Results 71 to 80 of about 177,159,861 (211)
Orthogonal Polynomials of Compact Simple Lie Groups
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
doaj +1 more source
Solution of Singular Integral Equations of the First Kind with Cauchy Kernel
In this paper an analytic method is developed for solving Cauchy type singular integral equations of the first kind, over a finite interval. Chebyshev polynomials of the first kind, $T_n(x)$, second kind, $U_n(x)$, third kind, $V_n(x)$, and fourth kind, $
B.n. Mandal, Subhabrata Mondal
doaj +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source
An effective Bombieri–Vinogradov error term for sifting problems
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley +1 more source
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley +1 more source
Incomplete q-Chebyshev polynomials
In this paper, we get the generating functions of the q-Chebyshev polynomials using eta(z) operator, which is eta(z) f(z)) = f(qz) for any given function f (z).
TUĞLU, NAİM +5 more
core +2 more sources
On derivations for chebyshev polynomials of the first kind and related identities.
The Chebyshev polynomials ܶሺݔሻ of the first kind are defined by the following generating ...
Lunio, N. B.
core +1 more source
PARSEC.py is a Python‐based real‐space Kohn–Sham DFT framework that leverages the Python scientific ecosystem for transparent, modular integration of machine‐learned densities and GPU acceleration. This unified design enables more efficient and scalable first‐principles simulations of large chemical and materials systems. ABSTRACT PARSEC.py is a Python‐
Zeyi Zhang +4 more
wiley +1 more source
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj +1 more source
Eighty‐eight novel energetic compounds based on 5‐H‐imidazo‐[4,5‐c]pyridazine and 1,2,4‐triazolo‐[4,3‐a]pyrazine scaffolds, functionalized with nitro, nitramino, azido, and nitrate ester groups, were theoretically evaluated by DFT. Nine candidates surpassed RDX in density and detonation performance while maintaining acceptable impact sensitivity.
Luciana Amorim da Silva +3 more
wiley +1 more source

