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2010, ISBN 9780691142869, xiii, 328

... require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree...

Distributed parameter systems | Differential equations, Parabolic | Adaptive control systems | Mathematics

Distributed parameter systems | Differential equations, Parabolic | Adaptive control systems | Mathematics

Book

2004, Mathematical notes, ISBN 0691119538, Volume 45, viii· 218

Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis,...

Calculus of variations | Differential Equations, Nonlinear | Mathematics | Calculus of Variations | Geometry, Riemannian | Differential equations, Nonlinear | Differential equations, Elliptic

Calculus of variations | Differential Equations, Nonlinear | Mathematics | Calculus of Variations | Geometry, Riemannian | Differential equations, Nonlinear | Differential equations, Elliptic

Book

2015, Atlantis Studies in Differential Equations, ISBN 9462391114, Volume 4, 417

This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions...

Quasilinearization | Differential equations, Hyperbolic | Differential equations, Parabolic | Differential equations, Partial | Evolution equations

Quasilinearization | Differential equations, Hyperbolic | Differential equations, Parabolic | Differential equations, Partial | Evolution equations

eBook

2018, SEMA SIMAI Springer Series, ISBN 9783319946757, Volume 15, 323

This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica...

Differential equations, Partial-Asymptotic theory | Mathematics | Computational Science and Engineering | Mathematics and Statistics | Numerical Analysis | Partial Differential Equations

Differential equations, Partial-Asymptotic theory | Mathematics | Computational Science and Engineering | Mathematics and Statistics | Numerical Analysis | Partial Differential Equations

eBook

04/2014, 2014, ISBN 3319067893, Volume 9783319067902

eBook

Annales Henri Poincaré, ISSN 1424-0637, 3/2016, Volume 17, Issue 3, pp. 497 - 535

... Henri Poincar´ e
Renormalization Group
and Stochastic PDEs
Antti Kupiainen
Abstract. We develop a renormalization group (RG) approach to the
study of existence...

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physics, Multidisciplinary | Physical Sciences | Physics, Particles & Fields | Physics, Mathematical | Science & Technology | Analysis | Differential equations | Multiplication | Partial differential equations | Spacetime | Relativity | White noise | Well posed problems | Regularization | Three dimensional models

Mathematical Methods in Physics | Theoretical, Mathematical and Computational Physics | Quantum Physics | Dynamical Systems and Ergodic Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Physics, Multidisciplinary | Physical Sciences | Physics, Particles & Fields | Physics, Mathematical | Science & Technology | Analysis | Differential equations | Multiplication | Partial differential equations | Spacetime | Relativity | White noise | Well posed problems | Regularization | Three dimensional models

Journal Article

11/2018, SEMA SIMAI Springer series, ISBN 9783319976129, Volume 17, 249

This book contains the main results of the talks given at the workshop "Recent Advances in PDEs...

eBook

2018, BCAM SpringerBriefs, ISBN 3319982095, 138

This book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty...

Differential equations, Partial-Asymptotic theory | Distribution (Probability theory | Engineering mathematics | Vibration | Materials | Mathematics | Differential equations, Partial | Mathematical optimization

Differential equations, Partial-Asymptotic theory | Distribution (Probability theory | Engineering mathematics | Vibration | Materials | Mathematics | Differential equations, Partial | Mathematical optimization

eBook

The Annals of probability, ISSN 0091-1798, 01/2014, Volume 42, Issue 1, pp. 204 - 236

In this paper we propose a notion of viscosity solutions for path dependent semi-linear parabolic PDEs...

Viscosity | Partial differential equations | Uniqueness | Differential equations | Mathematics | Mathematical vectors | Path dependence | Random variables | Coefficients | Stopping distances | Comparison principle | Path dependent PDEs | Backward SDEs | Functional itô formula | Viscosity solutions | Statistics & Probability | Physical Sciences | Science & Technology | Mathematical problems | Studies | Calculus | Parabolas | Markov analysis | 60H10 | 60H30 | 35D40 | viscosity solutions | backward SDEs | functional Itô formula | comparison principle | 35K10

Viscosity | Partial differential equations | Uniqueness | Differential equations | Mathematics | Mathematical vectors | Path dependence | Random variables | Coefficients | Stopping distances | Comparison principle | Path dependent PDEs | Backward SDEs | Functional itô formula | Viscosity solutions | Statistics & Probability | Physical Sciences | Science & Technology | Mathematical problems | Studies | Calculus | Parabolas | Markov analysis | 60H10 | 60H30 | 35D40 | viscosity solutions | backward SDEs | functional Itô formula | comparison principle | 35K10

Journal Article

04/2015, 2015, Atlantis Studies in Differential Equations, ISBN 9462391114, Volume 4

eBook

2017, Simula SpringerBriefs on Computing, ISBN 9783319524610, 152

computer science; algorithms; visualization; software; programming

algorithms | visualization | computer science | software | programming

algorithms | visualization | computer science | software | programming

eBook

Foundations of computational mathematics, ISSN 1615-3383, 05/2013, Volume 14, Issue 4, pp. 601 - 633

We consider the problem of Lagrange polynomial interpolation in high or countably infinite dimension, motivated by the fast computation of solutions to partial differential equations (PDEs...

