The Journal of integral equations and applications, ISSN 0897-3962, 1988

Journal

Differential and integral equations, ISSN 0893-4983, 1988

Journal

Integral equations and operator theory, ISSN 1420-8989, 1978

Journal

Journal of Computational Physics, ISSN 0021-9991, 08/2014, Volume 270, pp. 402 - 415

In this paper, a new computational method based on the generalized hat basis functions is proposed for solving stochastic Itô–Volterra integral equations. In...

Brownian motion process | Stochastic Itô–Volterra integral equations | Generalized hat basis functions | Itô integral | Stochastic operational matrix | ItÔ integral | Stochastic ItÔ-Volterra integral equations | Ito integral | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM DIFFERENTIAL-EQUATIONS | INTEGRODIFFERENTIAL EQUATIONS | PHYSICS, MATHEMATICAL | Stochastic Ito Volterra integral equations | Basis functions | Computation | Integral equations | Mathematical analysis | Blocking | Texts | Mathematical models | Stochasticity | INTEGRALS | STOCHASTIC PROCESSES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | VOLTERRA INTEGRAL EQUATIONS | CONVERGENCE | BROWNIAN MOVEMENT | RELIABILITY | COMPARATIVE EVALUATIONS | ACCURACY | PULSES

Brownian motion process | Stochastic Itô–Volterra integral equations | Generalized hat basis functions | Itô integral | Stochastic operational matrix | ItÔ integral | Stochastic ItÔ-Volterra integral equations | Ito integral | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM DIFFERENTIAL-EQUATIONS | INTEGRODIFFERENTIAL EQUATIONS | PHYSICS, MATHEMATICAL | Stochastic Ito Volterra integral equations | Basis functions | Computation | Integral equations | Mathematical analysis | Blocking | Texts | Mathematical models | Stochasticity | INTEGRALS | STOCHASTIC PROCESSES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | VOLTERRA INTEGRAL EQUATIONS | CONVERGENCE | BROWNIAN MOVEMENT | RELIABILITY | COMPARATIVE EVALUATIONS | ACCURACY | PULSES

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 10/2015, Volume 298, pp. 254 - 265

This paper presents a computational method based on the Chebyshev wavelets for solving stochastic Itô–Volterra integral equations. First, a stochastic...

Stochastic Itô–Volterra integral equations | Itô integral | Chebyshev wavelets | Stochastic operational matrix | Stochastic Itô-Volterra integral equations | Ito integral | OPERATIONAL MATRIX | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | Stochastic Ito-Volterra integral equations | Wavelet | Error analysis | Computation | Integral equations | Chebyshev approximation | Mathematical models | Stochasticity | Convergence | POLYNOMIALS | ERRORS | STOCHASTIC PROCESSES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | VOLTERRA INTEGRAL EQUATIONS | CONVERGENCE | ACCURACY

Stochastic Itô–Volterra integral equations | Itô integral | Chebyshev wavelets | Stochastic operational matrix | Stochastic Itô-Volterra integral equations | Ito integral | OPERATIONAL MATRIX | NUMERICAL-SOLUTION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | RANDOM DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | Stochastic Ito-Volterra integral equations | Wavelet | Error analysis | Computation | Integral equations | Chebyshev approximation | Mathematical models | Stochasticity | Convergence | POLYNOMIALS | ERRORS | STOCHASTIC PROCESSES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | MATRICES | VOLTERRA INTEGRAL EQUATIONS | CONVERGENCE | ACCURACY

Journal Article

Engineering analysis with boundary elements, ISSN 0955-7997

Journal

Journal of integral equations, ISSN 0163-5549

Journal

2011, Courant lecture notes in mathematics, ISBN 0821872869, Volume 22, xi, 149

Book

IEEE transactions on antennas and propagation, ISSN 1558-2221, 2015, Volume 63, Issue 8, pp. 3644 - 3653

Frequency domain Mie solutions to scattering from spheres have been used for a long time. However, deriving their transient analog is a challenge, as it...

