«numerical algorithm»
۸۲٬۸۸۹ نتیجهOn convergent numerical algorithms for unsymmetric collocation
In this paper, we are interested in some convergent formulations for the unsymmetric collocation method or the so-called Kansa’s method. We review some newly developed theories on solvability and convergence. The rates of convergence of these variations of Kansa’s method are exam
NUMERICAL ALGORITHMS - ENHANCING PRESENTATION WHILE MAINTAINING RIGOUR IN INTRODUCTORY COURSES. A minimalist approach to course modernisation
Recent academic developments which include a changing student profile, the focus of contemporary research, and social trends have combined to pose significant challenges in first year undergraduate mathematics courses. Issues which arise include the content level, the need to mai
A Numerical Algorithm for the Solution of Simultaneous Nonlinear Equations to Simulate Instability in Nuclear Reactor and Its Analysis
The paper demonstrates the development of a numerical algorithm to solve a set of nonlinear hyperbolic equations in time domain in Eulerian frame of reference using a characteristics based finite difference implicit scheme to analyze density wave oscillations in boiling water nuc
Numerical Algorithms for Axisymmetric Fokker-planck-landau Operators
We establish a simpliied form of the axisymmetric Fokker-Planck-Landau operator. In doing so, we derive a weak formulation of this operator on which we get directly the conservation properties and the decay of the entropy as it is the case for the three dimensional operator 6]. A
Boundary Preserving Semianalytic Numerical Algorithms for Stochastic Differential Equations
Construction of splitting-step methods and properties of related nonnegativity and boundary preserving semianalytic numerical algorithms for solving stochastic differential equations (SDEs) of Itô type are discussed. As the crucial assumption, we oppose conditions such that one c
Efficient Numerical Algorithms for Balanced Stochastic Truncation
We propose an efficient numerical algorithm for relative error model reduction based on balanced stochastic truncation. The method uses full-rank factors of the Gramians to be balanced versus each other and exploits the fact that for large-scale systems these Gramians are often o
Numerical Algorithms and Issues concerning the Discrete-time Optimal Projection Equations for Systems with White Parameters
The discrete-time optimal projection equations for systems with white parameters are strengthened. For the class of minimal ms (mean square) stabilizing compensators the strengthened discrete-time optimal projection equations are proved to be equivalent to first-order necessary o
A Numerical Algorithm for MHD of Ablated Materials
A numerical algorithm for the simulation of magnetohydrodynamics in partially ionized ablated material is described. For the hydro part, the hyperbolic conservation laws with electromagnetic terms is solved using techniques developed for free surface flows; for the electromagneti
On the numerical algorithm for isotropic–kinematic hardening with the Armstrong–Frederick evolution of the back stress
The algorithmic consistency conditions are derived which yield the plastic loading index for the combined isotropic– kinematic hardening plasticity with the Armstrong–Frederick evolution equation for the back stress. Rate-independent elastic–plastic, and rate-dependent viscoelast
A Modular Particle-continuum Numerical Algorithm for Hypersonic Non-equilibrium Flows
A MODULAR PARTICLE-CONTINUUM NUMERICAL ALGORITHM FOR HYPERSONIC NON-EQUILIBRIUM FLOWS by Thomas Edward Schwartzentruber Chairperson: Iain D. Boyd Hypersonic vehicles traveling at high altitudes experience conditions ranging from rarefied to continuum flow. Even within a mostly co