Submit Search
Upload
X2 T05 07 Quadratic Denominators
•
Download as PPT, PDF
•
0 likes
•
653 views
N
Nigel Simmons
Follow
Education
Sports
Slideshow view
Report
Share
Slideshow view
Report
Share
1 of 25
Download now
Recommended
Niit niit
Niit niit
Manish Singh
fyfytdt6r
Probability
Probability
Emmanuel Alimpolos
11X1 T10 04 sums of a sequence
11X1 T10 04 sums of a sequence
Nigel Simmons
X2 T02 02 complex factors
X2 T02 02 complex factors
Nigel Simmons
11 X1 T02 08 inverse functions (2010)
11 X1 T02 08 inverse functions (2010)
Nigel Simmons
12X1 T04 02 Finance Formulas (2010)
12X1 T04 02 Finance Formulas (2010)
Nigel Simmons
11 X1 T02 05 surdic equalities (2010)
11 X1 T02 05 surdic equalities (2010)
Nigel Simmons
12X1 T09 04 permutations II
12X1 T09 04 permutations II
Nigel Simmons
Recommended
Niit niit
Niit niit
Manish Singh
fyfytdt6r
Probability
Probability
Emmanuel Alimpolos
11X1 T10 04 sums of a sequence
11X1 T10 04 sums of a sequence
Nigel Simmons
X2 T02 02 complex factors
X2 T02 02 complex factors
Nigel Simmons
11 X1 T02 08 inverse functions (2010)
11 X1 T02 08 inverse functions (2010)
Nigel Simmons
12X1 T04 02 Finance Formulas (2010)
12X1 T04 02 Finance Formulas (2010)
Nigel Simmons
11 X1 T02 05 surdic equalities (2010)
11 X1 T02 05 surdic equalities (2010)
Nigel Simmons
12X1 T09 04 permutations II
12X1 T09 04 permutations II
Nigel Simmons
Make sure you go to the end for the new location
Goodbye slideshare UPDATE
Goodbye slideshare UPDATE
Nigel Simmons
NOTE: there is no sound, i.e. it is not a slidecast, as slideshare are going to get rid of this feature.
Goodbye slideshare
Goodbye slideshare
Nigel Simmons
12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)
Nigel Simmons
11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)
Nigel Simmons
11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)
Nigel Simmons
12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)
Nigel Simmons
11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)
Nigel Simmons
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)
Nigel Simmons
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)
Nigel Simmons
12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)
Nigel Simmons
X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)
Nigel Simmons
X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)
Nigel Simmons
X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)
Nigel Simmons
X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)
Nigel Simmons
11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)
Nigel Simmons
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
Nigel Simmons
11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)
Nigel Simmons
11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)
Nigel Simmons
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)
Nigel Simmons
11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)
Nigel Simmons
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
siemaillard
Poster to be presented at Stochastic Numerics and Statistical Learning: Theory and Applications Workshop 2024, Kaust, Saudi Arabia, https://cemse.kaust.edu.sa/stochnum/events/event/snsl-workshop-2024. In this work we have considered a setting that mimics the Henry problem \cite{Simpson2003,Simpson04_Henry}, modeling seawater intrusion into a 2D coastal aquifer. The pure water recharge from the ``land side'' resists the salinisation of the aquifer due to the influx of saline water through the ``sea side'', thereby achieving some equilibrium in the salt concentration. In our setting, following \cite{GRILLO2010}, we consider a fracture on the sea side that significantly increases the permeability of the porous medium. The flow and transport essentially depend on the geological parameters of the porous medium, including the fracture. We investigated the effects of various uncertainties on saltwater intrusion. We assumed uncertainties in the fracture width, the porosity of the bulk medium, its permeability and the pure water recharge from the land side. The porosity and permeability were modeled by random fields, the recharge by a random but periodic intensity and the thickness by a random variable. We calculated the mean and variance of the salt mass fraction, which is also uncertain. The main question we investigated in this work was how well the MLMC method can be used to compute statistics of different QoIs. We found that the answer depends on the choice of the QoI. First, not every QoI requires a hierarchy of meshes and MLMC. Second, MLMC requires stable convergence rates for $\EXP{g_{\ell} - g_{\ell-1}}$ and $\Var{g_{\ell} - g_{\ell-1}}$. These rates should be independent of $\ell$. If these convergence rates vary for different $\ell$, then it will be hard to estimate $L$ and $m_{\ell}$, and MLMC will either not work or be suboptimal. We were not able to get stable convergence rates for all levels $\ell=1,\ldots,5$ when the QoI was an integral as in \eqref{eq:integral_box}. We found that for $\ell=1,\ldots 4$ and $\ell=5$ the rate $\alpha$ was different. Further investigation is needed to find the reason for this. Another difficulty is the dependence on time, i.e. the number of levels $L$ and the number of sums $m_{\ell}$ depend on $t$. At the beginning the variability is small, then it increases, and after the process of mixing salt and fresh water has stopped, the variance decreases again. The number of random samples required at each level was estimated by calculating the decay of the variances and the computational cost for each level. These estimates depend on the minimisation function in the MLMC algorithm. To achieve the efficiency of the MLMC approach presented in this work, it is essential that the complexity of the numerical solution of each random realisation is proportional to the number of grid vertices on the grid levels.