Fourier transforms | Integral equations | Scattering | Harmonic analysis | Time-dependent Mie series | Volterra integral equation | time-domain integral equations (TDIEs) | Green's function methods | Time-domain analysis | Kernel | Time-dependent Mie Series | Time Domain Integral Equations | Volterra Integral equation | REPRESENTATIONS | FIELD | STABILITY | SPHERICAL WAVE EXPANSION | GREENS-FUNCTION | TELECOMMUNICATIONS | RADIATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MULTIPOLE EXPANSIONS | DOMAIN INTEGRAL-EQUATIONS | VOLUME SOURCE DISTRIBUTIONS | PLANE-WAVE

Fourier transforms | Integral equations | Scattering | Harmonic analysis | Time-dependent Mie series | Volterra integral equation | time-domain integral equations (TDIEs) | Green's function methods | Time-domain analysis | Kernel | Time-dependent Mie Series | Time Domain Integral Equations | Volterra Integral equation | REPRESENTATIONS | FIELD | STABILITY | SPHERICAL WAVE EXPANSION | GREENS-FUNCTION | TELECOMMUNICATIONS | RADIATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MULTIPOLE EXPANSIONS | DOMAIN INTEGRAL-EQUATIONS | VOLUME SOURCE DISTRIBUTIONS | PLANE-WAVE

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 02/2017, Volume 65, Issue 2, pp. 972 - 977

A boundary integral formulation of electromagnetics that involves only the components of E and H is derived without the use of surface currents that appear in...

magnetic field integral equation | vector wave equation | Electric potential | Helmholtz equations | electric field integral equation | Boundary element methods | electromagnetic theory | Boundary conditions | Electromagnetics | Maxwell equations | boundary integral equations | Integral equations | Electromagnetic scattering | Mathematical model | Antennas | electromagnetic propagation | electromagnetic scattering | MATERIAL BODIES | REVOLUTION | TELECOMMUNICATIONS | FORMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Electromagnetic waves | Scattering

magnetic field integral equation | vector wave equation | Electric potential | Helmholtz equations | electric field integral equation | Boundary element methods | electromagnetic theory | Boundary conditions | Electromagnetics | Maxwell equations | boundary integral equations | Integral equations | Electromagnetic scattering | Mathematical model | Antennas | electromagnetic propagation | electromagnetic scattering | MATERIAL BODIES | REVOLUTION | TELECOMMUNICATIONS | FORMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Research | Electromagnetic waves | Scattering

Journal Article

2013, ISBN 9781470410544, viii, 151 pages

Book

Fuzzy sets and systems, ISSN 0165-0114, 2017, Volume 309, pp. 131 - 144

In this article, Bernoulli wavelet method has been developed to solve nonlinear fuzzy Hammerstein–Volterra integral equations with constant delay. This type of...

Bernoulli polynomials | Fuzzy delay integral equation | Bernoulli wavelets | Hammerstein–Volterra integral equation | Hammerstein-Volterra integral equation | MATHEMATICS, APPLIED | NUMERICAL-SOLUTIONS | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | 2ND KIND | COLLOCATION | Epidemiology | Methods

Bernoulli polynomials | Fuzzy delay integral equation | Bernoulli wavelets | Hammerstein–Volterra integral equation | Hammerstein-Volterra integral equation | MATHEMATICS, APPLIED | NUMERICAL-SOLUTIONS | DIFFERENTIAL-EQUATIONS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | 2ND KIND | COLLOCATION | Epidemiology | Methods

Journal Article

Advances in difference equations, ISSN 1687-1847, 2019, Volume 2019, Issue 1, pp. 1 - 14

In this paper, an efficient numerical method is presented for solving nonlinear stochastic Ito-Volterra integral equations based on Haar wavelets. By the...

