solution of the following system:

y10 = −y2, y20 = y1+x, using matrix and vector notation.

Problem 2: (2 points)

Calculate the following Laplace transforms:

a) L[1]

b) L[eat]

Specify in each case the domain of definition of the transformed function.

Problem 3: (4 points)

Prove the following equalities:

a) L[f(t)t ](s) =

+∞

R

s

L[f](τ) dτ, s >0 b) L[sint](s) = s21+1, s >0

Referenzen

ÄHNLICHE DOKUMENTE

Метод сплайн-коллокации для решения двумерного интегрального уравнения с логарифмическим ядром.В настоящем сборике, 18-23.. Численные методы

cation method: denoting by ipj the characteristic function of (tj,t.. Let the conditions of Theorem 2 be fulfilled. An analogous result for the multidimensional case Is

The present thesis is most closely related to the works [14, 53, 56] where a discussion about the convergence of piecewise polynomial collocation methods for solving Volterra

[r]

Described above method of collocation with step-by-step implementa- tion is one of the most practical methods for solving Volterra integral equa- tions of the second kind.. It is

ate sense, this approah yields higher order methods, for set-valued.. integrands whih are not smooth enough, it yields further

To prevent these complexities, different ana- lytical methods such as Adomian decomposition methods [5, 6], homotopy analysis method [7, 8], homotopy perturbation method [9,

Allahviranloo, Application of fuzzy differential transform method for solving fuzzy Volterra integral equations, Applied Mathematical Modelling, 37 (3) (2013) 1016-1027..