Poster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdf
Alexander Litvinenko
More Related Content
More from Nigel Simmons
Make sure you go to the end for the new location
Goodbye slideshare UPDATE
Goodbye slideshare UPDATE
Nigel Simmons
NOTE: there is no sound, i.e. it is not a slidecast, as slideshare are going to get rid of this feature.
Goodbye slideshare
Goodbye slideshare
Nigel Simmons
12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)
Nigel Simmons
11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)
Nigel Simmons
11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)
Nigel Simmons
12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)
Nigel Simmons
11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)
Nigel Simmons
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)
Nigel Simmons
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)
Nigel Simmons
12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)
Nigel Simmons
X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)
Nigel Simmons
X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)
Nigel Simmons
X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)
Nigel Simmons
X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)
Nigel Simmons
11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)
Nigel Simmons
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
Nigel Simmons
11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)
Nigel Simmons
11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)
Nigel Simmons
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)
Nigel Simmons
11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)
Nigel Simmons
More from Nigel Simmons
(20)
Goodbye slideshare UPDATE
Goodbye slideshare UPDATE
Goodbye slideshare
Goodbye slideshare
12 x1 t02 02 integrating exponentials (2014)
12 x1 t02 02 integrating exponentials (2014)
11 x1 t01 03 factorising (2014)
11 x1 t01 03 factorising (2014)
11 x1 t01 02 binomial products (2014)
11 x1 t01 02 binomial products (2014)
12 x1 t02 01 differentiating exponentials (2014)
12 x1 t02 01 differentiating exponentials (2014)
11 x1 t01 01 algebra & indices (2014)
11 x1 t01 01 algebra & indices (2014)
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 03 integrating derivative on function (2013)
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 02 differentiating logs (2013)
12 x1 t01 01 log laws (2013)
12 x1 t01 01 log laws (2013)
X2 t02 04 forming polynomials (2013)
X2 t02 04 forming polynomials (2013)
X2 t02 03 roots & coefficients (2013)
X2 t02 03 roots & coefficients (2013)
X2 t02 02 multiple roots (2013)
X2 t02 02 multiple roots (2013)
X2 t02 01 factorising complex expressions (2013)
X2 t02 01 factorising complex expressions (2013)
11 x1 t16 07 approximations (2013)
11 x1 t16 07 approximations (2013)
11 x1 t16 06 derivative times function (2013)
11 x1 t16 06 derivative times function (2013)
11 x1 t16 05 volumes (2013)
11 x1 t16 05 volumes (2013)
11 x1 t16 04 areas (2013)
11 x1 t16 04 areas (2013)
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 03 indefinite integral (2013)
11 x1 t16 02 definite integral (2013)
11 x1 t16 02 definite integral (2013)
Recently uploaded
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
siemaillard
Poster to be presented at Stochastic Numerics and Statistical Learning: Theory and Applications Workshop 2024, Kaust, Saudi Arabia, https://cemse.kaust.edu.sa/stochnum/events/event/snsl-workshop-2024. In this work we have considered a setting that mimics the Henry problem \cite{Simpson2003,Simpson04_Henry}, modeling seawater intrusion into a 2D coastal aquifer. The pure water recharge from the ``land side'' resists the salinisation of the aquifer due to the influx of saline water through the ``sea side'', thereby achieving some equilibrium in the salt concentration. In our setting, following \cite{GRILLO2010}, we consider a fracture on the sea side that significantly increases the permeability of the porous medium. The flow and transport essentially depend on the geological parameters of the porous medium, including the fracture. We investigated the effects of various uncertainties on saltwater intrusion. We assumed uncertainties in the fracture width, the porosity of the bulk medium, its permeability and the pure water recharge from the land side. The porosity and permeability were modeled by random fields, the recharge by a random but periodic intensity and the thickness by a random variable. We calculated the mean and variance of the salt mass fraction, which is also uncertain. The main question we investigated in this work was how