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## Search Articles

2009, 1. Aufl., ISBN 9780470408551, xv, 482

Learn to develop numerical methods for ordinary differential equationsGeneral Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive...

Differential equations, Linear | Differential Equations | Mathematics / Differential Equations / General | Linear systems

Differential equations, Linear | Differential Equations | Mathematics / Differential Equations / General | Linear systems

Book

Nonlinear dynamics, ISSN 1573-269X, 11/2016, Volume 87, Issue 4, pp. 2305 - 2310

In this paper, via generalized bilinear forms, we consider the (
$$2+1$$
2
+
1
)-dimensional bilinear p-Sawadaâ€“Kotera (SK) equation...

( $$2+1$$ 2 + 1 )-dimensional Sawadaâ€“Kotera equation | Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Bilinear equations | Automotive Engineering | 35Q53 | Mechanical Engineering | 37K40 | 35Q51 | Lump solution | (2 + 1)-dimensional Sawadaâ€“Kotera equation | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Quadratic equations | Transformations (mathematics) | Mathematical analysis | Valleys | Nonlinear dynamics | Decay | Nonlinearity | Transformations

( $$2+1$$ 2 + 1 )-dimensional Sawadaâ€“Kotera equation | Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Bilinear equations | Automotive Engineering | 35Q53 | Mechanical Engineering | 37K40 | 35Q51 | Lump solution | (2 + 1)-dimensional Sawadaâ€“Kotera equation | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Quadratic equations | Transformations (mathematics) | Mathematical analysis | Valleys | Nonlinear dynamics | Decay | Nonlinearity | Transformations

Journal Article

2001, ISBN 9810246838, xi, 324

Book

Analysis and mathematical physics, ISSN 1664-235X, 06/2017, Volume 8, Issue 3, pp. 427 - 436

Based on the Hirota bilinear form of the $$(2+1)$$
(2+1)
-dimensional Ito equation, one class of lump solutions and two classes of interaction solutions...

Soliton solution | Mathematical Methods in Physics | Analysis | Mathematics | 35Q53 | 37K40 | 35Q51 | Bilinear form | Lump solution | Physical Sciences | Mathematics, Applied | Science & Technology | Trigonometric functions | Quadratic equations | Solitary waves

Soliton solution | Mathematical Methods in Physics | Analysis | Mathematics | 35Q53 | 37K40 | 35Q51 | Bilinear form | Lump solution | Physical Sciences | Mathematics, Applied | Science & Technology | Trigonometric functions | Quadratic equations | Solitary waves

Journal Article

Foundations of computational mathematics, ISSN 1615-3375, 10/2014, Volume 14, Issue 5, pp. 1017 - 1026

This note shows that we can recover any complex vector
$\boldsymbol {x}_{0} \in \mathbb {C}^{n}$
exactly from on the order of n quadratic equations of the form...

Economics general | 60F10 | Phase retrieval | Linear and Multilinear Algebras, Matrix Theory | Mathematics | PhaseLift | 49N30 | Deviation inequalities for random matrices | 90C25 | Numerical Analysis | Semidefinite relaxations of nonconvex quadratic programs | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | 62H12 | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Equations, Quadratic | Analysis | Mathematical problems | Quadratic equations | Foundations | Mathematical analysis | Texts | Mathematical models | Vectors (mathematics) | Recovery | Optimization

Economics general | 60F10 | Phase retrieval | Linear and Multilinear Algebras, Matrix Theory | Mathematics | PhaseLift | 49N30 | Deviation inequalities for random matrices | 90C25 | Numerical Analysis | Semidefinite relaxations of nonconvex quadratic programs | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | 62H12 | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Equations, Quadratic | Analysis | Mathematical problems | Quadratic equations | Foundations | Mathematical analysis | Texts | Mathematical models | Vectors (mathematics) | Recovery | Optimization

Journal Article

Acta applicandae mathematicae, ISSN 0167-8019, 2/2019, Volume 159, Issue 1, pp. 29 - 74

The paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space...

Computational Mathematics and Numerical Analysis | Newton-Kantorovich method | 52Axx | Stable solution | 52Bxx | Probability Theory and Stochastic Processes | 47H60 | Mathematics | Number of solutions | Rank of elliptic operator | Calculus of Variations and Optimal Control; Optimization | Quadratic operator | Elliptic operator | 47J05 | Applications of Mathematics | Partial Differential Equations | Physical Sciences | Mathematics, Applied | Science & Technology | Euclidean geometry | Euclidean space | Elliptic functions | Mathematical analysis | Kantorovich method

Computational Mathematics and Numerical Analysis | Newton-Kantorovich method | 52Axx | Stable solution | 52Bxx | Probability Theory and Stochastic Processes | 47H60 | Mathematics | Number of solutions | Rank of elliptic operator | Calculus of Variations and Optimal Control; Optimization | Quadratic operator | Elliptic operator | 47J05 | Applications of Mathematics | Partial Differential Equations | Physical Sciences | Mathematics, Applied | Science & Technology | Euclidean geometry | Euclidean space | Elliptic functions | Mathematical analysis | Kantorovich method

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2017, Volume 369, Issue 8, pp. 5467 - 5523

mean-field stochastic differential equations with deterministic coefficients. Time-inconsistency feature of the problems is carefully investigated...

