1997, Monographs and textbooks in pure and applied mathematics, ISBN 9780824797744, Volume 204., vii, 414

Book

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

Book

2013, ISBN 9781470410544, viii, 151 pages

Book

2012, Mathematical surveys and monographs, ISBN 9780821889817, Volume 183, vii, 317

Book

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

Journal

Engineering analysis with boundary elements, ISSN 0955-7997, 1989

Journal

2011, Graduate studies in mathematics, ISBN 0821852841, Volume 123, xvii, 410

Book

Optical and Quantum Electronics, ISSN 0306-8919, 04/2017, Volume 49, Issue 4, p. 1

Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a...

Nonlinear Boussinesq equations | Conformable time-fractional derivative | Hyperbolic, trigonometric and rational function solutions | Exp (- ϕ(ε)) -expansion method | QUANTUM SCIENCE & TECHNOLOGY | DIFFERENTIAL-EQUATIONS | FUNCTIONAL VARIABLE METHOD | EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | SOLITON-SOLUTIONS | 1ST INTEGRAL METHOD | Exp(-phi/(epsilon))-expansion method | KUDRYASHOV METHOD | OPTICS | Mechanical engineering | Methods | Differential equations

Nonlinear Boussinesq equations | Conformable time-fractional derivative | Hyperbolic, trigonometric and rational function solutions | Exp (- ϕ(ε)) -expansion method | QUANTUM SCIENCE & TECHNOLOGY | DIFFERENTIAL-EQUATIONS | FUNCTIONAL VARIABLE METHOD | EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | SOLITON-SOLUTIONS | 1ST INTEGRAL METHOD | Exp(-phi/(epsilon))-expansion method | KUDRYASHOV METHOD | OPTICS | Mechanical engineering | Methods | Differential equations

Journal Article

1982, ISBN 0716713039, x, 237

Book

2012, Graduate studies in mathematics, ISBN 9780821883204, Volume 138, xii, 431

Book

Applied Mathematics and Computation, ISSN 0096-3003, 02/2018, Volume 318, pp. 3 - 18

In this paper, we further develop recent results in the numerical solution of Hamiltonian partial differential equations (PDEs) (Brugnano et al., 2015), by...

Nonlinear Schrödinger equation | Hamiltonian partial differential equations | Energy-conserving methods | Line integral methods | Hamiltonian Boundary Value methods | HBVMs | CONSERVATION ISSUES | MATHEMATICS, APPLIED | SYMPLECTIC METHODS | Nonlinear Schrodinger equation | STEP METHODS | IMPLEMENTATION | IMPLICIT METHODS | FAMILY | NUMERICAL-SOLUTION | GAUSS COLLOCATION | INTEGRATORS | Usage | Methods | Differential equations

Nonlinear Schrödinger equation | Hamiltonian partial differential equations | Energy-conserving methods | Line integral methods | Hamiltonian Boundary Value methods | HBVMs | CONSERVATION ISSUES | MATHEMATICS, APPLIED | SYMPLECTIC METHODS | Nonlinear Schrodinger equation | STEP METHODS | IMPLEMENTATION | IMPLICIT METHODS | FAMILY | NUMERICAL-SOLUTION | GAUSS COLLOCATION | INTEGRATORS | Usage | Methods | Differential equations

Journal Article

01/2019, ISBN 3038976679

The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable...

structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator

structured matrices | curl | numerical methods | time fractional differential equations | hierarchical splines | finite difference methods | null-space | highly oscillatory problems | stochastic Volterra integral equations | differential equations | displacement rank | constrained Hamiltonian problems | Hermite | hyperbolic partial differential equations | higher-order finite element methods | continuous geometric average | Volterra integro | spectral (eigenvalue) and singular value distributions | generalized locally Toeplitz sequences | Obreshkov methods | B-spline | discontinuous Galerkin methods | adaptive methods | Cholesky factorization | energy-conserving methods | order | collocation method | Poisson problems | time harmonic Maxwell’s equations and magnetostatic problems | tree | multistep methods | stochastic differential equations | optimal basis | finite difference method | elementary differential | gradient system | Runge | conservative problems | line integral methods | stochastic multistep methods | Hamiltonian Boundary Value Methods | Kutta | limited memory | boundary element method | convergence | analytical solution | preconditioners | asymptotic stability | collocation methods | histogram specification | local refinement | edge-preserving smoothing | numerical analysis | THB-splines | BS methods | barrier options | stump | shock waves and discontinuities | mean-square stability | Volterra integral equations | high order discontinuous Galerkin finite element schemes | B-splines | vectorization and parallelization | initial value problems | one-step methods | scientific computing | fractional derivative | linear systems | Hamiltonian problems | low rank completion | ordinary differential equations | mixed-index problems | edge-histogram | Hamiltonian PDEs | matrix ODEs | HBVMs | floating strike Asian options | generalized Schur algorithm | Galerkin method | symplecticity | high performance computing | isogeometric analysis | discretization of systems of differential equations | curl operator