well the MLMC method can be used to compute statistics of different QoIs. We found that the answer depends on the choice of the QoI. First, not every QoI requires a hierarchy of meshes and MLMC. Second, MLMC requires stable convergence rates for $\EXP{g_{\ell} - g_{\ell-1}}$ and $\Var{g_{\ell} - g_{\ell-1}}$. These rates should be independent of $\ell$. If these convergence rates vary for different $\ell$, then it will be hard to estimate $L$ and $m_{\ell}$, and MLMC will either not work or be suboptimal. We were not able to get stable convergence rates for all levels $\ell=1,\ldots,5$ when the QoI was an integral as in \eqref{eq:integral_box}. We found that for $\ell=1,\ldots 4$ and $\ell=5$ the rate $\alpha$ was different. Further investigation is needed to find the reason for this. Another difficulty is the dependence on time, i.e. the number of levels $L$ and the number of sums $m_{\ell}$ depend on $t$. At the beginning the variability is small, then it increases, and after the process of mixing salt and fresh water has stopped, the variance decreases again. The number of random samples required at each level was estimated by calculating the decay of the variances and the computational cost for each level. These estimates depend on the minimisation function in the MLMC algorithm. To achieve the efficiency of the MLMC approach presented in this work, it is essential that the complexity of the numerical solution of each random realisation is proportional to the number of grid vertices on the grid levels.
Poster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdf
Alexander Litvinenko
https://app.box.com/s/cbgl8f0rgcll2fzdqp83sjxx8nom8188
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
Nguyen Thanh Tu Collection
Telehealth.org's slide deck for PSYPACT- Practicing Over State Lines LIVE event.
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptx
Marlene Maheu
multiple sclerosis (undergraduate)
demyelinated disorder: multiple sclerosis.pptx
demyelinated disorder: multiple sclerosis.pptx
Mohamed Rizk Khodair
Sales margin plays a crucial role in the corporate world as a compass that directs enterprises towards profitability. It is the discrepancy between a good or service's selling price and its production or acquisition costs. This margin shows a company's capacity to produce income in addition to how well it manages expenses.
How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17
Celine George
Students will be able to know the anatomy & physiology of the liver and gallbladder its metabolic functions etc.
The Liver & Gallbladder (Anatomy & Physiology).pptx
The Liver & Gallbladder (Anatomy & Physiology).pptx
Vishal Singh
STL algorithm SWAP MAX MAX_ELEMENT SORT COUNT COUNT_IF
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Mohammed Sikander
Odoo Knowledge is a multipurpose productivity app that allows internal users to enrich their business knowledge base and provide individually or collaboratively gathered information.
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
Celine George
OER Benefits and Challenges by Sbabel
Benefits and Challenges of OER by Shweta Babel.pptx
Benefits and Challenges of OER by Shweta Babel.pptx
sbabel
https://app.box.com/s/z2cfx5b2yooxq1ov1wrd1dezn6af36ux
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
Nguyen Thanh Tu Collection
MOOD STABLIZER DRUGS WITH NURSES RESPONCIBILITY
MOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptx
PoojaSen20
Pie
The basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptx
heathfieldcps1
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45 Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-exploring-gemini-ai-and-integration-with-mulesoft/ Agenda ● Introduction ● Gemini AI & Gemini API ● Features & Capabilities ● MuleSoft Integration with Gemini ● Gemini Custom Connector ● Demo For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/ YouTube:- youtube.com/@mulesoftmysore Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N Speaker:- Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/ Priya Shaw - https://www.linkedin.com/in/priya-shaw Organizers:- Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/ Giridhar Meka - https://www.linkedin.com/in/giridharmeka Priya Shaw - https://www.linkedin.com/in/priya-shaw
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
MysoreMuleSoftMeetup
In this slide, we'll dive into the "First Expired, First Out" (FEFO) removal strategy in Odoo 17, specifically designed for managing perishable products. We'll explore its benefits, setup process, and how it helps minimize waste and maximize efficiency.