Equilibrium solution | N-person differential games | Time-inconsistency | Mean-field stochastic differential equation | Riccati equation | Linear-quadratic optimal control | Lyapunov equation | Physical Sciences | Mathematics | Science & Technology

Equilibrium solution | N-person differential games | Time-inconsistency | Mean-field stochastic differential equation | Riccati equation | Linear-quadratic optimal control | Lyapunov equation | Physical Sciences | Mathematics | Science & Technology

Journal Article

Nonlinear dynamics, ISSN 1573-269X, 12/2016, Volume 87, Issue 4, pp. 2755 - 2763

In this paper, a new (
$$3+1$$
3
+
1
)-dimensional generalized KP (gKP) equation is presented, and two classes of lump solutions, rationally localized...

Engineering | Vibration, Dynamical Systems, Control | Lump solutions | ( $$3+1$$ 3 + 1 )-Dimensional gKP equation | Classical Mechanics | Hirota bilinear equation | Automotive Engineering | Mechanical Engineering | Generalized bilinear equation | (3 + 1)-Dimensional gKP equation | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Differential equations | Quadratic equations | Parameters | Mathematical analysis | Shape | Contours | Determinants | Localization

Engineering | Vibration, Dynamical Systems, Control | Lump solutions | ( $$3+1$$ 3 + 1 )-Dimensional gKP equation | Classical Mechanics | Hirota bilinear equation | Automotive Engineering | Mechanical Engineering | Generalized bilinear equation | (3 + 1)-Dimensional gKP equation | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Differential equations | Quadratic equations | Parameters | Mathematical analysis | Shape | Contours | Determinants | Localization

Journal Article

Neural computing & applications, ISSN 0941-0643, 12/2017, Volume 28, Issue S1, pp. 929 - 944

...ORIGINAL ARTICLE
Neural network methods to solve the Laneâ€“Emden type equations
arising in thermodynamic studies of the spherical gas cloud model
Iftikhar Ahmad...

Thermodynamics studies | Data Mining and Knowledge Discovery | Artificial neural networks | Nonlinear singular system | Active-set method | Computational Science and Engineering | Computational Biology/Bioinformatics | Sequential quadratic programming | Computer Science | Image Processing and Computer Vision | Artificial Intelligence (incl. Robotics) | Interior-point method | Probability and Statistics in Computer Science | Intelligent computing | Computer Science, Artificial Intelligence | Technology | Science & Technology | Thermal properties | Electrical engineering | Thermodynamics | Algorithms | Neural networks | Analysis | Models | Methods | Boundary value problems | Mathematical models | Quadratic programming | Nonlinear systems | Local optimization | System effectiveness

Thermodynamics studies | Data Mining and Knowledge Discovery | Artificial neural networks | Nonlinear singular system | Active-set method | Computational Science and Engineering | Computational Biology/Bioinformatics | Sequential quadratic programming | Computer Science | Image Processing and Computer Vision | Artificial Intelligence (incl. Robotics) | Interior-point method | Probability and Statistics in Computer Science | Intelligent computing | Computer Science, Artificial Intelligence | Technology | Science & Technology | Thermal properties | Electrical engineering | Thermodynamics | Algorithms | Neural networks | Analysis | Models | Methods | Boundary value problems | Mathematical models | Quadratic programming | Nonlinear systems | Local optimization | System effectiveness

Journal Article

IEEE signal processing letters, ISSN 1070-9908, 09/2016, Volume 23, Issue 9, pp. 1183 - 1187

.... When the rank is known a priori, this problem can be regarded as solving a system of quadratic equations of a low-dimensional subspace...

Linear systems | low-rank matrix recovery | Heuristic algorithms | quadratic equations | Signal processing algorithms | Kaczmarz method | Biomedical measurement | Markov processes | Numerical simulation | Indexes | online algorithms | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Quadratic equations | Algorithms | Computer simulation | Dynamics | Estimating | Mathematical models | Iterative algorithms | Dynamical systems

Linear systems | low-rank matrix recovery | Heuristic algorithms | quadratic equations | Signal processing algorithms | Kaczmarz method | Biomedical measurement | Markov processes | Numerical simulation | Indexes | online algorithms | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Quadratic equations | Algorithms | Computer simulation | Dynamics | Estimating | Mathematical models | Iterative algorithms | Dynamical systems

Journal Article

Nonlinear dynamics, ISSN 1573-269X, 10/2018, Volume 95, Issue 2, pp. 1027 - 1033

In this work, a non-isospectral and variable-coefficient Kadomtsevâ€“Petviashvili equation is considered using...

Hirotaâ€™s bilinear form | Engineering | Vibration, Dynamical Systems, Control | Rational solutions | Lump solutions | Variable-coefficient Kadomtsevâ€“Petviashvili equation | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Medicine, Chinese | Quadratic equations | Coefficients | Mathematical analysis | Periodic structures

Hirotaâ€™s bilinear form | Engineering | Vibration, Dynamical Systems, Control | Rational solutions | Lump solutions | Variable-coefficient Kadomtsevâ€“Petviashvili equation | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Mechanics | Technology | Engineering, Mechanical | Science & Technology | Medicine, Chinese | Quadratic equations | Coefficients | Mathematical analysis | Periodic structures

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 09/2017, Volume 74, Issue 6, pp. 1399 - 1405

By using the Hirota bilinear form of the KP equation, twelve classes of lumpâ€“kink solutions are presented under the help of symbolic computations with Maple...

Soliton solution | Bilinear form | Lump solution | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Studies | Quadratic equations | Exponential functions | Linear equations | Solutions | Transformations (mathematics)

Soliton solution | Bilinear form | Lump solution | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Studies | Quadratic equations | Exponential functions | Linear equations | Solutions | Transformations (mathematics)

Journal Article