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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

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Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

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Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix"); } } catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

About

Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms"); } } catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

About

Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links"); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

About

Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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1 watching

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default"); } } catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

About

Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers"); } } catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

About

Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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1 watching

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, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode"); } } catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); } })(); })();
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Modelling for science and engineering Master thesis

Requirements specified in requirements.txt (python) and manifest (julia).

Installation instructions:

  • Python:

    pip install numpy scipy pandas julia \

    Or in a conda virtual environment:

    conda create --yes -n venv pip numpy pandas scipy
    conda activate venv
    
  • Julia:

    • download from https://julialang.org/downloads/
    • Install needed packages and precompile a sysimage with: julia src/create_sysimage.jl
    • If no sysimage is wanted, remove sysimage="sysimage.so" from the Julia call in self_force.py.
    • Install py-julia, to call Julia from Python: python3 -m pip install julia

Model executed like: python src/self_force.py data/prova.csv [-log_print] [-save]

Read results into pandas: df = pd.read_csv("data/prova_results.csv", comment="#", names=["rp","fm","fp"])

Abstract

The self-force problem arises in the description of the motion of particles under the action of physical fields. It has to do with the singularities that emerge when we estimate the action of the field created by a particle on its own motion. In this work we present a new method for the computation of the self-force acting on a particle moving under the influence of a scalar field in the spacetime geometry of a non-rotating (Schwarzschild) Black Hole.

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Master Thesis - New numerical methods for the computation of the self-force around Black Holes

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