Evaluation of Static Potential Integrals on Triangular Domains
IEEE Access, 2020 Static potential integrals for constant and linear sources on triangles are derived in a straightforward way. The new representations, as presented, are robust with respect to machine evaluation in important limiting cases.
Donald R. Wilton +3 more
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses
Entropy, 1999 : A Bayesian measure of evidence for precise hypotheses is presented. The intention is to give a Bayesian alternative to significance tests or, equivalently, to p-values. In fact, a set is defined in the parameter space and the posterior probability, its
Julio Michael Stern +1 more
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Numerical Integration of Peak Functions
Journal of Complexity, 1996 Numerical integration of monotone and unimodal positive functions is considered. Adaptive and nonadaptive methods are studied in the worst case setting. Adaptation significantly helps for the class of unimodal functions, but not for the class of monotone functions. The methods are reliable for nonsmooth and discontinuous functions as well.
Erich Novak, Ingo Roschmann
openaire +2 more sources
Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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Tracking fluctuating targets in extremely heterogeneous clutter using amplitude information
The Journal of Engineering, 2019 This study analyses the radar fluctuating target detection in G(0)-distributed clutter using dynamic programming – track before detect (DP-TBD) algorithm. G(0)-distributed clutter is often used to fit the complex circumstances. The authors use chi-square
Feng Li +4 more
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A numerical integration-based Kalman filter for moderately nonlinear systems
Tellus: Series A, Dynamic Meteorology and Oceanography, 2020 This paper introduces a computationally efficient data assimilation scheme based on Gaussian quadrature filtering that potentially outperforms current methods in data assimilation for moderately nonlinear systems.
Sarah A. King +2 more
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Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]
, 2011 In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
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Sufficient conditions for the instability of numerical integration methods
, 1969 In a previous paper, a general theorem was investigated for the stability of numerical integration methods for the solution of systems of differential equations.
Karim, Abdel Abbas I.
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