Results 11 to 20 of about 17,865 (205)

Implicit Error Bounds for Picard Iterations on Hilbert Spaces

Vietnam Journal of Mathematics, 2018
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D. Russell Luke, Nguyen H. Thao, Matthew K. Tam   +2 more
openaire   +4 more sources

Escape Criteria Using Hybrid Picard S-Iteration Leading to a Comparative Analysis of Fractal Mandelbrot Sets Generated with S-Iteration

Fractal and Fractional
Fractals are a common characteristic of many artificial and natural networks having topological patterns of a self-similar nature. For example, the Mandelbrot set has been investigated and extended in several ways since it was first introduced, whereas ...
Rekha Srivastava, Asifa Tassaddiq, Ruhaila Md Kasmani   +2 more
doaj   +3 more sources

On the Existence and Uniqueness of Solutions for Multidimensional Fractional Stochastic Differential Equations with Variable Order

Mathematics, 2021
Fractional stochastic differential equations are still in their infancy. Based on some existing results, the main difficulties here are how to deal with those equations if the fractional order is varying with time and how to confirm the existence of ...
Seyfeddine Moualkia, Yong Xu
doaj   +1 more source

Finite Element Simulation of Thermo-Mechanical Model with Phase Change

Computation, 2021
In this work, we consider a mathematical model and finite element implementation of heat transfer and mechanics of soils with phase change. We present the construction of the simplified mathematical model based on the definition of water and ice fraction
Maria Vasilyeva, Dmitry Ammosov, Vasily Vasil’ev   +2 more
doaj   +1 more source

An inexact Newton-Krylov algorithm for constrained diffeomorphic image registration [PDF]

, 2015
We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control.
Biros, George, Mang, Andreas
core   +1 more source

Constructing C₀-Semigroups via Picard Iterations and Generating Functions: An Application to a Black–Scholes Integro-Differential Operator

Mathematics, 2021
An alternative approach is proposed for constructing a strongly continuous semigroup based on the classical method of successive approximations, or Picard iterations, together with generating functions.
Marianito R. Rodrigo
doaj   +1 more source

On the convergence of spectral deferred correction methods [PDF]

, 2018
In this work we analyze the convergence properties of the Spectral Deferred Correction (SDC) method originally proposed by Dutt et al. [BIT, 40 (2000), pp. 241--266].
Causley, Mathew F., Seal, David C.
core   +3 more sources

Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

Fixed Point Theory and Applications, 2004
In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the
Berinde Vasile
doaj   +2 more sources

Picard Iterations for Diffusions on Symmetric Matrices [PDF]

Journal of Theoretical Probability, 2015
Matrix-valued stochastic processes have been of significant importance in areas such as physics, engineering and mathematical finance. One of the first models studied has been the so-called Wishart process, which is described as the solution of a stochastic differential equation in the space of matrices.
openaire   +3 more sources

Backward stochastic differential equations with unbounded generators [PDF]

, 2018
In this paper we consider two classes of backward stochastic differential equations. Firstly, under a Lipschitz-type condition on the generator of the equation, which can also be unbounded, we give sufficient conditions for the existence of a unique ...
Gashi, Bujar, Li, Jiajie
core   +2 more sources