Recent advances in quantum scattering calculations on polyatomic bimolecular reactions by Fu, B, Shan, X, Zhang, D, Clary, D

“…They also serve as quantum mechanical benchmarks for testing approximate theories which can more readily be applied to more complicated reactions. …”

Minimal analytical model for undular tidal bore profile; quantum and Hawking effect analogies by M V Berry

“…Waves travelling up-river, driven by high tides, often consist of a smooth front followed by a series of undulations. A simple approximate theory gives the rigidly travelling profile of such ‘undular hydraulic jumps’, up to scaling, as the integral of the Airy function; applying self-consistency fixes the scaling. …”
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DETACHMENT OF ELEMENTARY STRESS-STRAIN STATESFROM ZERO CURVATURE SHELL EQUATIONS by Ye М Zveryaev, G I Makarov

“…A methodic of the approximate theory shell equations construction for the null curvature shell is presented. …”
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Microscopic structure and thermodynamics of a core-softened model fluid from the second-order integral equations theory by S. Sokołowski, Z. Sokołowska, O. Pizio

“…The limits of the region of density anomaly resulting from different approximate theories are established. The obtained results show that the second-order hypernetted chain approximation can be used to describe both the structure and the density anomaly of this model fluid. …”
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Updates to the AMUR code for R-matrix analyses on heavy nuclei by Kunieda Satoshi, Endo Shunsuke, Kimura Atsushi

“…The AMUR code, that had been initially designed for R-matrix analysis on light nuclei, was updated to perform resonance analyses on heavy nuclei by including approximated theories with experimental corrections such as resolution function. …”
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Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation by Bijay Kumar Agarwalla, Dvira Segal

“…Results are compared with other approximate theories, as well as with a non-interacting model, a fully harmonic thermal junction.…”
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THE DENSITY OF STATES OF A SPATIALLY DISORDERED TIGHT-BINDING MODEL by Logan, D, Winn, M

“…A systematic derivation and critical discussion of various approximate theories for Ḡ(z) is given. We also show that extension to include site-diagonal disorder is straightforward for single-site theories. …”

Statistical Inference of Left Truncated and Right Censored Data from Marshall–Olkin Bivariate Rayleigh Distribution by Ke Wu, Liang Wang, Li Yan, Yuhlong Lio

“…When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established, and corresponding approximate confidence intervals are also constructed by using a Fisher information matrix and asymptotic approximate theory. Furthermore, Bayesian estimates and associated high posterior density credible intervals of unknown parameters are provided based on general flexible priors. …”
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Load-separation curves for the contact of self-affine rough surfaces by Antonio Papangelo, Norbert Hoffmann, Michele Ciavarella

“…Abstract There are two main approximate theories in the contact of rough solids: Greenwood-Williamson asperity theories (GW) and Persson theories. …”
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Hydrodynamics and mass transport in wall tube and microjet electrodes: Effect of vortex formation and cell geometry on limiting currents by Melville, J, Simjee, N, Unwin, P, Coles, B, Compton, R

“…The dangers of applying approximate theory to these surprisingly complex devices are stressed.…”

Time-dependent wave packet study of the N++H-2 reaction by Russell, C, Manolopoulos, D

“…In addition to providing results that can be used to test more approximate theories, these calculations are used to shed light on a number of key issues concerning the reaction, including the correct value of the reaction endothermicity, the reactivity of excited H2 rotational states, and the lifetimes of the intermediate NH2+ complexes that are formed in collisions of N+ with H2(v=0) and H2(v=1). …”

Tube Wave Generation At A Layer Boundary For An Incident Compressional Plane Wave by Peng, Chengbin, Toksoz, M. Nafi

“…An approximate theory for the scattering of an incident plane P wave into tube waves in a fluid-filled borehole drilled through two homogeneous half-spaces is proposed in this paper. …”
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SOLUBLE THEORIES FOR THE DENSITY OF STATES OF A SPATIALLY DISORDERED 2-LEVEL TIGHT-BINDING MODEL by Winn, M, Logan, D

“…From the exact description, various approximate theories for G(z) may be developed systematically. …”

Theory of Peer-to-Peer Locking of High-Power Gyrotron Oscillators Coupled with Delay by Asel B. Adilova, Nikita M. Ryskin

“…In this article, we present the model of two delay-coupled gyrotrons. We develop an approximate theory of phase locking based on the generalized Adler’s equation, which allows for the treatment of in-phase and anti-phase locking modes. …”
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Mesoscopic description of network-forming clusters of weakly charged colloids by A. Ciach, W.T. Góźdź

“…We find that the region of stability of the gyroid phase very weakly depends on the form of the SALR potential within the approximate theory.…”
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Study on the Oil Film Force with Unlimited Length Oil Film of the Sliding Bearing and the ERSFD with Bosses by Guoying Pang, Shuqian Cao, Yushu Chen

“…Combined with the short and long bearing, general structures and expressions of analytical solutions of oil film pressures and forces under three approximation theories were obtained. The oil film characteristics of the dynamic equilibrium state were obtained, and the correctness was verified by theoretical comparison. …”
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3D Semi-Analytical Solutions for Functionally Grade Power Law Varied Laminate Subjected to Thermo-Mechanical Loading by Sharawari Kulkarni, Sandeep Pendhari

“…Developed formulation carries the advantage of both elasticity solution as well as ESL or approximate theories. This new model capable of providing accurate results without any approximation along the thickness of FG laminate. …”
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Modeling infiltration in irrigation project by Ali, Md. Hazrat, Lee, Teang Shui, Kwok, Chee Yan, Eloubaidy, Aziz F., Foong, K. C.

“…This paper deals with the estimation of infiltration from Muda area by a widely used approximate theory-based infiltration model, known as the Green-Ampt model (1911). …”
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DIVERSITY SIGNAL PROCESSING OVER WEIBULL FADING CHANNELS by V. P. Tuzlukov

“…An accurate approximate expression is derived for the moment-generating function of the output signal-to-noise ratio of the equal-gain combining receiver utilizing the Padé approximants theory, while a closed-form expression for the corresponding MGF of the maximal-ratio combining receiver, is obtained. …”
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Extreme value statistics of smooth random Gaussian fields by Colombi, S, Davis, O, Devriendt, J, Prunet, S, Silk, J

“…We compare the analytic predictions to numerical experiments for the case of a scale-free Gaussian field in two dimensions, achieving impressive agreement between approximate theory and measurements. We also discuss the generalization of our formalism to non-Gaussian fields.…”