Results 31 to 40 of about 24,023 (111)
Refined Stratified Random Field Sampling for Inhomogeneous Turbulence Reconstruction
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We present a refined stratified sampling method for the numerical simulation of a recently introduced random field model for the reconstruction of inhomogeneous turbulence from characteristic flow quantities. The refinement concerns the generation of random wave vectors and allows for an improved accuracy of the simulated fluctuation field.
Markus Antoni +2 more
wiley +1 more source
Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley +1 more source
Numerical cubature from Archimedes' hat-box theorem
, 2004 Archimedes' hat-box theorem states that uniform measure on a sphere projects to uniform measure on an interval. This fact can be used to derive Simpson's rule.
Kuperberg, Greg
core
Investigating the Effect of Internal Waves on Vertical Ice Melting Rates
Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.Abstract Polar ice sheets are losing mass as a result of ocean‐driven melting processes and thus affecting global climate and sea level. Understanding the relevant dynamics and interactions at the ice‐ocean interface is crucial to developing more accurate sea‐level rise projections, but key ocean processes have not yet been considered in detail.
James K. Sweetman +2 more
wiley +1 more source
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
wiley +1 more source
A numerical method for oscillatory integrals with coalescing saddle points
, 2019 The value of a highly oscillatory integral is typically determined asymptotically by the behaviour of the integrand near a small number of critical points.
Huybrechs, Daan +2 more
core
Probabilistic Identification of Parameters in Dynamic Fracture Propagation
International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT In this paper, we propose a novel multiphase approach for identifying input parameters in dynamic fracture propagation. Often, such parameters are partially known and uncertain with incomplete input data, resulting in challenges in predicting a reliable dynamic failure response.
Andjelka Stanić +3 more
wiley +1 more source
, 2015 We describe a method for calculating the roots of special functions satisfying second order linear ordinary differential equations. It exploits the recent observation that the solutions of a large class of such equations can be represented via ...
Bremer, James
core
Numerical Integration in S-PLUS or R: A Survey [PDF]
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus or R. Starting with the general framework, Gaussian quadrature will be discussed first, followed by adaptive rules and Monte Carlo methods.
Diego Kuonen
core +1 more source
A Gaussian quadrature rule for oscillatory integrals on a bounded interval
, 2012 We investigate a Gaussian quadrature rule and the corresponding orthogonal polynomials for the oscillatory weight function exp{i ω x} on the interval [-1,1]. We show that such a rule attains high asymptotic order, in the sense that the quadrature error quickly decreases as a function of the frequency ω. However, accuracy is maintained for all values of
Asheim, Andreas +3 more
openaire +1 more source