Economics general | 65N35 | Sparse polynomial approximation | Adaptive algorithms | Linear and Multilinear Algebras, Matrix Theory | Leja points | Mathematics | 35J25 | Lebesgue constants | Parametric and stochastic PDEs | Numerical Analysis | High-dimensional problems | 65D05 | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | 65L10 | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Interpolation | Polynomials | Research | Differential equations, Partial | Mathematical research | Algorithms | Partial differential equations | Applied mathematics | Algebra | Computation | Constants | Mathematical models

Economics general | 65N35 | Sparse polynomial approximation | Adaptive algorithms | Linear and Multilinear Algebras, Matrix Theory | Leja points | Mathematics | 35J25 | Lebesgue constants | Parametric and stochastic PDEs | Numerical Analysis | High-dimensional problems | 65D05 | Applications of Mathematics | Math Applications in Computer Science | Computer Science, general | 65L10 | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics, Applied | Science & Technology | Interpolation | Polynomials | Research | Differential equations, Partial | Mathematical research | Algorithms | Partial differential equations | Applied mathematics | Algebra | Computation | Constants | Mathematical models

Journal Article

2018, Applied Mathematical Sciences, ISBN 9783319768946, Volume 199, 456

This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial...

Differential equations, Elliptic-Asymptotic theory

Differential equations, Elliptic-Asymptotic theory

eBook

2014, ISBN 3319067893, Volume 9783319067902, 416

Worked examples in the text provide a practical introduction to the solution techniques presented Collection of codes available for download includes not only...

Shock waves | Plasma astrophysics | Mathematical models | Simulation methods | Physics | Differential equations, Partial | Differential equations

Shock waves | Plasma astrophysics | Mathematical models | Simulation methods | Physics | Differential equations, Partial | Differential equations

eBook

2018, ISBN 9783319951850, 207

eBook

2019, Trends in mathematics, ISBN 3030109364, 392

.... Most of the contributors presented their work during the sessions "Recent progress in evolution equations" and "Nonlinear PDEs" at the 12th ISAAC congress held in 2017 in Växjö, Sweden...

Differential equations, Nonlinear | Differential equations, Partial

Differential equations, Nonlinear | Differential equations, Partial

eBook

2017, Texts in Computational Science and Engineering, ISBN 9783319554556, 522

finite difference methods; programming; python; verification; numerical methods; differential equations

finite difference methods | python | numerical methods | programming | verification | differential equations

finite difference methods | python | numerical methods | programming | verification | differential equations

eBook

2018, Communications and control engineering, ISBN 3319910108, 296

This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs...

Differential equations, Partial

Differential equations, Partial

eBook

Numerical algorithms, ISSN 1017-1398, 1/2017, Volume 74, Issue 1, pp. 19 - 37

...Numer Algor (2017) 74:19–37
DOI 10.1007/s11075-016-0136-5
ORIGINAL PAPER
Comparison of preconditioned Krylov subspace
iteration methods for PDE-constrained...

PDE-constrained optimization problems | Finite elements | Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | Preconditioning | Iterative solution methods | Comparative analysis | Methods | Differential equations

PDE-constrained optimization problems | Finite elements | Algorithms | Algebra | Numerical Analysis | Computer Science | Numeric Computing | Theory of Computation | Preconditioning | Iterative solution methods | Comparative analysis | Methods | Differential equations

Journal Article

Journal of mathematical biology, ISSN 0303-6812, 2/2016, Volume 72, Issue 3, pp. 649 - 681

.... We develop a hybrid DPD–PDE model where dissipative particle dynamics (DPD) is used to model plasma flow and platelets, while the regulatory network of plasma coagulation is described by a system of partial differential equations...

Blood coagulation | Mathematical and Computational Biology | Hybrid models | 92C35 | Dissipative particle dynamics | 74F10 | Clot growth | Mathematics | Applications of Mathematics | 92C50 | Biology | Life Sciences & Biomedicine - Other Topics | Life Sciences & Biomedicine | Science & Technology | Mathematical & Computational Biology | Fibrin - physiology | Animals | Hemostasis - physiology | Models, Biological | Humans | Computational Biology | Platelet Adhesiveness - physiology | Mathematical Concepts | Platelet Aggregation - physiology | Blood Coagulation - physiology | Blood Platelets - physiology | Hemorheology | Blood clotting | Usage | Models | Differential equations, Partial | Blood flow | Index Medicus | Analysis of PDEs

Blood coagulation | Mathematical and Computational Biology | Hybrid models | 92C35 | Dissipative particle dynamics | 74F10 | Clot growth | Mathematics | Applications of Mathematics | 92C50 | Biology | Life Sciences & Biomedicine - Other Topics | Life Sciences & Biomedicine | Science & Technology | Mathematical & Computational Biology | Fibrin - physiology | Animals | Hemostasis - physiology | Models, Biological | Humans | Computational Biology | Platelet Adhesiveness - physiology | Mathematical Concepts | Platelet Aggregation - physiology | Blood Coagulation - physiology | Blood Platelets - physiology | Hemorheology | Blood clotting | Usage | Models | Differential equations, Partial | Blood flow | Index Medicus | Analysis of PDEs

Journal Article

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