eBook

1988, ISBN 3540190457, v.

Book

Optical and Quantum Electronics, ISSN 0306-8919, 8/2017, Volume 49, Issue 8, pp. 1 - 15

In this paper, the first integral method and the functional variable method are used to establish exact traveling wave solutions of the space–time fractional...

Modified KDV–Zakharov–Kuznetsov equation | Conformable fractional derivative | First integral method | Optics, Lasers, Photonics, Optical Devices | Characterization and Evaluation of Materials | Schrödinger–Hirota equation | Computer Communication Networks | Physics | Functional variable method | Electrical Engineering | QUANTUM SCIENCE & TECHNOLOGY | 1ST INTEGRAL METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | Modified KDV-Zakharov-Kuznetsov equation | WAVE SOLUTIONS | OPTICS | Schrodinger-Hirota equation | ENGINEERING, ELECTRICAL & ELECTRONIC | Differential equations | Aerospace engineering

Modified KDV–Zakharov–Kuznetsov equation | Conformable fractional derivative | First integral method | Optics, Lasers, Photonics, Optical Devices | Characterization and Evaluation of Materials | Schrödinger–Hirota equation | Computer Communication Networks | Physics | Functional variable method | Electrical Engineering | QUANTUM SCIENCE & TECHNOLOGY | 1ST INTEGRAL METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | Modified KDV-Zakharov-Kuznetsov equation | WAVE SOLUTIONS | OPTICS | Schrodinger-Hirota equation | ENGINEERING, ELECTRICAL & ELECTRONIC | Differential equations | Aerospace engineering

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

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

2013, 2nd ed., Chapman & Hall/CRC applied mathematics & nonlinear science, ISBN 1439898464, xiv, 669

"Preface Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration...

Differential equations, Partial | Computer-assisted instruction | MATLAB

Differential equations, Partial | Computer-assisted instruction | MATLAB

Book

Optical and Quantum Electronics, ISSN 0306-8919, 3/2018, Volume 50, Issue 3, pp. 1 - 13

In this paper, the first integral method is applied to solve the Korteweg–de Vries equation with dual power law nonlinearity and equation of microtubule as...

Commutative algebra | Nonlinear partial differential equations | First integral method | Optics, Lasers, Photonics, Optical Devices | Exact solutions | Equation of microtubules | KdV equation with dual power law | Characterization and Evaluation of Materials | Computer Communication Networks | Physics | Electrical Engineering | TRAVELING-WAVE SOLUTIONS | QUANTUM SCIENCE & TECHNOLOGY | MODEL | OPTICS | NONLINEAR EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Methods | Algebra | Differential equations

Commutative algebra | Nonlinear partial differential equations | First integral method | Optics, Lasers, Photonics, Optical Devices | Exact solutions | Equation of microtubules | KdV equation with dual power law | Characterization and Evaluation of Materials | Computer Communication Networks | Physics | Electrical Engineering | TRAVELING-WAVE SOLUTIONS | QUANTUM SCIENCE & TECHNOLOGY | MODEL | OPTICS | NONLINEAR EVOLUTION-EQUATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Methods | Algebra | Differential equations

Journal Article

2002, Research notes in mathematics, ISBN 1584882832, Volume 432, xiii, 243

Book

2019, Springer Series in Computational Mathematics, ISBN 9811500975, Volume 54, 338

This book discusses numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations,...

Fractional differential equations | Mathematics | Ordinary Differential Equations | Epidemiology | Numerical Analysis | Partial Differential Equations

Fractional differential equations | Mathematics | Ordinary Differential Equations | Epidemiology | Numerical Analysis | Partial Differential Equations

eBook

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.