Results 261 to 270 of about 6,568 (311)

A comprehensive analytical study of solitons and nonlinear dynamics in a concatenated DNLS-type model. [PDF]

Sci Rep
Farooq FB, Raza N, Ejaz A, Bayram M, Vivas-Cortez M.   +4 more
europepmc   +1 more source

Local Pair Natural Orbital-Based Coupled-Cluster Theory through Full Quadruples (DLPNO-CCSDTQ). [PDF]

J Chem Theory Comput
Jiang A, Matthews DA, Poole D, Briggs CG, Turney JM, Sherrill CD, Schaefer Iii HF.   +6 more
europepmc   +1 more source

Analytically grounded full-wave methods for advances in computational electromagnetics. [PDF]

Philos Trans A Math Phys Eng Sci
Lucido M, Kobayashi K, Nosich AI, Pérez Arancibia C, Vukovic A.   +4 more
europepmc   +1 more source

Dynamical study of different types of soliton solutions with bifurcation, chaos and sensitivity analysis to the non-linear coupled Schrödinger model. [PDF]

Sci Rep
Nasir R, Abbas M, Alharthi MR, Nazir T, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source

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Singularities of Solutions of Singular Integral Equations

Ukrainian Mathematical Journal, 2002
This paper deals with a singular integral equation \[ Sq+Tq=f,\tag{1} \] where \(q(x)\) is an unknown function, \[ Sq(x):=aq(x)+\frac{1}{\pi }\text{v.p.} \int_{-1}^{1} \frac{q(\tau)}{\tau -x} d\tau,\;Tq(x):=\int_{-1}^{1}K(x,\tau)q(\tau) d\tau. \] It is assumed that the functions \(f\) and \(K\) smoothly depend on additional parameters.
Kapustyan, V. E., Il'man, V. M.
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Oscillatory Singular Integrals

Mathematische Nachrichten, 1987
L 2 boundedness is proved for a class of oscillatory singular integrals of the form \[ Tf(x)=\int_{{\mathbb{R}}\quad n}e^{iB(x)\cdot y} K(x- y)f(y)dy,\quad x\in {\mathbb{R}}\quad n,\quad f\in C^{\infty}_ 0({\mathbb{R}}\quad n) \] (suitable assumptions are made about B and K).
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Hierarchical Quadrature for Singular Integrals

Computing, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steffen Börm, Wolfgang Hackbusch
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Singular Integral Equations

Journal of Mathematical Physics, 1966
The integral equation P ∫ cK(ζ′,ζ)ζ′−ζφ(ζ′) dζ′=h(ζ)φ(ζ)+f(ζ)is shown to have simple solutions obtained by standard and elementary methods if h and K have appropriate analytic properties.
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Product Integration for Singular Integrals and Singular Integral Equations

1979
Integral equations with weakly singular kernels often have solutions which have derivative singularities at the end points of the range of integration. The error analysis of a product integration method for such integral equations depends on the error analysis of the product integration method applied to integrals of the form \(\int\limits_0^1 {g\left(
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On a "Singular" Integration Technique of Poisson

The American Mathematical Monthly, 2005
(2005). On a “Singular” Integration Technique of Poisson. The American Mathematical Monthly: Vol. 112, No. 3, pp. 270-272.
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