Background
Holden, Helge was born on September 28, 1956 in Oslo. Son of Finn and Kirsten (Kiellerup) Holden.
http://www.amazon.com/Front-Tracking-Hyperbolic-Conservation-Author/dp/B010BD3CPK%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3DB010BD3CPK
(This book presents the theory of hyperbolic conservation ...)
This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.
http://www.amazon.com/Front-Tracking-Hyperbolic-Conservation-Laws/dp/3540432892%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3540432892
(This book is based on research that, to a large extent, s...)
This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or "noisy". We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions.
https://www.amazon.com/Stochastic-Partial-Differential-Equations-Applications/dp/1468492179?SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook-20&linkCode=sp1&camp=2025&creative=165953&creativeASIN=1468492179
(This book is based on research that, to a large extent, s...)
This book is based on research that, to a large extent, started around 1990, when a research project on fluid flow in stochastic reservoirs was initiated by a group including some of us with the support of VISTA, a research coopera tion between the Norwegian Academy of Science and Letters and Den norske stats oljeselskap A.S. (Statoil). The purpose of the project was to use stochastic partial differential equations (SPDEs) to describe the flow of fluid in a medium where some of the parameters, e.g., the permeability, were stochastic or "noisy". We soon realized that the theory of SPDEs at the time was insufficient to handle such equations. Therefore it became our aim to develop a new mathematically rigorous theory that satisfied the following conditions. 1) The theory should be physically meaningful and realistic, and the corre sponding solutions should make sense physically and should be useful in applications. 2) The theory should be general enough to handle many of the interesting SPDEs that occur in reservoir theory and related areas. 3) The theory should be strong and efficient enough to allow us to solve th,~se SPDEs explicitly, or at least provide algorithms or approximations for the solutions.
http://www.amazon.com/Stochastic-Partial-Differential-Equations-Applications/dp/0817639284%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0817639284
http://www.amazon.com/Tracking-Hyperbolic-Conservation-Mathematical-Paperback/dp/B010WEQMGO%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3DB010WEQMGO
( Hyperbolic conservation laws are central in the theory ...)
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
http://www.amazon.com/Tracking-Hyperbolic-Conservation-Mathematical-Sciences/dp/3642239102%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3642239102
https://www.amazon.com/Stochastic-Partial-Differential-Equations-Universitext/dp/B012HV3CHM?SubscriptionId=AKIAJRRWTH346WSPOAFQ&tag=prabook-20&linkCode=sp1&camp=2025&creative=165953&creativeASIN=B012HV3CHM
Holden, Helge was born on September 28, 1956 in Oslo. Son of Finn and Kirsten (Kiellerup) Holden.
Candidate real., University Oslo, 1981. Doctor of Philosophy, University Oslo, 1985.
He took the dr.philos. degree at the University of Oslo in 1985. The title of his dissertation with Raphael Høegh-Krohn was Point Interactions and the Short-Range Expansion. A Solvable Model in Quantum Mechanics and Its Approximatio.
He was appointed professor at the Norwegian Institute of Technology (now: the Norwegian University of Science and Technology ) in 1991. His research interests are Differential equations, mathematical physics (in particular hyperbolic conservation laws and completely integrable systems), Stochastic analysis, and flow in porous media.
(This book is based on research that, to a large extent, s...)
(This book is based on research that, to a large extent, s...)
( In this second edition, the authors build on the theory...)
( Hyperbolic conservation laws are central in the theory ...)
(This book presents the theory of hyperbolic conservation ...)
[Norwegian Academy of Science and Letters. American Mathematical Society. Norwegian Academy of Technological Sciences]\r\nHe is a member of the Norwegian Academy of Science and Letters and of the Norwegian Academy of Technological Sciences.
Married Ingvill M. Stedøy, June 23,1979. Children: Christian, Mads, Frederik, Daniel.