نتایج جستجو برای: di fferential equations

تعداد نتایج: 491803  

2001
Katalin Balla

For linear di erential algebraic equations of tractability index 1 the notion of the adjoint equation is analysed in full detail. Its solvability is shown at the lowest possible smoothness. The fundamental matrices of both equations are de ned and their relationships are characterized.

1996
Donald J. Estep Roy D. Williams

We describe a MIMD parallel code to solve a general class of ordinary di erential equations, with particular emphasis on the large, sparse systems arising from space discretization of systems of parabolic partial di erential equations. The main goals of this work are sharp bounds on the accuracy of the computed solution and exibility of the software. We discuss the sources of error in solving d...

1998
Roswitha Marz

On the background of a careful analysis of linear DAEs, linearizations of nonlinear index2 systems are considered. Finding appropriate function spaces and their topologies allows to apply the standard Implicit Function Theorem again. Both, solvability statements as well as the local convergence of the Newton-Kantorovich method (quasilinearization) result immediately. In particular, this applies...

1996
Gerlind Plonka

We consider Lebesgue{integrable, compactly supported solutions of two{ scale diierence equations and investigate the relations between translates of these solutions. A detailed study of corresponding invariant subspaces leads to new observations concerning the factorization of the reenement mask and certain spectral properties of corresponding coeecient matrices. In particular, new necessary co...

Journal: :SIAM J. Scientific Computing 1994
Hans Petter Langtangen

The reliability of dynamic systems modeled by white noise excited, stochastic, ordinary di erential equations can be computed from deterministic backward Kolmogorov equations. This paper discusses and compares some numerical solution methods for boundary value problems involving backward Kolmogorov equations. The numerical examples concern single degree of freedom oscillators subjected to white...

1993
Peter J. Olver

This paper summarizes recent results on the number and characterization of di erential invariants of transformation groups Generalizations of theorems due to Ovsiannikov and to M Green are presented as well as a new approach to nding bounds on the number of independent di erential invariants Consider a group of transformations acting on a jet space coordinatized by the inde pendent variables th...

1997
Song Chun Zhu

This paper proposes a new class of nonlinear PDEs called the Gibbs Reaction And Di usion Equation GRADE for a variety of applications in computer vision image processing and graphics In two previous papers the authors have been studying a minimax entropy theory based on which a new class of Gibbs distributions are learned in a fully non parametric form from a set of observed images such as text...

Journal: :نظریه تقریب و کاربرد های آن 0
a. neamaty department of mathematics, university of mazandaran, babolsar, iran b. agheli department of mathematics, qaemshahr branch, islamic azad university, qaemshahr, iran r. darzi department of mathematics, neka branch, islamic azad university, neka, iran

in this work, we have applied elzaki transform and he's homotopy perturbation method to solvepartial di erential equation (pdes) with time-fractional derivative. with help he's homotopy per-turbation, we can handle the nonlinear terms. further, we have applied this suggested he's homotopyperturbation method in order to reformulate initial value problem. some illustrative examples...

1995
Xiao-Chuan Cai Marcus Sarkis

We develop a new class of overlapping Schwarz type algorithms for solving scalar convectiondi usion equations discretized by nite element or nite di erence methods. The preconditioners consist of two components, namely, the usual two-level additive Schwarz preconditioner and the sum of some quadratic terms constructed by using products of ordered neighboring subdomain preconditioners. The order...

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