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Celine George
Slides from a Capitol Technology University presentation covering the doctoral programs offered by the university. Includes information on the degrees available, disciplines offered, modalities, tuition, financial aid and the application process. Presented by members of the faculty assisted by Admissions staff.
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024
CapitolTechU
Slides from the launch of the final report from our QAA Collaborative Enhancement project, 'When Quality Assurance Meets Innovation in Higher Education' 14 May 2024
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
Gary Wood
Andreas Schleicher presents at the launch of ‘What does child empowerment mean today? Implications for education and well-being’ on the 15 May 2024. The report was launched by Mathias Cormann, OECD Secretary-General and can be found here: https://www.oecd-ilibrary.org/education/what-does-child-empowerment-mean-today_8f80ce38-en
Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...
EduSkills OECD
diagnosting testing help to determine / monitoring the patient condition and find out disease, and evaluate progress of patient.
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
Ritu480198
The Department of Emergency Medicine at Carolinas Medical Center is passionate about education! Dr. Michael Gibbs is a world-renowned clinician and educator and has helped guide numerous young clinicians on the long path of Mastery of Emergency Medical Care. With his oversight, the EMGuideWire team aim to help augment our understanding of emergent imaging. You can follow along with the EMGuideWire.com team as they post these educational, self-guided radiology slides or you can also use this section to learn more in-depth about specific conditions and diseases. This Radiology Reading Room pertains to Sternal Fractures and Dislocations and is brought to you by Carrie Bissell, MD, Aaron Fox, MD, Kendrick Lim, MD, Stephanie Jensen, MD, and Olivia Rice, MD. It is has special guest editor: Sean Dieffenbaugher, MD and Laurence Kempton, MD
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sean M. Fox
Recently uploaded
(20)
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
Poster_density_driven_with_fracture_MLMC.pdf
Poster_density_driven_with_fracture_MLMC.pdf
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
TỔNG HỢP HƠN 100 ĐỀ THI THỬ TỐT NGHIỆP THPT VẬT LÝ 2024 - TỪ CÁC TRƯỜNG, TRƯ...
PSYPACT- Practicing Over State Lines May 2024.pptx
PSYPACT- Practicing Over State Lines May 2024.pptx
demyelinated disorder: multiple sclerosis.pptx
demyelinated disorder: multiple sclerosis.pptx
How to Analyse Profit of a Sales Order in Odoo 17
How to Analyse Profit of a Sales Order in Odoo 17
The Liver & Gallbladder (Anatomy & Physiology).pptx
The Liver & Gallbladder (Anatomy & Physiology).pptx
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
Stl Algorithms in C++ jjjjjjjjjjjjjjjjjj
An Overview of the Odoo 17 Knowledge App
An Overview of the Odoo 17 Knowledge App
Benefits and Challenges of OER by Shweta Babel.pptx
Benefits and Challenges of OER by Shweta Babel.pptx
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
BỘ LUYỆN NGHE TIẾNG ANH 8 GLOBAL SUCCESS CẢ NĂM (GỒM 12 UNITS, MỖI UNIT GỒM 3...
MOOD STABLIZERS DRUGS.pptx
MOOD STABLIZERS DRUGS.pptx
The basics of sentences session 4pptx.pptx
The basics of sentences session 4pptx.pptx
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Removal Strategy _ FEFO _ Working with Perishable Products in Odoo 17
Capitol Tech Univ Doctoral Presentation -May 2024
Capitol Tech Univ Doctoral Presentation -May 2024
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
Andreas Schleicher presents at the launch of What does child empowerment mean...
Andreas Schleicher presents at the launch of What does child empowerment mean...
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
Sternal Fractures & Dislocations - EMGuidewire Radiology Reading Room
X2 T05 07 Quadratic Denominators
1.
Integrating Quadratic Denominators
2.
Integrating Quadratic Denominators
3.
Integrating Quadratic Denominators
4.
Integrating Quadratic Denominators
5.
Integrating Quadratic Denominators
6.
Integrating Quadratic Denominators
7.
Integrating Quadratic Denominators
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Exercise 2F; odd
Exercise 2H; 1, 2, 5, 6, 9, 15, 17 to 20
Download now
