2014, 2014, ISBN 1461473292, Volume 9781461473305, xv, 349

Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts...

Matrix analytic methods | Computer science | Distribution (Probability theory | Engineering mathematics | Operations research | Mathematics of Computing | Computer Science | Appl.Mathematics/Computational Methods of Engineering | Probability Theory and Stochastic Processes | Operations Research, Management Science | Operation Research/Decision Theory | Mathematical Modeling and Industrial Mathematics

Matrix analytic methods | Computer science | Distribution (Probability theory | Engineering mathematics | Operations research | Mathematics of Computing | Computer Science | Appl.Mathematics/Computational Methods of Engineering | Probability Theory and Stochastic Processes | Operations Research, Management Science | Operation Research/Decision Theory | Mathematical Modeling and Industrial Mathematics

Book

2017, Probability theory and stochastic modelling, ISBN 9781493970476, Volume 81., 736 pages

This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME...

Markov processes | Probabilities

Markov processes | Probabilities

Book

Journal of Membrane Science, ISSN 0376-7388, 08/2015, Volume 488, pp. 67 - 78

An octahedral metalâ€“organic framework (MIL-101(Cr)) with a uniform size of ~550nm was synthesized via hydrothermal reaction, and then was functionalized with...

Gas separation | Sulfonated poly(ether ether ketone) | Sulfonated MIL-101(Cr) | Carbon dioxide | Mixed matrix membranes | CARBON MOLECULAR-SIEVES | POLYMER SCIENCE | PROTON CONDUCTIVITY | CO2 SEPARATIONS | OF-THE-ART | CO2/CH4 SEPARATION | DIOXIDE CAPTURE | ENGINEERING, CHEMICAL | INORGANIC FILLERS | TRANSPORT | HOLLOW-FIBER MEMBRANES | ZEOLITE | Permeability | Saline water conversion | Sulfuric acid

Gas separation | Sulfonated poly(ether ether ketone) | Sulfonated MIL-101(Cr) | Carbon dioxide | Mixed matrix membranes | CARBON MOLECULAR-SIEVES | POLYMER SCIENCE | PROTON CONDUCTIVITY | CO2 SEPARATIONS | OF-THE-ART | CO2/CH4 SEPARATION | DIOXIDE CAPTURE | ENGINEERING, CHEMICAL | INORGANIC FILLERS | TRANSPORT | HOLLOW-FIBER MEMBRANES | ZEOLITE | Permeability | Saline water conversion | Sulfuric acid

Journal Article

1994, SIAM studies in applied mathematics, ISBN 9780898713343, Volume 15., ix, 193

Book

2005, Studies in fuzziness and soft computing, ISBN 3540237291, Volume 169, 247

Fuzzy sets | Game theory | Programming (Mathematics) | Engineering | Computational Mathematics and Numerical Analysis | Operations Research/Decision Theory | Appl.Mathematics/Computational Methods of Engineering | Artificial Intelligence (incl. Robotics) | Operations Research, Mathematical Programming | Game Theory, Economics, Social and Behav. Sciences

eBook

Water Research, ISSN 0043-1354, 03/2018, Volume 130, pp. 127 - 138

Pharmaceutical abatement in a groundwater (GW), surface water (SW), and secondary effluent (SE) by conventional ozonation, the conventional peroxone (O3/H2O2),...

Ozonation | Micropollutant | Water matrix | Hydrogen peroxide | Advanced oxidation process | EFFECTIVE DEGRADATION | WATER RESOURCES | MICROPOLLUTANT ELIMINATION | OZONE/HYDROGEN PEROXIDE | HOSPITAL WASTE-WATER | ENVIRONMENTAL SCIENCES | ADVANCED OXIDATION PROCESSES | TRACE ORGANIC CONTAMINANTS | ENGINEERING, ENVIRONMENTAL | TREATMENT PLANTS | BROMATE FORMATION | DRINKING-WATER | OPERATIONAL PARAMETERS | Hydrogen Peroxide - chemistry | Ibuprofen - chemistry | Groundwater - chemistry | Oxidation-Reduction | Clofibric Acid - analysis | Ibuprofen - analysis | Ozone - chemistry | Water Pollutants, Chemical - chemistry | Kinetics | Water Pollutants, Chemical - analysis | Clofibric Acid - chemistry | Water Purification - methods | Water, Underground | Ozonization | Aquatic resources | Chemical reaction, Rate of | Analysis

Ozonation | Micropollutant | Water matrix | Hydrogen peroxide | Advanced oxidation process | EFFECTIVE DEGRADATION | WATER RESOURCES | MICROPOLLUTANT ELIMINATION | OZONE/HYDROGEN PEROXIDE | HOSPITAL WASTE-WATER | ENVIRONMENTAL SCIENCES | ADVANCED OXIDATION PROCESSES | TRACE ORGANIC CONTAMINANTS | ENGINEERING, ENVIRONMENTAL | TREATMENT PLANTS | BROMATE FORMATION | DRINKING-WATER | OPERATIONAL PARAMETERS | Hydrogen Peroxide - chemistry | Ibuprofen - chemistry | Groundwater - chemistry | Oxidation-Reduction | Clofibric Acid - analysis | Ibuprofen - analysis | Ozone - chemistry | Water Pollutants, Chemical - chemistry | Kinetics | Water Pollutants, Chemical - analysis | Clofibric Acid - chemistry | Water Purification - methods | Water, Underground | Ozonization | Aquatic resources | Chemical reaction, Rate of | Analysis

Journal Article

Carbohydrate Polymers, ISSN 0144-8617, 02/2016, Volume 137, pp. 184 - 190

â€¢The improvement of food bioprocess, from the safety point of view, was proposed.â€¢Chitosan particles were prepared and crosslinked with genipin and...