MATHEMATICS | OPERATIONAL MATRIX | MATHEMATICS, APPLIED | Stochastic integration operational matrixes | FREDHOLM | Haar wavelets | Stochastic Ito-Volterra integral equations | Wavelet analysis | Error analysis | Mathematical analysis | Integral equations | Numerical methods | Volterra integral equations | Stochastic Itô–Volterra integral equations

MATHEMATICS | OPERATIONAL MATRIX | MATHEMATICS, APPLIED | Stochastic integration operational matrixes | FREDHOLM | Haar wavelets | Stochastic Ito-Volterra integral equations | Wavelet analysis | Error analysis | Mathematical analysis | Integral equations | Numerical methods | Volterra integral equations | Stochastic Itô–Volterra integral equations

Journal Article

eJournal

Nonlinear analysis, theory, methods & applications, ISSN 0362-546X, 1976

Journal

17.
Full Text
Symmetrical martingale solutions of backward doubly stochastic Volterra integral equations

Computers & mathematics with applications (1987), ISSN 0898-1221, 2020, Volume 79, Issue 5, pp. 1435 - 1446

This paper aims to study a new class of integral equations called backward doubly stochastic Volterra integral equations (BDSVIEs, for short). The notion of...

Symmetrical martingale solution | Backward stochastic integral | Backward doubly stochastic Volterra integral equation | COMPARISON-THEOREMS | MATHEMATICS, APPLIED | REGULARITY | DIFFERENTIAL-EQUATIONS | SYSTEMS | DRIVEN | Uniqueness theorems | Mathematical analysis | Integral equations | Existence theorems | Monte Carlo simulation | Martingales | Generalized method of moments | Volterra integral equations

Symmetrical martingale solution | Backward stochastic integral | Backward doubly stochastic Volterra integral equation | COMPARISON-THEOREMS | MATHEMATICS, APPLIED | REGULARITY | DIFFERENTIAL-EQUATIONS | SYSTEMS | DRIVEN | Uniqueness theorems | Mathematical analysis | Integral equations | Existence theorems | Monte Carlo simulation | Martingales | Generalized method of moments | Volterra integral equations

Journal Article

IEEE transactions on antennas and propagation, ISSN 1558-2221, 2019, Volume 67, Issue 6, pp. 3680 - 3687

We propose a remedy for the unphysical oscillations arising in the current distribution of carbon nanotube and imperfectly conducting antennas center driven by...

imperfectly conducting antennas | effective current | Dipole antennas | Integral equations | Current distribution | Carbon nanotube (CNT) antennas | integral equation methods | Kernel | Oscillators | Method of moments | Hallén’s integral equation | Resistance | Cylindrical antennas | Numerical methods | Carbon nanotubes | Function generators

imperfectly conducting antennas | effective current | Dipole antennas | Integral equations | Current distribution | Carbon nanotube (CNT) antennas | integral equation methods | Kernel | Oscillators | Method of moments | Hallén’s integral equation | Resistance | Cylindrical antennas | Numerical methods | Carbon nanotubes | Function generators

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 09/2015, Volume 63, Issue 9, pp. 4219 - 4224

The interaction of transient electromagnetic (EM) waves with objects can be formulated by the integral equation approach in time domain. For conducting objects...

Nystrom method | Integral equations | Transient electromagnetic scattering | Scattering | Time-domain analysis | Transient analysis | Method of moments | Antennas | time-domain integral equation | method of moments | FIELD INTEGRAL-EQUATION | time-domain integral equation (TDIE) | TIME | TELECOMMUNICATIONS | Method of moments (MoM) | transient electromagnetic (EM) scattering | TEMPORAL BASIS FUNCTION | SURFACES | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Numerical analysis | Electromagnetic waves | Electric waves | Electromagnetic radiation | Research

Nystrom method | Integral equations | Transient electromagnetic scattering | Scattering | Time-domain analysis | Transient analysis | Method of moments | Antennas | time-domain integral equation | method of moments | FIELD INTEGRAL-EQUATION | time-domain integral equation (TDIE) | TIME | TELECOMMUNICATIONS | Method of moments (MoM) | transient electromagnetic (EM) scattering | TEMPORAL BASIS FUNCTION | SURFACES | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Numerical analysis | Electromagnetic waves | Electric waves | Electromagnetic radiation | Research

Journal Article

1995, 1, ISBN 0412051419, xviii, 638

This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a...

Calculus of variations | Mathematics & Statistics

Calculus of variations | Mathematics & Statistics

Book

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