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Theorem 3.1 There exists u n ∈ Z h 0 satisfying difference scheme (2.1 - 2.3 2.1 - 2.3
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In particular, we describe explicitly measures on the real line for which the corresponding orthogonal polynomials satisfy (higher-order) q-difference equations extending all known families of orthogonal polynomials satisfying q-difference, difference or differential equations in x.
In this work we design and analyze a free energy satisfying finite difference method for solving Poisson Nernst Planck equations in a bounded domain.
There exists satisfying the difference scheme (2.2)–(2.2).
There exists (u^{n}in Z^{0}_{h}) satisfying the difference scheme (2.6 - 2.8 2.6 - 2.8
Grover shows that landscapes satisfying a certain difference equation have properties favorable to local search.
Let the function be specified like in Definition 1.4, satisfying the basic difference equation (1.19) on with.
Suppose c j (i) ∈ R +, i ∈ Z, j ∈ N[0,h], and b > 0. Let u(i) be a sequence of real numbers satisfying the following difference inequality: (2) (a) Then (3) .
Quality sound design can be the difference between satisfying, tactile combat and unsatisfying floaty combat, or between guns that fire with satisfying oomph and guns that sound like glorified versions of a pellet gun.
A new operator is then obtained by means of a flux difference minimization satisfying the required spatial accuracy.
Finite difference operators satisfying the summation-by-parts (SBP) rules can be used to obtain high order accurate, energy stable schemes for time-dependent partial differential equations, when the boundary conditions are imposed weakly by the simultaneous approximation term (SAT).
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