Immobilization | Î²-d-Galactosidase | Chitosan | Galactooligosaccharides | Lactose hydrolysis | Genipin | HYDROGELS | POLYMER SCIENCE | OPERATIONAL STABILITY | OLIGOSACCHARIDES | LACTULOSE | beta-D-Galactosidase | BIOPOLYMERS | CHEMISTRY, ORGANIC | GLUTARALDEHYDE | STARCH | CHITIN | LINKING REAGENT | CHEMISTRY, APPLIED | Enzymes, Immobilized - chemistry | beta-Galactosidase - chemistry | Chitosan - chemistry | Iridoids - chemistry | Catalysis | Glutaral - chemistry

Immobilization | Î²-d-Galactosidase | Chitosan | Galactooligosaccharides | Lactose hydrolysis | Genipin | HYDROGELS | POLYMER SCIENCE | OPERATIONAL STABILITY | OLIGOSACCHARIDES | LACTULOSE | beta-D-Galactosidase | BIOPOLYMERS | CHEMISTRY, ORGANIC | GLUTARALDEHYDE | STARCH | CHITIN | LINKING REAGENT | CHEMISTRY, APPLIED | Enzymes, Immobilized - chemistry | beta-Galactosidase - chemistry | Chitosan - chemistry | Iridoids - chemistry | Catalysis | Glutaral - chemistry

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 3, pp. 1326 - 1336

Fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations. For...

Operational matrix | Legendre polynomials | Collocation method | Caputo derivative | Fractional-order differential equations | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | APPROXIMATE | CALCULUS

Operational matrix | Legendre polynomials | Collocation method | Caputo derivative | Fractional-order differential equations | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | APPROXIMATE | CALCULUS

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 ItÃ´â€“Volterra integral equations. In...

Brownian motion process | Stochastic ItÃ´â€“Volterra integral equations | Generalized hat basis functions | ItÃ´ integral | Stochastic operational matrix | ItÃ” integral | Stochastic ItÃ”-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 ItÃ´â€“Volterra integral equations | Generalized hat basis functions | ItÃ´ integral | Stochastic operational matrix | ItÃ” integral | Stochastic ItÃ”-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

1978, vi, 120 p. ill.

Book

Computers and Mathematics with Applications, ISSN 0898-1221, 2012, Volume 63, Issue 1, pp. 133 - 143

The multidimensional ItÃ´â€“Volterra integral equations arise in many problems such as an exponential population growth model with several independent white noise...

Brownian motion process | Stochastic ItÃ´â€“Volterra integral equations | Block pulse functions | ItÃ´ integral | Stochastic operational matrix | Stochastic ItÃ´-Volterra integral equations | It integral | Ito integral | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BLOCK-PULSE FUNCTIONS | KIND | DIFFERENTIAL-EQUATIONS | Stochastic Ito-Volterra integral equations | Confidence intervals | Approximation | Integral equations | Mathematical analysis | Blocking | Mathematical models | Stochasticity | Convergence

Brownian motion process | Stochastic ItÃ´â€“Volterra integral equations | Block pulse functions | ItÃ´ integral | Stochastic operational matrix | Stochastic ItÃ´-Volterra integral equations | It integral | Ito integral | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BLOCK-PULSE FUNCTIONS | KIND | DIFFERENTIAL-EQUATIONS | Stochastic Ito-Volterra integral equations | Confidence intervals | Approximation | Integral equations | Mathematical analysis | Blocking | Mathematical models | Stochasticity | Convergence

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 01/2013, Volume 26, Issue 1, pp. 25 - 31

A new shifted Chebyshev operational matrix (SCOM) of fractional integration of arbitrary order is introduced and applied together with spectral tau method for...

Operational matrix | Riemannâ€“Liouville derivative | Tau method | Multi-term FDEs | Shifted Chebyshev polynomials | Riemann-Liouville derivative | SYSTEM | ORDER | MATHEMATICS, APPLIED | SERIES APPROACH | DIFFERENTIAL-EQUATIONS | IDENTIFICATION | Chebyshev approximation | Mathematical models | Polynomials | Spectral lines | Differential equations

Operational matrix | Riemannâ€“Liouville derivative | Tau method | Multi-term FDEs | Shifted Chebyshev polynomials | Riemann-Liouville derivative | SYSTEM | ORDER | MATHEMATICS, APPLIED | SERIES APPROACH | DIFFERENTIAL-EQUATIONS | IDENTIFICATION | Chebyshev approximation | Mathematical models | Polynomials | Spectral lines | Differential equations

Journal Article

2000, Advances in design and control, ISBN 9780898714388, xxvii, 372

Book

Journal of Computational Physics, ISSN 0021-9991, 07/2015, Volume 293, pp. 142 - 156

In this paper, an efficient and accurate spectral numerical method is presented for solving second-, fourth-order fractional diffusion-wave equations and...

