Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators with unbounded drift by Figueroa, L, Suli, E

“…Approx. 30: 621--651, 2009), by exploiting its connection to greedy algorithms from nonlinear approximation theory explored, for example, by DeVore and Temlyakov (Adv. …”

Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators with unbounded drift by Figueroa, L, Suli, E

“…Approx. 30: 621--651, 2009), by exploiting its connection to greedy algorithms from nonlinear approximation theory explored, for example, by DeVore and Temlyakov (Adv. …”

Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators by Figueroa, L, Süli, E

“…Approx. 30:621-651, 2009), by exploiting its connection to greedy algorithms from nonlinear approximation theory, explored, for example, by DeVore and Temlyakov (Adv. …”

High-order numerical methods for scattering problems by Gopal, A

“…</p> <p>We first consider the case of homogeneous scattering on domains with corners and introduce a new solver in this regime, based on results in the rational approximation theory literature. The solver uses an exponentially clustered sum of dipoles to resolve the singularities in the solution and a simple expansion to resolve the smooth part. …”

Data-driven discovery of Green's functions by Boullé, N

“…The highly compositional structure of these networks, combined with rational approximation theory, implies that rational functions have higher approximation power than standard activation functions. …”

Research on Hypergeometric-Gaussian Vortex Beam Propagating under Oceanic Turbulence by Theoretical Derivation and Numerical Simulation by Xinguang Wang, Le Wang, Shengmei Zhao

“…One is numerical calculation based on the Rytov approximation theory, where the theoretical detection probability equation of the HyGG vortex beam propagating through oceanic turbulence is derived. …”
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Joint position optimization, user association, and resource allocation for load balancing in UAV-assisted wireless networks by Daosen Zhai, Huan Li, Xiao Tang, Ruonan Zhang, Haotong Cao

“…We further propose an iterative power allocation algorithm based on the sequential convex approximation theory. The simulation results indicate that the proposed UAV-assisted wireless network is superior to the terrestrial network in both utility and throughput, and the proposed algorithms can substantially improve the network performance in comparison with the other schemes.…”
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Nonlinear two-layer model for photocarrier radiometry of ion-implanted silicon wafers by Xiaoke Lei, Bincheng Li, Qiming Sun, Jing Wang, Chunming Gao

“…The thickness of the implantation layer and the optical/electronic damage threshold for different implantation doses were estimated using the Monte Carlo method and the effective medium approximation theory, respectively, which can provide key parameter values for the model to calculate the nonlinearity coefficient, defined as the slope of PCR amplitude versus excitation power in log-log scale. …”
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How Many Subpopulations Is Too Many? Exponential Lower Bounds for Inferring Population Histories by Kim, Younhun, Koehler, Frederic, Moitra, Ankur, Mossel, Elchanan, Ramnarayan, Govind

“…Using a variety of tools from information theory, the theory of extremal polynomials, and approximation theory, we prove new sharp information-theoretic lower bounds on the problem of reconstructing population structure - the history of multiple subpopulations that merge, split, and change sizes over time. …”
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Computing Fundamental Matrix Decompositions Accurately via the Matrix Sign Function in Two Iterations: The Power of Zolotarev's Functions by Nakatsukasa, Y, Freund, R

“…The key idea of this algorithm comes from approximation theory: we use the best rational approximant for the scalar sign function due to Zolotarev in 1877. …”

Convertible Thermal Meta-Structures via Hybrid Manufacturing of Stereolithography Apparatus 3D Printing and Surface Metallization for Thermal Flow Manipulation by Bo Li, Jianrui Zhang, Tianxiang Deng, Facai Ren

“…Based on the transformation thermotics and the effective medium approximation theory, we designed and fabricated a convertible thermal meta-structural device to demonstrate that multiple different heat-flow manipulations could be conducted using a single thermal meta-structural device. …”
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A study on fundamental water lubrication characteristics of flat thrust bearing with partial water-repellent regions by Akitoshi TAKEUCHI

“…The fundamental lubrication characteristics of this bearing were considered based on the infinite-width bearing approximation theory that can explain the experimental tendency. …”
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Chlodowsky type $\left( \lambda,q\right)$-Bernstein Stancu operators of Pascal rough triple sequences by Ayhan Esi, Subramanian Nagarajan, Kemal Ozdemir

“…In the second place, the approximation theory is investigated as the rate of the rough statistical convergence of Chlodowsky type $\left(\lambda,q\right)$-operators.…”
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Accurate analysis of limiting human dose of non-lethal laser weapons by Chen-yang Lyu, Ren-jun Zhan

“…Based on the optimized Pennes bioheat transfer equation, the diffusion approximation theory, the modified Beer-Lambert law, the Arrhenius equation, and combined with dynamic thermophysical parameters, this paper highly restored the temperature distribution and accurately solved the necrotic tissue distribution inside the human skin irradiated by 1064 nm laser. …”
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Electromagnetic Bistatic Scattering Features of Shallow Water Waves Over Upslope Submarine Topography by Ding Nie, Min Zhang, Pengbo Wei, Mingyuan Man

“…The shallow water waves with periodic sinusoidal type are simulated by the model that is based on Boussinesq approximation theory, which can accurately construct the detailed wave structure in the nearshore zone, and the analytical model-the second-order small slope approximation is applied to modeling the EM bistatic scattering from the shallow water waves. …”
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New Methods for Dynamic Analysis of Structural Systems under Earthquake Loads by Mehdi Babaei, Maysam Jalilkhani, Seyed Hooman Ghasemi, Somayeh Mollaei

“…The second method uses function approximation theory and integration scheme, and called simplified integration method (SIM). …”
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Time-Frequency Scheduling and Power Optimization for Reliable Multiple UAV Communications by Zhen Xue, Jinlong Wang, Qingjiang Shi, Guoru Ding, Qihui Wu

“…Furthermore, to offer better system performance, we leverage the smooth approximation theory and develop a gradient projection-based method. …”
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An exchange rate model where the fundamentals follow a jump-diffusion process by Jean René Cupidon, Judex Hyppolite

“…The models we analyze in this paper make use of Approximation Theory in order to come up with closed form solutions to the underlying variables. …”
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Time-Varying Pilot’s Intention Identification Based on ESAX-CSA-ELM Classification Method in Complex Environment by Haibo Wang, Ting Pan, Haiqing Si, Hongjia Zhang, Lei Shang, Haibo Liu

“…The extended symbol aggregation approximation theory (ESAX) and the intelligent icon method were utilized to analyze and extract the characteristics of the pilot’s intention. …”
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How Many Subpopulations Is Too Many?: Exponential Lower Bounds for Inferring Population Histories by Kim, Younhun, Koehler, Frederic, Moitra, Ankur, Mossel, Elchanan, Ramnarayan, Govind

“…Using a variety of tools from information theory, the theory of extremal polynomials, and approximation theory, we prove new sharp information-theoretic lower bounds on the problem of reconstructing population structure—the history of multiple subpopulations that merge, split and change sizes over time. …”
Get full text