Operational matrix | Shifted Jacobi polynomials | Tau method | Fractional diffusion-wave equations | Caputo derivative | SCHEME | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SUBDIFFUSION | PARTIAL-DIFFERENTIAL-EQUATIONS | HOMOTOPY PERTURBATION METHOD | PHYSICS, MATHEMATICAL | Algorithms | Damping | Approximation | Mathematical analysis | Exact solutions | Tables | Mathematical models | Spectra | Diffusion

Operational matrix | Shifted Jacobi polynomials | Tau method | Fractional diffusion-wave equations | Caputo derivative | SCHEME | ORDER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | SUBDIFFUSION | PARTIAL-DIFFERENTIAL-EQUATIONS | HOMOTOPY PERTURBATION METHOD | PHYSICS, MATHEMATICAL | Algorithms | Damping | Approximation | Mathematical analysis | Exact solutions | Tables | Mathematical models | Spectra | Diffusion

Journal Article

Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 8/2019, Volume 43, Issue 4, pp. 1925 - 1932

The current paper contributes a new numerical algorithm for solving a class of second-order matrix differential equations. To do so, the operational matrix of...

Error estimation | Shifted Legendre polynomials | Materials Science, general | 33D52 | Operational matrix of integration | Earth Sciences, general | Engineering | Matrix differential equation | Life Sciences, general | 15A24 | Chemistry/Food Science, general | 65L60 | 65F30 | Engineering, general | Physics, general | Collocation method | VOLTERRA INTEGRAL-EQUATIONS | MULTIDISCIPLINARY SCIENCES | COLLOCATION METHODS | NUMERICAL-SOLUTIONS | SYSTEMS

Error estimation | Shifted Legendre polynomials | Materials Science, general | 33D52 | Operational matrix of integration | Earth Sciences, general | Engineering | Matrix differential equation | Life Sciences, general | 15A24 | Chemistry/Food Science, general | 65L60 | 65F30 | Engineering, general | Physics, general | Collocation method | VOLTERRA INTEGRAL-EQUATIONS | MULTIDISCIPLINARY SCIENCES | COLLOCATION METHODS | NUMERICAL-SOLUTIONS | SYSTEMS

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 10/2012, Volume 36, Issue 10, pp. 4931 - 4943

In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives which is applied together with spectral tau method for...

Jacobi polynomials | Operational matrix | Multi-term fractional differential equations | Spectral method | Nonlinear fractional differential equations | Caputo derivative | HOMOTOPY ANALYSIS METHOD | POLYNOMIALS | ORDER | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | COEFFICIENTS | Algorithms | Differential equations | Universities and colleges | Mathematical analysis | Exact solutions | Nonlinearity | Mathematical models | Models | Derivatives

Jacobi polynomials | Operational matrix | Multi-term fractional differential equations | Spectral method | Nonlinear fractional differential equations | Caputo derivative | HOMOTOPY ANALYSIS METHOD | POLYNOMIALS | ORDER | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | COEFFICIENTS | Algorithms | Differential equations | Universities and colleges | Mathematical analysis | Exact solutions | Nonlinearity | Mathematical models | Models | Derivatives

Journal Article

New Astronomy, ISSN 1384-1076, 10/2013, Volume 23-24, pp. 113 - 117

â€¢A new second kind Chebyshev (S2KC) operational matrix of derivatives is constructed.â€¢Numerical solutions of a class of linear and nonlinear Laneâ€“Emden type...

Isothermal gas spheres equation | Laneâ€“Emden equations | Second kind Chebyshev operational matrix of differentiation | Second kind | Chebyshev operational matrix of differentiation | Lane-Emden equations | SINGULAR IVPS | ASTRONOMY & ASTROPHYSICS | Algorithms | Differential equations

Isothermal gas spheres equation | Laneâ€“Emden equations | Second kind Chebyshev operational matrix of differentiation | Second kind | Chebyshev operational matrix of differentiation | Lane-Emden equations | SINGULAR IVPS | ASTRONOMY & ASTROPHYSICS | Algorithms | Differential equations

Journal Article

Information Sciences, ISSN 0020-0255, 04/2019, Volume 478, pp. 627 - 640

In generalized probability theory, Choquet calculus on a real line, including Choquet integral equations and differential equations with respect to...

Hellinger divergence | Choquet integral equation | Choquet integral | Operational matrices | Derivative with respect to non-additive measure | Differential equation with respect to non-additive measure | PROBABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS

Hellinger divergence | Choquet integral equation | Choquet integral | Operational matrices | Derivative with respect to non-additive measure | Differential equation with respect to non-additive measure | PROBABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS

Journal Article